000103   Sato I (NO, Oyama National College of Technology Oyama, Tochigi 323-0806, Japan, Email: isato@oyama-ct.ac.jp) : Generalized Bartholdi zeta function for a hypergraph. Far East J mathl Sci 2013, 78(1), 93-130.

Introduced a generalized Bartholdi zeta function of a bipartite graph, and define a generalized Bartholdi zeta function of a hypergraph H with three variables. Furthermore, we present three types of determinant expressions for the generalized Bartholdi zeta function of a hypergraph H.

13 ref

000102   Sarma B B R;Pattabhiramacharyulu N C;Lalitha S V N L (NO, Faculty of Mathematics, <35> 2-284, Vivekanandastreet, Hanumannagar Ramavarappadu, Vijayawada, Andhra Pradesh-521 108) : Two-species competing ecological model with reserve & unlimited resources for one species. Int Rev pure appl Math 2013, 9(2), 121-7.

In the present investigation, a two species competition ecological model with a constant number of species S₁ kept in reserve without participating in the competition is analysed assuming species S₁ has unlimited resources and species S₂ has limited resources. The model is characterized by a couple of first order non-linear ordinary differential equations. All the four equilibrium points are identified and stability criteria are discussed for first two equilibrium states. Further exact solutions of perturbed equations have been derived. The trajectories of perturbed states are - 31 - also illustrated making the necessary observations.

8 illus, 4 ref

000101   Salleh Z;Kilicman A (Mathematics Dep, Faculty of Science and Technology, Malaysia Terengganu Univ, 21030 Kuala Terengganu, Terengganu, Malaysia, Email: zabidin@umt.edu.my) : Pairwise nearly lindel of bitopological spaces. Far East J mathl Sci 2013, 77(2), 147-71.

Introduced and study the pairwise nearly Lindelof bitopological spaces and obtain some results. Moreover, authors study the pairwise nearly Lindelof subspaces and subsets and investigate some of their- characterizations. We also show that the pairwise nearly Lindelof space is not a hereditary property. Some examples will be considered in order to establish some of their relationships. Finally, certain conditions on which a bitopology reduced to a single topology are investigated.

18 ref

000100   Saikia H K;Kalita M C;Barthakur L K (Mathematics Dep, Gauhati Univ, Guwahati-781 014, Email: hsaikia@yahoo.com ) : On fuzzy substructures of modules. Int Rev pure appl Math 2013, 9(2), 107-14.

In this paper authors attempt is to investigate certain characteristics of fuzzy substructures like fuzzy annihilators of a fuzzy subset of a module and essential fuzzy submodules of a module. Using the concept of fuzzy annihilators fuzzy prime submodule is defined and various related results are established.

9 ref

000099   Ryoo C S (Mathematics Dep, Hannam Univ, Daejeon 306-791, Korea) : Exploring the zeros of the second kind twisted (h, q)-euler polynomials. Far East J mathl Sci 2013, 77(2), 195-203.

In this paper, authors investigated the zeros of the second kind twisted (h, q) -Euler polynomials E^{(h)_{n, q, w}.}

4 illus, 2 tables, 7 ref

000098   Ruhiyat;Wayan Mangku I;Wayan Mangku I;Gusti Putu Purnaba I (Mathematics Dep, Bogor Agricultural Univ, Jalan Meranti, Kampus IPB Dramaga Bogor-16680, Indonesia, Email: ruhiyat01@gmail.com) : Consistent estimation of the mean function of a compound cyclic poisson process. Far East J mathl Sci 2013, 77(2), 183-94.

11 ref

000097   Rezac M (Mathematics and Statistics Dep, Masaryk Univ, Kotlarska 2, 611 37 Brno, Czech Republic, Email: mrezac@math.muni.cz) : Parametric estimates of J-divergence for credit scoring models. Far East J mathl Sci 2013, 79(2), 219-39.

J-divergence is widely used to describe the difference between two probability distributions. It is also called the Information value for the purpose of scoring models, e.g., credit scoring models used to predict a probability of clients default. The aim of the paper is to show formulas for frequently occurred - 30 - situations when scores are normally, beta and gamma distributed. A simulation study showing performance of parametric estimates and an empirical estimate of J-divergence is included.

