017550   Selvaraj C;Vasanthi N (Mathematics Dep, Presidency College, Chennai-600 005, Email: pamc9439@yahoo.co.in) : Some properties of hypergeometric functions for certain subclasses of starlike and convex functions. Arya Bhatta J Math Inf 2010, 2(2), 295-304.

The purpose of the present paper is to give a sufficient condition for hypergeometric function to be in a subclasses of starlike and convex functions of order a, which is also necessary condition under additional restrictions. Furthermore, an integral operator related to the hypergeometric function is also considered. Mathematics Subject Classification: 30C45.

13 ref

017549   Satyavati (NO, P.D.M. College of Engg, Bahadurgarh, Haryana) : Reliability estimation and mathematical modulation of paper formation system. Arya Bhatta J Math Inf 2010, 2(2), 261-8.

This study discussed the Reliability prediction and Availability analysis of paper formation system in paper industry under some assumptions, taking constant failure and repair times. The differential difference equations associated with the system are solved recursively. Expression for various parameters of the system as Reliability function, long run Availability followed by some special cases are discussed. The effect of failure and repair rates on long run Availability have been presented graphically.

2 illus, 2 tables, 8 ref

017548   Sarkar S;Pal M (Mathematics Dep, Vivekananda College for Women Barisa, Kolkata-700 008, Email: srabani[underscore]sarkar@rediffmail.com) : Measure of fuzziness involved in fuzzy-valued variable. Adv Fuzzy Math 2009, 4(2), 85-100.

Gives emphasis on finding out the amount of fuzziness involved in a fuzzy linguistic term in terms of fuzziness involved in other linguistic terms which are close in meaning to the former one. Also, set operations on such fuzzy sets that can be represented in terms of other fuzzy sets are meaningfully defined in the paper. Different aspects of fuzziness involved in a fuzzy-valued variable are mentioned, cross-checked and proved.

23 ref

017547   Saini R K;Kumar M (Mathematics Dep, D.A.V. College, Muzaffarnagar, Email: rksaini03@yahoo.com) : Common fixed point theorems in fuzzy metric space using implicit reletations. Adv Fuzzy Math 2009, 4(2), 181-92.

The purpose of this paper is to prove a a common fixed point theorem with implicit relations in fuzzy metric space by studying the relationship between the continuity. The result generalize and fuzzify the result of Mishra et al. [21], Jain et al. [15], Sharma [29] in fuzzy metric space.

34 ref

017546   Saikia H K;Misra K (Mathematics Dep, Gauhatin Univ, Guwahati-781 014, Email: hsaikia@yahoo.com) : On strictly FGD N-groups with acc on annihilators. Panjab Univ Res J Sci 2009, 59(1-4), 213-26.

Establish a unique closed primary decomposition of the zero ideal in a strictly FGD N-group with ace on annihilators. A result analogous to that of the famous Artin Rees theorem is obtained in case of such an N-group. It is observed that the set of minimal strictly prime ideals of such a near-ring is finite. Non-singular character of an N-group of above type gives that the intersection of associated strictly primes of the same is the nil radical of the annihilator of the group.

7 ref

017545   Rao K P R;Sadik S K;Raju V C C (Applied Mathematics Dep, Acharya Nagarjuna University-Dr M.R. Appa Row Campus, NUZVID-521 201, , Email: kprrao2004@yahoo.com) : Unique common fixed point theorem for two pairs of hybrid mappings. Arya Bhatta J Math Inf 2010, 2(2), 251-4.

Authors obtained a unique common fixed point theorem for two pairs of hybrid mappings with a new type condition. Also we obtain a coincidence point theorem for the same hybrid pairs.

5 ref

017544   Ramaswamy V;Kanakaraddi S G (Information Science and Engineering Dep, Bapuji Institute of Engineering and Technology, Davangere, Karnataka-577 004, Email: researchwork04@yahoo.com ) : Fuzzy context free grammars. Adv Fuzzy Math 2009, 4(2), 167-79.

Natural language is perhaps the most powerful tool which humans possess for conveying information. We know natural languages in general are full of ambiguities. For example, the same word in English can have different meanings depending on the context in which it is used. Consider for example, the sentences "He can do this job" and "He came with a can". To resolve such ambiguities, fuzzy logic is a more convenient tool. Introduces the concepts of fuzzy context free grammar and fuzzy regular CFG. Proves that L is a fuzzy regular language if and only if L is generated by a fuzzy regular CFG. Illustrates the constructions with examples.

