iosr-Jm   Volume-10 ~ Issue-5 ~ Sep-Oct 2014

Abstract: The Theoretical Values Are Defined In Novel Approach For Decision Making Based On Observed Values Of Chi Square Statistic. With These Values Of Theoretical Based On Expected, Decision Making Method Is Relatively New And Offers A Generic, Simple, Easy And Convenient Decision-Making Method That Involves Very Less Computation. The Method Lays Emphasis On Decision Making Methodology, Gives Much Attention To The Issues Of Identifying The Attributes And To Associating The Alternatives With The Attributes Etc. This Method Enables A More Critical Analyzing And Any Number Of Objective And Subjective Attributes Can Be Considered. The Measures Of The Attributes And Their Relative Importance Are Used Together To Rank The Alternatives And Hence Provide A Better Evaluation Of The Alternatives.

Key Words: Chi-Square Statistic, Decision Making, Machining Process Output Variables, GTMA.

[1]. Rao Rv (2004) Performance Evaluation Of Cutting Fluids For Green Manufacturing Using A Combined Multiple Attribute Decision Making Method. Internal Journal Of Environmentally Conscious Design And Manufacturing 12: 526 – 535.
[2]. Rao Rv, Gandhi Op (2001) Digraph And Matrix Method For Selection, Identification And Comparison Of Metal Cutting Fluids. Proc. Ime, Journal Of Engineering Tribology 212:307–318
[3]. Rowe Gw (1982) Lubricant Testing For Grinding Operations. Wear 77:73–80
[4]. Sun J, Ge P, Zhenchang L (2001) Two-Grade Fuzzy Synthetic Decision-Making System With Use Of An Analytic Hierarchy Process For Performance Evaluation Of Grinding Fluids. Tribology International 34:683–688
[5]. Tan Xc, Liu F, Cao Hj, Zhang H (2002) A Decision-Making Framework Model Of Cutting Fluid Selection For Green Manufacturing And A Case Study. Journal Of Materials Processing Technology 129:467–470.

Abstract: In this paper we introduced a new concept of graph of any finite group and we obtained graphs of some finite groups. Moreover some results on this concept are proved.

Keywords: Group, Abelian group, Cyclic group, Graph, Degree of a graph

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[4]. Jean H. Gallier. Discrete Mathematics.(Universitext. Springer Verlag, first edition, 2011.)
[5]. Reinhard Diestel, Graph Theory ( Springer International Publication, Second Edition, 2011)

Abstract: In Finsler space we see special 𝛼,𝛽 −metrics such as Randers metric, Kropina metric and Matsumoto metric.,etc. Locally dually flat Finsler metrics arise from Information Geometry. Such metrics have special geometric properties and will play an important role in Finsler geometry. In this paper, we are going to study class of locally dually flat Finsler metrics which are defined as the sum of a Riemannian metric and 1−𝑓𝑜𝑟𝑚. In this paper, we study the special 𝛼,𝛽 −𝑚𝑒𝑡𝑟𝑖𝑐 𝐿 satisfying

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Abstract:Let G = (V, E) be a simple Graph. A set S  V(G) is a vertex-edge dominating set (or simply ve-dominating set) if for all edges e  E(G), there exists a vertex v  S such that v dominates e. In this paper, we study the concept of vertex-edge domination polynomial of wheels, Wn. The vertex-edge domination