9 illus, 18 ref

000096   Rahman M;Wu H (NO, Minnesota State Univ, Mankato, MN 56001, U.S.A., Email: mezbahur.rahman@mnsu.edu) : Note on normality tests based on moments. Far East J mathl Sci 2013, 79(2), 273-82.

The subject of assessing whether a data set is from a specific distribution has received a good deal of attention. This topic is critically important for the normal distribution. Recently, Rahman and Wu showed that moment based D'Agostino and Pearson test has higher power against the alternatives considered comparing to the Anderson and Darling [1] A test, Chi-square tests for various numbers of groups, Shapiro-Francia W' test, and three different likelihood tests by Zhang and Wu. Here, compared two different moment based tests, D'Agostino and Pearson and Jarque and Bera, along with their respective empirical and asymptotic distributions. Also give algorithms, how the relevant specialized tables can be generated, and then the respective tests can be implemented simultaneously without much difficulty.

12 ref

000095   Prathap D;Baskar Babujee J (Mathematics Dep, Bapatla Engineering College, Bapatla-522 101, Email: prathap_dp@yahoo.com) : Magic and bimagic labeling for star graphs. Int Rev pure appl Math 2013, 9(2), 85-94.

Graph G(p, q) is said to have an edge magic total labeling if there exists a bijection f: V∪ E → {1, 2, 3, ..., p + q} such that for each edge e - (u, v) ∈ E, f(u) + f(e) + f(v) = k, for some constant k. G is said to have an edge bimagic total labeling if there exists a bijection f: V∪E→ {1, 2, 3, ..., p + q} such that for each edge e - (u, v) ∈ E, f(u) + f(e) +f(v) = k₁ or k₂, for some constants k₁ and k₂. Obtains all possible ways of edge magic total labeling and edge bimagic total labeling for the star graph K_1,n.

7 illus, 3 ref

000094   Niikuni H (NO, Faculty of Science and Engineering Doshisha Univ, 1-3Miyakodani, Tatra, Kyotanabe Kyoto 610-0394, Japan, Email: hniikuni@mail.doshisha.ac.jp) : On the degenerate spectral gaps on the 1D schrodinger operators with 4-term periodic delta potentials. Far East J mathl Sci 2013, 78(1), 131-55.

Discuss the spectrum of the one-dimensional Shrodinger operator with 4 periodic delta interactions. Our purpose in this paper is to determine whether or not the jth spectral gap is degenerate for a given natural number j.

11 ref

000093   Min W K;Kim M H (Mathematics Dep, Kangwon National Univ, Chuncheon, 200-701 Korea, Email: wkmin@kangwon.ac.kr) : Fuzzy r-minimal β-compactness of fuzzy r-minimal spaces. Far East J mathl Sci 2013, 79(1), 145-59.

Authors studied the concepts of fuzzy co-r-M-β-continuous mapping, fuzzy r-minimal β-compact, almost fuzzy β-minimal β-compact, nearly fuzzy r-minimal β-compact on fuzzy r-minimal spaces. Also investigate the relationships between fuzzy r-M-β-continuous - 29 - (fuzzy co-r-M-β-continuous) mappings and several types of fuzzy r-minimal β-compactness.

7 ref

000092   Lee K J (Mathematics Education Dep, Hannam Univ, Daejeon 306-791, Korea, Email: lsj1109@hotmail.com) : Int-soft filters in CI-algebras. Far East J mathl Sci 2013, 79(2), 161-8.

The notion of int-soft filters of a CI-algebra is introduced, and related properties are investigated. Characterization of an int-soft filter is discussed, and conditions for a soft set to be an int-soft filter are provided. New int-soft filter from old one is established.

9 ref

000091   Kwon N (Mathematics Dep, Daegu Univ, Daegu 712-714, Korea, Email: nkwon@daegu.ac.kr) : Borcherds-kac-moody lie algebras, special primitive weights and lie algebra homology. Far East J mathl Sci 2013, 79(1), 1-23.

Let g be a Borcherds-Kac-Moody Lie algebra, and let A be a dominant integral weight arising from g. We also let L(Λ) be the irreducible highest weight g -module with highest weight A. In this paper, we study relationships between non-vanishing terms of the character of L(Λ) parameterized by primitive weights and irreducible components of Kostant's homology space.