5 ref

017543   Rajneesh Kumar;Subash Kumar;Anil Kumar (Mathematics Dep, Kurukshetra University, Kurukshetra, Email: rajneesh_kuk@rediffmail.com) : Some new information theoretic measures based upon statistical constants. Arya Bhatta J Math Inf 2010, 2(2), 329-38.

The field of Statistics is extensively used for the measurement of central tendency, dispersion, comparison and co variation. On the other hand, measures of information are used to study diversity and equitability. These two fields have been used independent of each other for data analysis. In this communication, we develop the link between the two and prove that the well known standard statistical measures can be used as information measures. Our study will be a new interdisciplinary field of research and it will be possible to describe information content of a system from its statistics.

2 illus, 2 tables, 16 ref

017542   Pandit P V;Math C M (Statistics Dep, Bangalore University, Bangalore-560 056, Email: panditpv12@gmail.com) : On testing for proportionality constant in proportional Hazards model. Arya Bhatta J Math Inf 2010, 2(2), 189-92.

Proportional hazards models due to Cox(1972) is the popular method of regression in survival analysis. Under the assumption of proportional hazards, testing the proportionality constant is one of the problems of interest in the context of competing risks. Deshpande, Frey and Ozturk(2005) considered this problem and proposed a test to test proportionality constant. In this paper, proposed a new class of test statistics based on sub sample. The asymptotic distribution of the new class of tests is established. The performance of the members of the proposed class of tests is also studied in terms of Pitman asymptotic relative efficiencies. It is observed that the members of new class of tests perform better than the existing tests in the literature.

1 table, 4 ref

017541   Munoli S B;Suranagi M D (Statistics Dep, Karnatak University, Dharwad-580 003) : Reliability prediction in fatal and non-fatal shock model. Arya Bhatta J Math Inf 2010, 2(2), 255-60.

Authors obtained a unique common fixed point theorem for two pairs of hybrid mappings with a new type condition. Also we obtain a coincidence point theorem for the same hybrid pairs.

8 ref

017540   Munoli S B;Bhat S V (Statistics Dep, Karnatak University, Dharwad-580 003, Email: sbmunoli@yahoo.co.in) : Estimation of reliability in non-accumulating damage shock model. Arya Bhatta J Math Inf 2010, 2(2), 175-82.

A Component subjected to a sequence of shocks occurring randomly in time as events of a Poisson process is considered. The shocks damage the component and the successive shocks cause greater amount of damage. The component fails whenever the damage due to shock exceeds the threshold of the component, otherwise serves its purpose adequately (non accumulating damage shock model). The reliability function of the model is derived assuming exponential distribution for damages. Maximum likelihood and Bayes estimators of reliability function are obtained. Computation of these estimators using Monte-Carlo simulation study is discussed.

2 tables, 10 ref

017539   Mor K (Humanities & Social Sc. Dep, National Institute of Technology, Kurukshetra-136 119, Email: drkiran.nit@gmail.com) : Impact of state government educational expenditure on NSDP in Haryana: an econometric approach through Lag models. Arya Bhatta J Math Inf 2010, 2(2), 183-8.

In this study, an attempt is made to identify the time lag required for the Govt. expenditure on education to make its significant influence on NSDP through lag models, for the. State of Haryana, under partial equilibrium frameªwork. The results of the lag models suggest that the Government expenditure on education influences signifiªcantly NSDP in Haryana after a period of 15 years. The time period required for the Government expenditure on education to make its contribution to the economic growth in various other states needs to be identified by further research work to know whether differences exist among the states in this regard.

1 table, 9 ref

017538   Meenakshi A R;Jenita P (Mathematics Dep, Karpagam College of Engineering, Coimbatore@yahoo.co.in) : On parallel summable fuzzy matrices. Adv Fuzzy Math 2009, 4(2), 107-12.

Dicusses the invariance of the matrix product CXB for all choices of k-g-inverses X of A. Extends the concept of parallel summability f'or a pair of fuzzy matrices using the k-g-inverse of their sum. Derives some basic properties of k-parallel summable fuzzy matrices.

5 ref

017537   Lakshmi S;Tamilselvi G (NO, K.N. Govt. Arts College for Women, Thanjavur) : Mathematical model to find the crucial role of central and peripheral catecholamines in modulating immune function. Arya Bhatta J Math Inf 2010, 2(2), 269-72.