[1] Alikhani. S and Peng. Y. H, Dominating sets and Domination polynomials of paths. Hindwi publishing corporation,
International Journal Mathematics and Mathematical sciences 2009.
[2] Vijayan .A and Nagarajan .T, Vertex-edge dominating sets and vertex-edge domination polynomial of paths..
International Journal of Mathematics Trends and Technology Volume 4, issue 11, Dec 2013.
[3] Vijayan .A and Nagarajan .T, Vertex-Edge dominating sets and vertex-edge domination polynomial of cycles submitted.
[4] Sahib Shayyal Kahat, Abdul Jalil M. Khalaf, Roslan Hasni, Dominating sets and Domination polynomials of stars.
ustralian Journal of Basic and applied Sciences, 8(6) : 383-386, 2014.
[5] Vijayan .A and Nagarajan .T Vertex-Edge Domination Polynomial of Graph. International Journal of Mathematical
Archieve 5(2), (2014), 281-292.
[6] Bondy J.A. and Murthy U.S.R., Graph Theory with Applications, Elsevier Science Publishing Co, Sixth printing
(1984).
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Abstract:In this paper a unique common end point result is proved for pair of set valued mappings satisfying a generalized ( ,) weak contractive condition in complete metric space. This theorem is the extension of some results existing in the literature. An example has been provided to validate the main result of this paper.

Keywords: Fixed point, end point, Complete metric space , Set valued mapping, Generalized contractive condition.

[1]. Abbas M. and D. Doric , A common end point theorem for Set-Valued generalized ( , ) weak contraction , Hindawi
Publishing Corporation , Fixed Point Theory and Applications Volume 2010, Article ID 509658, 8 pages
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and Its Applications, I. Gohberg and Y. Lyubich, Eds., vol.98 of OperatorTheory: Advances and Applications, pp. 7–22,
Birkh¨auser, Basel, Switzerland, 1997.
[3]. Beg I. and Abbas M., "Coincidence point and invariant approximation for mappings Satisfying generalized weak contractive
condition," Fixed Point Theory and Applications, vol. 2006, Article ID 74503,7 pages, 2006.
[4]. Ciric, L.B., Fixed points for generalized multivalued contractions, Math. Vesnik, 9(24),1972, 265–272.
[5]. Doric D., "Common fixed point for generalized (ψ, ϕ )-weak contractions," Applied Mathematics Letters,vol. 22, no. 12, pp. 1896–
1900, 2009.

Abstract: The knowledge of matrices is very important not only in mathematics, but also in economics, sociology and modern psychology including industrial management. It should be important to note that the evolution of concept of matrices is the result of an attempt to obtain compact and simple methods of solving a system of linear equations. Matrix algebra is also highly significant as it can enable us to do many things. It provides information regarding the testing of existence of a solution by evaluation of a determinant. While for solving a system of linear equations the role of matrix inverse method is highly effective. Matrix inverse can be determined only when the given matrix is non-singular in nature. In simple sense we can say that matrix inverse can be determined only under the condition that determinant value of the given matrix is not become equal to zero. Matrix inverse, in application is defined as the ratio of adjoint matrix and determinant value of that matrix. The adjoint matrix is the transpose of cofactor matrix where cofactor of each and every element of the given matrix is determined on the basis of minor of the matrix. If A is assumed as any square matrix where A  0 then matrix inverse usually denoted by A-1 is defined as

[1]. R.G.D Allen, Mathematical Analysis for Economics, A.I.T.B.S. Publishers (2008).
[2]. Srinath Baruah, Basic Mathematics & its applications in Economics, Macmillan (2011).
[3]. A.C. Chiang, Fundamental Methods of Mathematical Economics, Mcgraw-Hill International Editions (1984).
[4]. E.T. Dowling, Introduction to Mathematical Economics, Mcgraw-Hill (2001).
[5]. R.K.Lekhi & J. Singh, Agricultural Economics: An Indian Perspective, Kalyani Publishers, Ludhiana (2010).
[6]. Mehta- Madnani, Mathematics for Economists, Sultan Chand & Sons (2007).