11 ref

000090   Kumar R;Solai Raju A (Mathematics Dep, Mookambigai College of Engineering, Kalamavur) : Fuzzy multi-objective production inventory model of deteriorating items with shortage and various types of demands. Int Rev pure appl Math 2013, 9(2), 135-52.

In this paper, multi-items, multi-objective production inventory model of deteriorating items with stock dependent demand and constant demand is developed with shortage in crisp and fuzzy environments. In our model the total holding cost and the total shortage cost are limited. The rate of production is also finite and uniform. Authors objectives are maximizing the profit and minimizing the wastage cost. In the case of fuzzy environment, unlike crisp, the above said objectives are fuzzy in nature. The allowable total shortage cost and total holding cost are also assumed to be vague and imprecise. The impreciseness in the above objectives and constraints have been expressed by fuzzy linear membership functions. Here, crisp and fuzzy models are developed and solved by the weighted fuzzy non-linear programming (FNLP), fuzzy additive goal programming (FAGP) and integrated goal attainment, and fuzzy non-linear programming technique (GAFNLP). Both the models are illustrated with numerical examples and the results of different techniques are compared.

4 tables, 21 ref

000089   Krishnamoorthy S;Rajagopalan T;Vijayakumar R (NO, Ramanujan Research Centre, Govt. Arts College, Kumbakonam-612 001, Email: trg_82@rediffmai.com) : On k-idempotent matrices. Int Rev pure appl Math 2013, 9(2), 115-9.

Concept of - 28 - κ-idempotent matrices is introduced. Some basic results of κ-idempotent matrices and their spectral, κ-spectral properties are given.

4 ref

000088   Kim W K (Mathematics Education Dep, Chungbuk National Univ, Cheongju 361-763 Korea, Email: wkkim@chungbuk.ac.kr) : On the E-KKM theorem and its applications. Far East J mathl Sci 2013, 78(1), 71-83.

The celebrated KKM theorem is a very basic and versatile tool in nonlinear analysis and convex analysis. Recently, Youness [13] introduced the new concepts of E-convex sets and E-convex functions that many results for convex sets and convex functions actually hold for a wider class of sets and functions. In this paper, using the E-convexity, we first introduce the E-KKM map, and next prove the E-KKM theorem. As applications, we shall prove fixed point theorems and an equilibrium existence theorem in E-convex settings.

13 ref

000087   Kim C I;Jung K H (Mathematics Education Dep, Dankook Univ, 152, Jukjeon-Ro, Suji-Gu, Yongin-Si, Gyeonggi-Do, 448-701, Korea, Email: kci206@hanmail.net) : Functional equation f(x) = pf(x-1)qf(x-2) + rf(x-3) and its hyers-ulam stability. Far East J mathl Sci 2013, 77(1), 55-63.

11 ref

000086   Kim C B (Mathematics Dep, Kookmin Univ, Seoul-136 702, Korea, Email: cbkim@kookmin.ac.kr) : Another axiomatization of B-algebras II. Far East J mathl Sci 2013, 77(1), 125-36.

In this paper, author introduced the notion of a BP-algebra, and showed that the class of BP-algebras is equivalent to the class of B-algebras.

10 ref

000085   Kim B (Math-Physics Section, College of Science and Technology, Hong-Ik Univ, 339-701 Chochiwon, Korea, Email: bkim@hongik.ac.kr) : A note on gamma matrix relations between left and right spinor representations and electromagnetic vector potential. Far East J mathl Sci 2013, 77(2), 245-53.

4 ref

000084   Khampakdee J;Boonpok C (Mathematics Dep, Faculty of Science Mahasarakham Univ, Mahasarakham, 44150, Thailand, Email: chawalit.b@msu.ac.th) : G_w-closed sets in weak structure spaces. Far East J mathl Sci 2013, 77(2), 205-15.

6 ref

000083   Kavitha C;Vijayalakshmi C (Mathematics Dep, Sathyabama Univ, Chennai, Email: ceekavi@gmail.com) : Implementation of fuzzy multi-objective linear programming using weighted additive ranking technique for supplier evaluation and allocation. Far East J mathl Sci 2013, 78(1), 29-41.