Central catecholamine depletion inhibits peripheral lymphocyte responsiveness in spleen and blood. The central catecholaminergic system plays a pivotal role in the communication between the brain and the immune system. In the present study a mathematical model is used to find the hazard rate of the immune system and the corresponding reliability function for the changes in neurotransmitter in Hypothalamus and spleen due to secretion of Noradrenalin and Adrenalin for the experimental groups. There is no change in immune system for the Vehicles. This model stress and confirm the role of catecholamine's in peripheral immune homeostasis.

1 illus, 10 ref

017536   Lakshmi S;Geetharani B (K.N. Governmentarts College (W), , Thanjavur) : Non-parametric proportional hazard model for protective and damaging effects of stress mediators. Arya Bhatta J Math Inf 2010, 2(2), 217-20.

The failure analysis of electromechanical equipment under Renewal process with type of failure as a covariate is applied to human system. Prolonged response and inadequate response due to physiological loads are analysed and the corresponding Hazard rate function is obtained to find the maximum and minimum values of time of failures.

6 illus, 7 ref

017535   Lahiri B K;Chakrabarty M K;Sen A (Pure Mathematics Dep, Calcutta Univ, 35, Ballygunje Circular Road, Kolkata-700 019, Email: bklahiri_kly@yahoo.co.in) : Converse of Banach's contraction principle and star operation. Proc Natn Acad Sci India-Sect A 2009, 79(4), 367-74.

The converse of Banach's contraction mapping principle has been classified in two ways - first type and second type. A concept has been derived which implies the first type converse. For the second type, the name contractifiable has been suggested by past workers. We study the influence of the star operation (developed elsewhere) on contractifiability in various metric spaces.

15 ref

017534   Kusum;Singh T P (NO, M.M. University Mullana, ) : Monotonic behaviour of a queue system under service surrender facility. Arya Bhatta J Math Inf 2010, 2(2), 345-50.

The present study is an attempt to discuss a queue system containing two different types of queues namely primary and secondary queues. Keeping in the mind of server's certain limitations and depending upon the kind of service given by server, the existence of secondary queue is being decided. The average waiting time in the system by a customer and service wastage rate has been explored in the paper. The results have been analyzed through graphs: The service wastage rate throws some light about the amount of instability in the system when the secondary queue is in existence.

3 tables, 9 ref

017533   Kaushal V (MBA Dep MIET, , Mohri, Email: varali.kaushal@gmail.com) : Concept of inclusive economic growth: still miles to go. Arya Bhatta J Math Inf 2010, 2(2), 193-8.

The present global integration has improved the international competitiveness of the economy by reducing rent seeking and encouraging technological innovation. The rate of growth has accelerated and the level of poverty is reduced. By sustaining this high growth, as envisaged in the 11th Five Year Plan, which began on April 1,2007, India will become a middle income country in terms of the current World Bank threshold level of per capita income of $875. Growth, though crucial for reducing the level of poverty and improving living standards of our people, is not enough by itself. It needs to be more inclusive, more widespread and accompanied by moderate in Ration. The first need of India is making the growth more inclusive. This would require increasing the growth rates of the agriculture and allied sectors. With just around 18% share in GOP and more than half of the population dependent on agriculture, average income in agriculture is less than a quarter compared to the rest of the economy. Unless growth in this sector accelerates along with a reduction in the number of persons dependent on this sector, relative deprivation of this sector would persist. The article contains the valuable information about how India can achieve the inclusive growth in the present competitive world.

5 ref

017532   Kalayathankal S J;Suresh Singh G;Vinodkumar P B (Mathematics Dep, Kerala Univ, Kariavattom Thiruvananthapuram-695 581, Email: sunnyjose2000@yahoo.com) : MADM models using ordered ideal intuitionistic fuzzy sets. Adv Fuzzy Math 2009, 4(2), 101-6.

The theory of ordered intuitionistic fuzzy sets is well suited to dealing with vagueness. First defines ordered positive ideal intuitionistic fuzzy sets, ordered negative ideal intuitionistic fuzzy sets and establish some results on them. Then, we define similarity measures between ordered ideal intuitionistic fuzzy sets and apply these similarity measures to multiple attribute decision making (MADM) model under ordered ideal intuitionistic fuzzy environment.