Abstract: A traveling wave solution, using the proposed Tan-Cot Function Method for Nonlinear Partial Differential Equations, has been established in this paper. This method is used to obtain new solitary wave solutions for nonlinear partial differential equations such as the Coupled Klein-Gordon system of equations, Huxley equation, Dispersive Long Wave Equation and Korteweg-dVries (KDV) equation

[1]. Mahmood Jawal Abdul Rasool Abu Al-Shaeer. "Solutions for Nonlinear Partial Differential Equations by Tan-Cot Method". IOSR Journal of Mathematics, vol 5, Issue 3(Jan-Feb 2013), pp 06-11.
[2]. Anwar Ja'afar Mohammed Jawal. "New exact solutions of Nonlinear Partial Differential Equations Using Tan-Cot Function Method". Studies in Mathematical sciences, Vol.5, No 2, 2012, pp 13 – 25
[3]. Nasir Taghizadeh et al. "Exact Traveling Wave solutions of the Coupled Klein-Gordon Equation by the infinite series method". Applications and Applied Mathematics, Vol 6, Issue 1 (June 2011), pp23-231
[4]. N. Taghizadeh et al. "Soliton Solutions of the Huxley equation by the modified-Expansion Method" Mathematica
[5]. Ram Daya Panka & Arun Kumar, "Solutions of the Coupled Klein-Gordon Equation by Modified Exp-Function Method". Indian Journal of Applied Research,Research Paper, Mathematics, Vol: 3/ Issue: 3/ March 2013/ ISSN-2249-555X

Abstract: The MAC performance of IEEE 802.11 DCF and the IEEE 802.11e EDCA is analyzed in nonsaturated
condition which means sometimes the device does not have a packet for transmission. In this paper we
assume that there is no generation of flow while the previous flow is in service and the number of packets in
flow is geometrically distributed. In the non-saturated condition, the first packet arriving at the idle station is
transmitted without entering into backoff procedure. We attempt to model the stochastic behavior of one station
as a discrete time Markov chain.
Keywords: DCF, discrete time Markov chain, MAC, non-saturation condition

[1]. G. Bianchi, "Performance Analysis of the IEEE 802.11 Distributed Coordination Function," IEEE Journal on Selected Areas in
Communications, Vol. 18, No. 3, pp. 535–547, Mar. 2000.
[2]. Tae Ok KIM, Kyung Jae KIM, Bong Dae CHOI, "Performance analysis of IEEE 802.11 DCF and IEEE 802.11e EDCA in nonsaturation
condition", IEICE Trans. Communication., VOL. E91-B, No.4 April 2008.
[3]. IEEE, "International Standard Information technology-Telecommunications and information exchange between systems-Local and
metropolitan area networks-Specific requirements Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer
(PHY) Specifications," IEEE 802.11-1999, 1999.
[4]. IEEE, "IEEE Standard for Information Technology - Telecommunications and information exchange between systems - Local and
metropolitan area networks - Specific requirements - Part 11: Wireless Medium Access Control (MAC) and Physical Layer (PHY)
Specifications: Amendment 8 Medium Access Control (MAC) quality of service (QoS) enhancements," IEEE P802.11e-2005,
2005.

Abstract: For many centuries since ancient times the angle trisection has remained one of the three geometric problems that could not have a clear solution by straightedge and compass. Should such a solution had been, no one would have spent time on it. Moreover, no need would have been to prove that its solution is impossible due to the third degree equation. No need would have been to prove that it is impossible to construct a great number of regular polygons which now by this solution is absolutely possible. Furthermore, this solution by putting an end to all this, should also make us wonder whether Algebra can substitute Geometry especially when in an equation exist arithmetic factors behind which, a possibly different structure of it, is well hidden.

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Abstract: In this paper we introduce and study fuzzy generalized b-connected spacein fuzzy Topological space
on fuzzy sets and introduce some types of fuzzy (ɡp-connected,ɡs-connected,ɡ-connected and ɡsp–connected)
space with some properties, relations andTheorems about this subject.
Keywords: fgb-separated sets, fgb-connected space.

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[3]. F. S. Mahmoud,M. A. Fath Alla, and S. M. Abd Ellah, Fuzzy topology on fuzzy sets:fuzzy semicontinuity and fuzzy semisparation
axioms, J. Applied Mathematics and Computation, Vol.153, 2004, 127-140.
[4]. R. Santhi and D. Jayanthi,Generalized semi-pre-connectedness in intuitionistic fuzzytopological spaces, Ann. Fuzzy Math. Inform,
Vol.3, 2012, 243-253.
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