This paper focuses the design of fuzzy multi-objective linear programming technique for supplier selection, as it plays an important role in supply chain management. Selection of suppliers and allocating orders to supplier is a multi-objective problem which includes both quantitative and - 27 - qualitative factors. In this paper, weighted additive fuzzy multi-objective linear program integrated with analytic hierarchy process is designed with the concept of rough set theory to allocate orders to the suppliers with multiple products, multiple criteria in multi-period time with budget, capacity, and product demand in the market. Fuzzy approach is applied to overcome the vagueness, imprecision and uncertainty in real life situations and the model has been applied to supplier selection of a high technology company named Multi-Flex Lami-Print Ltd. which manufactures flexible packaging materials. Based on the numerical calculations, this model can be considered as an effective one which is applicable to all types of industries.

15 ref

000082   Katemee N;Mayureesawan T (Applied Statistics Dep, Faculty of Applied Science King, Mongkut's Univ of Technology, North B, Bangkok-10800, Thailand, Email: narun_ess@hotmail.com) : Cusum charts for zero-inflated generalized poisson process. Far East J mathl Sci 2013, 77(2), 225-43.

This paper develops four new cumulative sum charts (CUSUM charts) based on zero-inflated generalized Poisson (ZIGP) process. These charts can be used to detect shifts in the parameters for both the individual and simultaneity. The developed charts are as follows: the λ_z -CUSUM chart is used to detect the mean of nonconformities (λ) shifts, the ω_z -CUSUM chart for detecting proportion of zero nonconformity (ω) shifts, the (ϕ_Z -CUSUM chart is used to detect over dispersion (ϕ) shifts and the T_Z-CUSUM chart is for use in detecting simultaneous λ, ω and ϕ shifts. These developed charts are compared with the c-chart based on ZIGP distribution (c_Z -chart). The performance was considered from the average run length (ARL). We have found that when there is simultaneous shift in λ, ω and ϕ, for some levels of parameters, the T_Z -CUSUM chart is superior for low levels of shift. When there is only shift in λ for high levels of parameters, the λ_Z-CUSUM chart is the best for all levels of shifts. When there is only shift in ω for all levels of parameters, the ω_Z -CUSUM chart performs for all levels of shifts. Finally, when there is only shift in ϕ for high levels of parameters, the ϕ_Z -CUSUM chart is the best for all levels of shifts.

4 illus, 2 tables, 12 ref

000081   Karim S;Omar Z;Ibrahim H (School of Quantitative Sciences, College of Arts and Sciences, Univ Utara Malaysia 06010 Sintok, Kedah, Malaysia, Email: mila@uum.edu.my) : The division free parallel algorithm for finding determinant. Far East J mathl Sci 2013, 79(1), 105-22.

A cross multiplication method for determinant was generalized for any size of square matrices using a new permutation strategy. The permutation is generated based on starter sets. However, via permutation, the time execution of sequential algorithm became longer. Thus, in order to reduce the computation time, a parallel strategy was developed which is suited for master and slave paradigm of the high performance computer. A parallel algorithm is integrated with message passing interface. The numerical results showed that the parallel methods computed the determinants faster than the sequential counterparts particularly when the tasks were equally allocated.

6 illus, 4 tables, 17 ref

000080   Kalyanaraman R;Sumathy S (Mathematics Dep, Annamalai Univ, Annamalainagar-608 002) : Feedback queue with multiple servers and batch service. Int Rev pure appl Math 2013, 9(2), 129-33.

In this paper author considered an M/M^{xIC feedback queue. The arrival stream of customers follows Poisson with rate λ. The customers are served in batches, with a minimum of one and a maximum of b customers per server, in a system of C servers. Service time distribution of each batch is exponential with mean 1/μ and is independent of batch size. After completion of each service the batch may feedback into the queue for additional service with probability p or leaves the system with probability q (p + q = 1). For this model deriveed the probabilities in steady state and the moments of queue length. Numerical results are also given.}

2 illus, 1 table, 9 ref

000079   Kaewcharoen A (Mathematics Dep, Faculty of Science, Naresuan Univ, Phitsanulok, 65000, Thailand, Email: anchaleeka@nu.ac.th) : Fixed point theorems and convergence theorems for generalized nonexpansive mappings. Far East J mathl Sci 2013, 77(1), 85-104.