6 ref

017531   Jhajja H S;Garg D K;Mishra G (Statistics Dep, Punjabi University, Patiala-147 002) : Almost unbiased ratio type estimators of finite population mean using linear transformation on auxiliary variable. Arya Bhatta J Math Inf 2010, 2(2), 305-18.

For estimating the population mean y of the variable under study y. two ratio type estimators have been proposed by using the linear transformation on auxiliary variable x which are unbiased upto first order of approximation. The expressions for the biases and variances of the proposed estimators have been obtained upto second order of approximation. It has been found that upto first order of approximation; proposed estimators are unbiased as well as equality efficient with the existing ones. The comparison of proposed estimators with the existing ones has also been made upto second order of approximation w.r.t. their mean square errors. The results have also been illustrated numerically which show that the proposed estimators are almost unbiased and decrease in efficiency is negligible as compare to the existing ones.

5 tables, 9 ref

017530   Jain M;Chauhan D (Mathematics Dep, Indian Institute of Technology, Roorkee-247 667) : Inventory model with deterioration, inflation and permissible delay in payment. Arya Bhatta J Math Inf 2010, 2(2), 165-74.

The purpose of this paper is to explore the effect of inflation under different circumstances for the multi item inventory model with a deteriorating item. The demand is considered to be exponentially distributed Shortages are allowed and delay in payments is permissible. Two distinct cases are taken into consideration for the inventory system with payment at or before the total depletion of inventory (M ≤T₁ ≤T) and payment after depletion period (T₁≤M). The variable cost function of the inventory is constructed for both the cases. Optimal order quantity and maximum allowable shortages are also obtained. The sensitivity analysis has been carried out to examine the changes of the parameter values associated with the model via numerical illustrations.

4 tables, 8 ref

017529   Jaimini B B;Saxena H (Mathematics Dep, Government College, Kota-324 001, Email: bbjaimini_67@rediffmail.com) : Integral representation of the generalized Humbert polynomials via Kampe de Feriet Hermite polynomials. Proc Natn Acad Sci India-Sect A 2009, 79(4), 329-32.

A class of the generalized Humbert polynomials is represented by an integral involving Kampe de Feriet-Hermite polynomials H^(m)_n (x,y). The series representation and generating function involving the generalized Humbert polynomials are obtained with the help of this integral representation.

12 ref

017528   Indra;Bansal S (Stastistics and Operational Research Dep, Kurukshetra University Kurukshetra, Haryana-136 119, Email: radha_indra@rediffmail.com) : Transient analysis of an M/G/1 two-dimensional queueing model with unreliable server. Arya Bhatta J Math Inf 2010, 2(2), 221-34.

The time dependent probabilities of the exact number of arrivals and departures, by a given time t are derived analytically and numerically by solving the difference-differential equations recursively for an M/G/1 two-dimensional queueing model with unreliable server, which has a very adverse influence on the performance of the system, thus it plays an important role in practical modelling of computer and communication systems etc. Arriving customers are in Poisson stream. The servers' service time follows general distribution whereas the servers' breakdown time and repair line is exponentially distributed. Further, reliability of the 'system are analysed. Various performance measures such as number of units arrive by time t, number of units depart by time t, waiting time distribution, cumulative distribution for sojoum time, reliability of the system, servers' utilization time, servers' breakdown time and servers' idle time are provided numerically. The results are displayed in tables and graphs. Finally, some special cases for above stated model are analysed.

7 illus, 1 table, 12 ref

017527   Hari Kishan;Goel R;Dua N K (Mathematics Dep, College D N, Meerut, Uttar Pradesh) : Thermal instability of stratified viscous shear flows. Arya Bhatta J Math Inf 2010, 2(2), 273-80.

In this paper, the thermal instability of stratified viscous shear flow has been discussed Two-dimansional perturbations have been taken to discuss the stability of now Growth rate of an arbitrary unstable mode and bounds of phase velocity for different velocity profiles have been explored Range of unstable mode has also been obtained for the case of weak thermometric conductivity.

10 ref

017526   Gudadhe A S;Gudadhe P S (Mathematics Dep, Governement Vidarbh Institute of Science and Humanities, Amravati-444 604, Email: alka.gudadhe@gmail.com) : Generalizaed fractional Mellin type convolution. Proc Natn Acad Sci India-Sect A 2009, 79(4), 355-8.

A new definition of fractional Mellin type convolution is given. It is explicitly derived that this definition maintains the result of convolution theorem. Lastly some properties of fractional Mellin type convolution are also discussed.