Proved the unique common fixed point theorems for a pair of R-weakly commuting mappings satisfying the generalized contractive conditions in metric spaces. Moreover, author also proved the weak convergence theorems for the sequences of Mann iterations and modified Ishikawa iterations in uniformly convex Banach spaces satisfying the Opial's condition where T is generalized S-nonexpansive type and S satisfies condition (C).

16 ref

000078   Jiang X Y;Gao Y;Jiang Z L (Information and Telecommunications Engineering Dep, The Univ of Suwon Wau-ri, Bongdam-eup, Hwaseong-si Gyeonggi-do, 445-743, Korea, Email: jixy19890422@gmail.com) : Determinants and inverses of skew and skew left circulant matrices involving the k-lucas numbers in communications-II. Far East J mathl Sci 2013, 78(1), 1-17.

In this paper, authors consider the skew circulant and skew left circulant matrices with the k-Lucas numbers in communications. First, author discuss the invertibility of the skew circulant matrix and present the determinant and the inverse matrix by Constructing the transformation matrices. Furthermore, the invertibility of the skew left circulant matrices is also discussed. Obtains the determinants and the inverse matrices of the skew left circulant matrices by utilizing the relation between skew left circulant matrices and skew circulant matrix, respectively.

16 ref

000077   Goo Y H (Mathematics Dep, Hanseo Univ, Seosan Chungnam 356-706 Republic of Korea, Email: yhgoo@hanseo.ac.kr) : Boundedness in the perturbed nonlinear differential systems. Far East J mathl Sci 2013, 79(2), 205-17.

14 ref

000076   Fitrianto A;Hanafi I (Mathematics Dep, Faculty of Science Univ Putra Malaysia, Malaysia, Email: anwarstat@gmail.com) : On the performance of stepwise selection method in the presence of outlier. Far East J mathl Sci 2013, 79(1), 77-90.

Stepwise regression is one of common procedures of variable selection in linear regression model when we have many independent variables. The procedure is known to have good performance under least squares methods when there is no outlier in the data. In this article, conduct a study based on an empirical data to observe the performance of the stepwise regression in the presence of a single outlier in the data. We found that the presence of a single outlier may bother the selecting variables in - 25 - step(s) of the stepwise regression. This leads to have misinterpretation of decision makers.

2 illus, 4 tables, 15 ref

000075   Fadail Z M;Ahmad A G B (School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor Darul Ehsan Malaysia, Email: zaid_fatail@yahoo.com) : Fixed point theorem of N-order in cone metric spaces. Far East J mathl Sci 2013, 79(1), 49-76.

The existence and uniqueness of the coupled fixed points in cone metric spaces have been studied. Fixed point of TV-order for the mapping F : X^{N → X has been introduced recently in 2010. In this paper, we establish a fixed point theorem of N-order for the mapping F in such spaces. The presented theorem extends and generalizes several well-known comparable results in literature, in particular, the results from Sabetghadam et al. [18].}

30 ref

000074   Fadail Z M;Ahmad A G B (NO, School of Mathematical Sciences, Faculty of Science and Technology, Ke, 43600 UKM Bangi, Selangor Darul Ehsan Malaysia, Email: zaid_fatail@yahoo.com) : New coupled coincidence point and common coupled fixed point results in cone metric spaces with c-distance. Far East J mathl Sci 2013, 77(1), 65-84.

The aim of this paper is to prove common coupled fixed point results under c-distance on cone metric spaces. Provided some examples to illustrate obtained results.

28 ref

000073   Edward Samuel A;Balamurugan M (Ramanujan Research Centre, P.G. Research Mathematics Dep, Government Arts College (Autonomous), Kumbakonam, Tamil Nadu, Email: aedward74_thrc@yahoo.co.in) : Application of fuzzy set in medico-legal aspects. Far East J mathl Sci 2013, 77(1), 105-13.

This paper analyses, how a father's (mother's) blood group can be identified with the help of mother's (father's) and their children's blood group. Here fuzzy set theory (FS) is applied to identify the blood group, and also the Rh factor of the same.

10 ref

000072   Deetae N;Sukparungsee S;Areepong Y; Jampachaisri K (Applied Statistics Dep, Faculty of Applied Science King Mongkut's Univ of Technology North Ban, Bangkok 10800, Thailand, Email: natthineed@hotmail.com) : Combination of empirical bayes and nearest neighbor in classification of heavy-tailed distribution. Far East J mathl Sci 2013, 77(2), 255-6.