8 ref

017525   Faghani M (Mathematics Dep, Payame Noor Univ, Tehran, I.R. Iran, Email: m_faghani@pnu.ac.ir) : Symmetry group of molecules. Asian J Chem 2009, 21(5), 4136-8.

A novel discussion on symmetry group of molecules in a finite universe is presented.

^ssc23 ref

017524   Christy Raj I;Lakshmi S (Mathematics Dep, Anjalai Ammal-Mahalingam Engg. College, Kovilvenni, Tiruvarur Tamilnadu, Email: ichristyraj@yahoo.com) : Glucocorticoid feedback inhibition in different age groups using general ageing model. Arya Bhatta J Math Inf 2010, 2(2), 199-202.

A study on aging related changes in feedback responsiveness are exaggerated near the time of the circadian nadir in adrenocortical secretion of healthy young and old women were administered metyrapone orally By using the general aging model of dynamic reliability in circulating cortisol concentrations achieved among age and gender subgroups, feedback inhibition of ACTH was found to be significantly greater in young than in old women. The results are consistent and the aging model concludes that glucocorticoid responses to stress in aging individuals are likely to be prolonged due to less effective and delayed inhibition of ACTH secretion, thus increasing significantly in old than in young women.

2 illus, 10 ref

017523   Choubey A;Ravi K M (Mathematics Dep, Jaypee Institute of Information Technology Univ, A-10, Sector-62, Email: alka.choubey@jiit.ac.in) : Vague regular language. Adv Fuzzy Math 2009, 4(2), 147-65.

Vague sets are an extension of fuzzy sets, each object of which has a grade of membership whose value is a continuous subinterval of [0, 1]. In this paper, using the concept of vague sets a definition of vague regular language is proposed and their related properties are studied. A finite automaton (DFA and NDFA) model with vague transitions and vague (final) states are proposed. The acceptance of vague regular language through these models is discussed. It is observed that, the finite automaton (DFA and NDFA) model with vague (final) states is more suitable for recognizing vague regular language than the finite automaton (DFA and NDFA) model with vague transitions. In the end, vague regular expressions are introduced. The proposed vague regular expressions can be used in lexical analysis.

1 illus, 7 ref

017522   Chakrabarty D (Statistics Dep, Handique Girls' College, Guwahati-781 001, Email: dhritikesh.c@rediffmail.com) : Probability as the maximum occurrence of relative frequency. Arya Bhatta J Math Inf 2010, 2(2), 339-44.

Chakrabarty, in 2004, constructed a theoretical definition of probability with a view to search for some method of determining the value of the probability of an event associated to a random experiment. This article is based on a method, of determining the value of the probability of an event, which has been derived from this theoretical definition of probability.

3 tables, 13 ref

017521   Bimlesh Kumar;Sreenivasulu G;Ramakrishna Rao A (Civil Engineering Dep, Indian Institute of Technology, Guwahati-781 039, Email: bimk@iitg.ernet.in) : Resistance equation for open channel. J Indian Wat Wks Ass 2009, 41(4), 299-305.

Understanding of channel flow resistance in open channel is vital to design the flow conditions. Manning's equation is generally followed for such designs. Manning's equation is valid for a hydraulically rough boundary having a narrow range of relative roughness. Present work attempts on giving a generalized and unique resistance equation for open channel, which is valid for all the regimes viz., smooth, transition and rough thereby usage o/n is avoided. Based on the experimental data taken from different sources, it has been found that the predictability of the present equation is on acceptable level.

4 illus, 1 table, 24 ref

017520   Bhat S V (Statistics Dep, Karnatak University, Dharwad) : Convex linear combination of any two U-statistics. Arya Bhatta J Math Inf 2010, 2(2), 291-4.

U-Statistics is a widely used test procedure in nonparametric inference. A number of classes of such statistics exist for various problems. In this note, it is established that, the convex linear combination of any two one/ two-sample U-statistics of different degrees is also a U-statistic.

6 ref

016403   Singh S N;Tiwari R (Mathematics and Statistics Dep, Dr. R.M.L. Avadh Univ, Faizabad-224 001, Email: sks_5277@yahoo.com) : Maximum entropy condition in multiserver queueing system. Opsearch 2009, 46(4), 461-71.