This study is aimed at to propose a new classification technique using Empirical Bayes in combination with Nearest Neighbor (EBNN) and compare its result with classification using Empirical Bayes (EB) in - 24 - normal and heavy-tailed symmetric data. The study is performed using conjugate priors, normal distributions with unknown mean but known variance. Data employed in this study are simulated, consisting of training set and test set with the sample sizes 100, 200 and 500 for the binary classification. In EBNN, the estimated parameters obtained from EB were selected using Nearest Neighbor method (NN) based on Euclidian distance, providing improved performance when compared to EB in all situations under study.

3 tables, 20 ref

000071   Chutia R;Mahanta S;Datta D (Mathematics Dep, Gauhati Univ, Guwahati, Assam-781 014, Email: rituparnachutia7@gmail.com) : Uncertainty modelling of atmospheric dispersion by stochastic response surface method under aleatory and epistemic uncertainties. Sadhana 2014, 39(2), 467-85.

The parameters associated to a environmental dispersion model may include different kinds of variability, imprecision and uncertainty. More often, it is seen that available information is interpreted in probabilistic sense. Probability theory is a well-established theory to measure such kind of variability. However, not all available information, data or model parameters affected by variability, imprecision and uncertainty, can be handled by traditional probability theory. Uncertainty or imprecision may occur due to incomplete information or data, measurement error or data obtained from expert judgement or subjective interpretation of available data or information. Thus for model parameters, data may be affected by subjective uncertainty. Traditional probability theory is inappropriate to represent subjective uncertainty. Possibility theory is used as a tool to describe parameters with insufficient knowledge. Based on the polynomial chaos expansion, stochastic response surface method has been utilized in this article for the uncertainty propagation of atmospheric dis-persion model under consideration of both probabilistic and possibility information. The proposed method has been demonstrated through a hypothetical case study of atmospheric dispersion.

4 illus, 9 tables, 40 ref

000070   Cho Y D;Lee J S;Im Y B (NO, Faculty of General Education Dongguk Univ, Seoul 100-715, Korea, Email: joyd@dongguk.edu) : Product sheaves on product spaces. Far East J mathl Sci 2013, 77(2), 217-24.

5 ref

000069   Chauhan S;Sumitra;Pant B D (NO, Near Nehru Training Centre H. No. 274, Nai Basti B-14, Bijnor-246 701, Email: sun.gkv@gmail.com) : Coincidence and common fixed point theorems in intuitionistic fuzzy metric spaces. Far East J mathl Sci 2013, 79(1), 25-48.

In this paper, we prove some fixed; point theorems for weakly compatible self mappings in intuitionistic fuzzy metric spaces employing common property (E.A). The results improve, extend and generalize several previously known fixed point theorems of the existing literature. Some related results are also derived besides furnishing several illustrative examples.

41 ref

000068   Changphas T (Mathematics Dep, Faculty of Science Khon Kaen Univ, Khon Kaen 40002, Thailand, Email: thacha@kku.ac.th ) : A note on right simple elements ordered semigroups. Far East J mathl Sci 2013, 79(2), 267-72.

An element a of an ordered semigroup (S, ; ≤) is said to be right simple if (aS] = S (x is an element of (aS] if x ≤ as for - 23 - some s ∈ S). The purpose of this note is to study right simple element ordered semigroups: ordered semigroups containing right simple elements.

9 ref

000067   Changphas T (Mathematics Dep, Faculty of Science Khon Kaen Univ, Khon Kaen 40002, Thailand, Email: thacha@kku.ac.th ) : On regular duo ordered semigroups. Far East J mathl Sci 2013, 79(2), 177-83.

Some characterizations of a regular duo ordered semigroup, a regular ordered semigroup in which every left ideal is a two-sided ideal and every right ideal is a two-sided ideal, in terms of two-sided ideals, quasi-ideals and bi-ideals are presented. The results on semigroups without order become then special cases.

7 ref

000066   Byun J;Yun Y S (Mathematics Education Dep, Kyungnam Univ, Gyeongsangnam-do 631-701, Korea) : Exponential fuzzy probability for generalized trapezoidal fuzzy sets. Far East J mathl Sci 2013, 77(2), 267-74.