Maximum entropy condition in queueing theory of Silviu Guiasu has been subjected to further study in the present investigation. We have derived interarrival time by maximizing the entropy condition using gamma distribution. The paper ends with interesting and useful results in the form of two theorems, where the probability distribution and maximum entropy condition of the possible states of the system for multiserver queueing system has been derived.

6 ref

016402   Sarker B R;Chawhan A D;Biswas P (Industrial Engineering Dep, Louisiana State Univ, Baton Rouge, LA 70803-6409, USA, Email: bsarker@lsu.edu) : Optimal policy for recovery and procurement under multiple setups. Opsearch 2009, 46(4), 390-417.

Attempts to find the economic ordering quantity (EOQ) and economic procurement quantity (EPQ) for a system in which the demand can be satisfied by a combination of newly purchased products and recovered, used products. Used products are collected from customers and then they undergo recovery processes. These recovered products are regarded as perfectly new ones. The model developed here considers a realistic case, where there can be multiple setups for both recoveries and procurements. Studies cases where production/ procurement rate is finite and infinite. Obtains the EOQ for newly procured products and the optimal inventory level of recoverable items to start the recovery process simultaneously. The total cost equation is found to be the function of the inventory level of recoverable items to start recovery and the ratio of orders for newly procured items to setups. Then, a search procedure to find the optimal control parameters is presented. The models have been validated with illustrating numerical examples and sensitivity analysis.

11 illus, 5 tables, 22 ref

016401   Prakash S;Sharma M K;Amarinder Singh (Mathematics Dep, Amit School of Engineering and Technology, 580, Delhi-Palam Vihar Road, Bijwasan, New Delhi-110 061, Email: a_satyaprakash@yahoo.com) : Selection of warehouse sites for clustering ration shops to them with two objectives through a heuristic algorithm incorporating taby search. Opsearch 2009, 46(4), 449-60.

The problem of selecting upto a fixed number of sites, from among a given number of potential warehouse sites for clustering a given number of ration shops in them subject to several constraints with two objectives, is considered. One of the constraints is that each ration shop should be clustered to a unique warehouse site, which is selected for locating a warehouse at it; however there is no restriction on the number of ration shops to be clustered to a selected warehouse site. Another constraint is that the total cost of the warehouses to be set up should not exceed a budgetary amount. The two objectives are to minimize the total cost and duration of meeting requirements of all the ration shops from their assigned warehouses at the selected sites. A heuristic iterative algorithm incorporating tabu search is developed to find the set of efficient solutions of this problem.

4 ref, 11 ref

016400   Pandey P;Punnen A P (Mathematical Sciences Dep, New Brunswick Univ, Saint John, New Brunswick, E2L 4L5, Canada, Email: apunnen@sfu.ca) : Simplex algorithm for network flow problems with piecewise linear fractional objective function. Opsearch 2009, 46(4), 259-89.

The simplex algorithm for network flow problems has been proposed for linear, piecewise linear, and linear fractional objective functions. Piecewise linear fractional network flow problems can be transformed into equivalent linear or linear fractional programs, but the resulting problems do not possess pure network flow structure and increase the number of variables significantly. We develop a simplex algorithm to solve network flow problems with piecewise linear fractional objective function, unifying and generalizing the network simplex algorithm, network simplex algorithm for piece-wise linear programs, and network simplex algorithm for linear fractional programs. Computational results using the proposed algorithm are also discussed.

15 illus, 3 tables, 26 ref

016399   Narang R;Arora S R (Mathematics Dep, Delhi Univ, Delhi, Email: ritumaths_narang@yahoo.co.in) : Indefinite quadratic integer bilevel programming problem with bounded variables. Opsearch 2009, 46(4), 428-48.

An algorithm is developed to solve an indefinite quadratic integer bilevel programming problem with bounded variables. The problem is solved by solving the relaxed problem. A mixed integer cut for finding the integer solution of the given problem is developed. The algorithm is explained with the help of an example.

12 ref

016398   Mondal S A (India Science Lab, General Motors R&D, 3rd Floor, Creator Building, ITPB Whitefield Road, Bangalore-560 066, Email: sakib.mondal@gm.com) : Fully polynomial time approximation scheme for weighted job-dependent earliness-tardiness problem with agreeable ratios. Opsearch 2009, 46(4), 418-27.

Considers a job scheduling problem arising in JIT context where a job may incur both earliness and tardiness penalty and these penalties are dependent on the job as well as amount of earliness and tardiness. Special cases of the problems have been shown to be NP-Complete. To the best of our knowledge, there is no fully polynomial approximation scheme (FPTAS) for this problem. Proposes a FPTAS for the problem.