Zadeh defines the probability of the fuzzy event A using the probability P. defined the exponential fuzzy probability on R using the exponential distribution. And calculated the exponential fuzzy probability for generalized trapezoidal fuzzy sets.

6 ref

000065   Boonpok C (Mathematics Dep, Faculty of Science Mahasarakham Univ, Mahasarakham, 44150, Thailand, Email: chawalit.b@msu.ac.th) : ℑ_μ*-closed sets in ideal topological spaces. Far East J mathl Sci 2013, 77(2), 173-82.

In this paper, authors introduce the notion of I*_μ-closed sets in an ideal topological space. Obtains some basic properties and characterizations of I*_μ-closed sets.

11 ref

000064   Baskar Babujee J;Babitha S (Mathematics Dep, Anna Chennai Univ, Chennai-600 025, Email: baskarbabujuee@yahoo.com) : L(2,1) labeling for some class of planar graphs. Int Rev pure appl Math 2013, 9(2), 95-105.

Channel-assignment problem involves assigning frequencies represented by nonnegative integers to radio transmitters such that transmitters in close proximity receive frequencies that are sufficiently far apart to avoid interference. An L (2, l)-labeling of a graph G is a function/from the vertex set V (G) to the nonnegative integers such that | f(x) -f(y)| ≥ 2 if d(x,y) = 1 and | f(x)-f(y)|≥l if d(x,y) = 2. In this paper we study L(2,1) labeling for the class of planar graphs with maximal edges and special type of planar graphs.

3 illus, 6 ref

000063   Balaji S (Mathematics Dep, SASTRA Univ, Thanjavur 613401, Email: balaji@maths.sastra.edu) : Local search based greedy heuristic for minimum vertex cover problem. Far East J mathl Sci 2013, 79(2), 257-66.

The Minimum Vertex Cover (MVC) problem is a classic graph optimization NP-complete problem. In this paper, a competent algorithm, called Support Algorithm (SA), is designed to find the smallest vertex cover - 22 - of a graph. The SA is tested on a large number of random graphs and benchmark graphs. Comparative study of this algorithm with the Dual-LP and hBOA methods has been carried out. Extensive simulation results show that the SA can yield better solutions than other existing algorithms found in the literature for solving the minimum vertex cover problem.

1 illus, 2 tables, 25 ref

000062   Arul R;Alagesan K (Mathematics Dep, Kandaswami Kandar's College Velur 638182, Namakkal Dt. Tamil Nadu, Email: rarulkkc@gmail.com) : Oscillation criteria for third order nonlinear dealy difference equations. Far East J mathl Sci 2013, 79(2), 241-55.

12 ref

000061   Aprilliani E;Subchan;Yunaini F;Hartini S (Mathematics Dep, Institut Teknologi Speuluh Nopember, Kampus ITS Keputih Sukolilo Surab, Indonesia, Email: april@matematika.its.ac.id) : Estimation and control design of mobile robot position. Far East J mathl Sci 2013, 77(1), 115-24.

The mobile robot is one of the Unmanned Vehicles (UV). The mobile robot can control the moving direction by itself. The present position of mobile robot can be detected by global positioning system (GPS), the direction of moving can be controlled based on the estimation of those positions. In this paper, we estimate the one step ahead of mobile robot position by using Ensemble Kalman Filter (EnKF) and based on those estimation results, it can be controlled the one step ahead of mobile robot direction. Here, author derived dynamical model of mobile robot, and discretize respect to time. Before we apply the EnKF to estimate the position of mobile robot, we gave the trajectory path, where the mobile robot will pass. We discretize the trajectory path into some segments and count the tangent of segment. author used the angle of segment tangent as drive angle. In this simulation, author apply three types of path, a linear path, a circular path and a path with corner. The EnKF is one of data assimilation methods to estimate the state variable of nonlinear dynamic stochastic system.

7 illus, 8 ref

000060   Amir A K (Mathematics Dep, Faculty of Mathematics and Natural Sciences Hasanuddin Univ, Jl. Perintis Kemerdekaan KM. 10 Makassar, 90245, Indonesia, Email: amirkamalamir@yahoo.com) : On maximal ideal of skew polynomial rings over a dedekind domain. Far East J mathl Sci 2013, 78(1), 85-91.

8 ref

000059   Adachi Y (NO, , 2-12-29 Kurakuen, Nishinomiya, Hyogo 662-0082, Japan, Email: fwjh5864@nifty.com) : Normality domain of a family of holomorphic functions on a stein space. Far East J mathl Sci 2013, 77(1), 137-45.

Let X be a Stein space. Then author proved that for any family F ⊂ O(X) every normality domain of it in a strong sense is a O(X) -convex domain of X.

8 ref

024332   Zhang C (Mathematical Sciences Dep, Morehouse College, Atlanta, GA 30314, U.S.A., Email: czhang@morehouse.edu ) : On some power relations in mapping class groups. Far East J mathl Sci 2013, 76(1), 1-24.

Let S be a Riemann surface of type (p, n + 1) with a puncture z. Let a, b ⊂ S be simple closed geodesies. Denote by i(a, b) the geometric intersection number between a and 6. In this paper, authors study some power relations among the Dehn twists t_a, t_b and a point-pushing map f. Show that (i) if (t_b^{-1t_a2f)k = t_b-k t_a2k fk for sufficiently large integers k, then i(a, b) = 0 or i(a₀, b) = 0 for a geodesic a₀₀, b) = 0 for a geodesic a₀ parallel to a, then there is a point-pushing map f such that for all k, (t_b-1t_a2f)k = t_b-k t_a2kfk. As a consequence, authors investigate the projections of the mapping classes t_b-kt_a2k to parabolic mapping classes on S ∪ {z}.}

4 illus, 12 ref

024331   Yeoul-Ouk S (Applied Mathematics Dep, Kongju National Univ, 182 Shinkwandong, Kongju-City, 314-701 Korea) : Balanced mappings. Far East J mathl Sci 2013, 76(1), 89-95.

In this paper, authors characterize balanced mappings and find sufficient condition for the image of an F-preorder to be an F-preorder under a balanced mapping and find sufficient condition for the inverse image of an F-preorder to be an F-preorder under a balanced mapping.

7 ref

024330   Xiao-Yu J;Gao Y;Zhao-Lin J (Information and Telecommunication Engineering Dep, Suwon Univ, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do-445 743, Korea, Email: jxy19890422@gmail.com) : Determinants and inverses of skew and skew left circulant matrices involving the k-fibonacci numbers in communications-I. Far East J mathl Sci 2013, 76(1), 123-37.

In this paper, authors consider the skew circulant and skew left circulant matrices with the k-Fibonacci numbers, in communications. First, they discuss the invertibility of the skew circulant matrix and present the determinas and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of the skew left circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the skew left circulant matrices by utilizing the relation between skew left circulant matrices and skew circulant matrix, respectively.

16 ref

024329   Venkatesh A;Elango S (NO, A.V.V.M. Sri Pushpam College, Poondi-Thanjavur, Tamil Nadu, Email: a_venkatesh03@yahoo.co.in) : Acceptance sampling for the influence of TRH using crisp and fuzzy gamma distribution. Arya Bhatta J Math Inf 2014, 6(1), 119-24.

Acceptane sampling is a vital branch of study in Statistical Quality Control. While applying theoretical developments resisted to acceptance sampling in real life situations quite often problems of different kinds are faced by practitioners. In this paper we compare the Acceptance probability of Phosphatidic acid by the influence of TRH in GH3 Pituitary Cells by Using Gamma distribution with crisp and fuzzy parameter. The results are consistent and we have shown that crisp Gamma distribution lies in Fuzzy Gamma distribution.

2 tables, 14 ref

024328   Tyagi A;Saroa M S;Singh T P (NO, M.M. Univ, Mullana, Ambala) : Application of a stochastic queue model in a restaurant- a case study. Arya Bhatta J Math Inf 2014, 6(1), 115-18.

Study aims to show that queuing theory satisfies the stochastic model when applied to a practical and real time scenario. We obtained the data from a famous restaurant A.P. Residency at Ambala City. The various performance measures as utilization rate, waiting time queue length and the probability of potential customers to balk based on the data have been studied using Little's formulae. The study in one way is helpful to increase the quality of service in the Restaurant by anticipating if there are many customers in the queue; on the other hand, the restaurant can set a target profit that should be achieved on daily basis. In our numerical we have shown mathematically that the service time is needed to be improved in preventing customers balking and go to another competitive restaurant. The study gives more significant than the Simulation Models.

2 tables, 10 ref