10 ref

015356   Solairaju A;Nagarajan R (Mathematics Dep, Jamal Mohamed College, Trichirappalli, 20, Email: solairama@yahoo.co.in) : New structure and construction of Q- fuzzy groups. Adv Fuzzy Math 2009, 4(1), 23-9.

In this paper, author fuzzify the new class of algebraic structures introduced by n (5,9). Introduced the notion of Q- fuzzy groups (QFG) and investigated some of their related properties. The purpose of this study is to implement the fuzzy set theory and group theory in Q- fuzzy groups. This fuzzification leads to development of new notions over fuzzy groups. Characterisation of Q- fuzzy groups (QFCG) and normal Q- fuzzy groups (QFNG) are given.

10 ref

015355   Satyanarayana B;Ravutla D P (Applied Mathematics Dep, Acharya Nagarjuna Univ, Dr. M.R.Appa Row Campus, Nuzvid-521 201) : Product of intuitionistic fuzzy Bck-algebras. Adv Fuzzy Math 2009, 4(1), 69-76.

The purpose of this paper is to introduce the notion of product of two intuitionistic fuzzy sets in BCK-algebras and we provide some results on it.

10 ref

015354   Satyanarayana B;Ravutla D P (Applied Mathematics Dep, Acharya Nagarjuna Univ, Dr. M.R. Appa Row Campus, Nuzvid-521 201) : Product of intuitionistic fuzzy Bck-algebras. Adv Fuzzy Math 2009, 4(1), 1-8.

The purpose of this paper is to introduce the notion of product of two intuitionistic fuzzy sets in BCK-algebras and we provide some results on it.

10 ref

015353   Sanjay Kumar;Vats R K (NO, NCERT, Sri Aurbindo Marg, New Delhi-110 016, Email: ramesh_vats@rediffmail.com) : Common fixed points for weakly compatible maps in intuitionistic fuzzy metric spaces. Adv Fuzzy Math 2009, 4(1), 9-22.

In this paper, author proved a common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric spaces which generalizes the result of Alaca, Turkoglu and Yildiz[3]. Moreover, we introduce the notions of R-weakly commuting mapping of type (A_g), R-weakly commuting mapping of type (A_f) and R-weakly commuting mapping of type (P) in intuitionistic fuzzy metric spaces and provide various examples to reflect upon the distinctiveness among R-weakly commuting mapping of type (A_g), R-weakly commuting mapping of type (Af) and R-weakly commuting mapping of type (P). At the end, author discuss some results related to these newly introduced notions and also establish an example in support of the theorem.

37 ref

015352   Parimelazhagan R;Nagaveni N (Science and Humanities Dep, Karpagam College of Engineering, Coimbatore-32, Email: pari tce@yahoo.co.in) : Fuzzy minimal weakly generalized continuous maps. Adv Fuzzy Math 2009, 4(1), 77-84.

Introduced new class of maps called fuzzy minimal weakly genralized continuous function, a new class of fuzzy closed and fuzzy open map's called fuzzy minimal genralized closed functions and fuzzy weakly generalized open maps. Authors have introduced the Fuzzy minimal strongly continuous, almost continuous^ perfectly continuous functions and studied their properties.

14 ref

015351   Islam M R;Islam M N;Abedin S (Statistics Dep, Univ of Rajshahi, Rajshahi 6205, Bangladesh, Email: roshidul_stat77@yahoo.com) : Parity pattern of early childbearing in Bangladeshi women: a multivariate statistical analysis. South Asian Anthrop 2010, 10(2), 175-9.

Early pregnancy is a critical issue in safe motherhood. Childbearing in Bangladesh is characterized by early start of motherhood, quick progress still the peak age of reproduction and slow progress still the end of childbearing period. This article presents the results of logistic regression analysis of early childbearing. Out of 11 variables, 8 variables influence the early childbearing period, they are, education of women, place of residence, religion, age at first marriage, father's education, marital duration, women work status and contraceptive use.

3 tables, 27 ref

015350   Girijamma H A;Ramaswamy H A V (Computer Science and Engineering Dep, RNSIT, Bangalore-560 061, Email: girijakasal@gmail.com) : Extension of Myhill Nerode theorem for fuzzy automata. Adv Fuzzy Math 2009, 4(1), 41-7.

In this paper, an attempt has been made to prove the analogue of Myhill Nerode Theorem for fuzzy automata. Though as in finite automata case, it does not help us in minimizing the number of states in a fuzzy automaton, nevertheless it contains very interesting results.

2 ref

015349   Esi A (Mathematics Dep, Science and Art Faculy Adiyaman Univ, Adiyaman 02040, Turkey, Email: aesi23@hotmail.com) : Strongly almost convergent classes of sequences of fuzzy numbers generated by infinite matrices defined by a modulus function. Adv Fuzzy Math 2009, 4(1), 31-9.

In this paper, author introduced and examine some new almost convergent classes of sequences of fuzzy numbers by using the A-transforms and a modulus function. Also examine topological properties and some inclusion relations for these new classes of sequences of fuzzy numbers.

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015348   Deb Ray A;Chettri P (Mathematics Dep, West Bengal State Univ, Barasat, North 24 Paraganas, Kolkata-700 126, Email: atasi@hotmail.com) : On fuzzy nearly compact regular open topology. Adv Fuzzy Math 2009, 4(1), 59-68.

In this paper, the concept of a new fuzzy topology called fuzzy nearly compact regular open topology on a collection of functions, 5, from a fuzzy topological space (fts, for short) X to another fts Y (denoted by F_NR) is introduced and studied. It is observed that the fuzzy GS - T₂ -ness (fuzzy almost regularity) of the range fts Y induces fuzzy GS - T₂ -ness (respectively, somewhat almost regularity) in 5. Moreover the fuzzy almost regularity of 7 makes the evaluation map on (, F_NR) δ-continuous. The notion of jointly fuzzy δ-continuous on fuzzy near compacta is also introduced and studied in connection with the said F_NR topology.

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024815   Yamauchi T (Dep of Math Grad Sch of Sci, Hiroshima Univ, Higashi-hiroshima 739-8526, Japan, Email: yamauchi@math.sci.hiroshima-u.ac.jp) : On Q-simple factors of Jacobian varieties of quotient modular curves. J Ramanujan Mathl Soc 2004, 19(3), 167-80.

Let N be a positive integer and W(N) be the group generated by Atkin-Lehner involutions with respect to Γ₀(N). Let J^*₀(N) be the Jacobian variety of the quotient modular curve X^*₀(N) = X₀ (N)/W(N). A complete list of levels N such that all Q-simple factors of J^*₀(N) are completely decomposable over Q have been given.

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024814   Oyanagi H (Dep of Math, Tokyo Inst of Technol, Meguro, Tokyo 152-8551, Japan, Email: oyanagi@math.titech.ac.jp) : Q-analogues of Mahler measures. J Ramanujan Mathl Soc 2004, 19(3), 203-12.

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024813   Kribs D W;Power S C (Dep of Math and Statist, Univ of Guelph, Guelph, Ontario, Canada N1G 2W1) : Free semigroupoid algebras. J Ramanujan Mathl Soc 2004, 19(2), 117-59.

Every countable directed graph generates a Fock space Hilbert space and a family of partial isometries. These operators also arise from the left regular representations of free semigroupoids derived from directed graphs. A structure theory for the weak operator topology closed algebras generated by these representations, which is being call call free semigroupoid algebras. Semisimplicity has been in terms of the graph and it has been show explicitly in the case of finite graphs how the Jacobson radical is determined. A diverse collection of examples including; algebras with free behaviour, and examples which can be represented as matrix function algebras has been provided. It has been shown how these algebras can be presented and decomposed in terms of amalgamated free products. The commutant has been determined, consider invariant subspces, a Beurling theorem has been obtained for them, conduct an eigenvalue analysis give an elementary proof of reflexivity and hyper-reflexivity. The main theorem shows the graph to be a complete unitary invariant for the algebra. This classification theorem makes use of an analysis unitarily implemented automorphisms. A graph-theoretic description of when these algebras are partly free, in the sense that they contain a copy of a free semigroup algebra has been given.

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024812   Koyama S;Kurokawa N (2-5-27 Hayabuchi Tsuzuki-ku, , Yokohama, 224-0025, Japan, Email: koyama@tmtv.ne.jp) : Certain series related to the triple sine function. J Ramanujan Mathl Soc 2004, 19(3), 161-6.

Special values of Dirichlet series whose coefficients are given by the inverse of certain binomila coefficients via the triple sine function have been computed.

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