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Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 28, Issue.: 4

Original-research-article

A Heuristic Algorithm for Solving Two Person Zero Sum Game Using Triangular Fuzzy Number

 

G. K. Saha1, H. K. Das2* and Kamrunnahar3

1Department of Mathematics, Jagannath University, Dhaka-1100, Bangladesh.

2Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh.

3Southeast Business School, Southeast University, Dhaka-1213, Bangladesh.

Article Information

Editor(s):

(1) Dr. Radko Mesiar, Professor, Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology Bratislava, Slovakia.

(2) Dr. Feyzi Basar, Professor, Department of Mathematics, Fatih University, Turkey.

Reviewers:

(1) Marcin Pluciński, West Pomeranian Uniwersity of Technology, Szczecin, Poland.

(2) Grzegorz Sierpiński, Silesian University of Technology, Poland.

(3) Nurmamat Helil, Xinjiang University, China.

Complete Peer review History: http://www.sciencedomain.org/review-history/26105

Abstracts

The present study deals with two person zero sum game problem and fuzzy linear programming (FLP) problem, and then development of an algorithm using FLP. To accomplish this goal, the two person zero sum game problems were first converted into linear programming (LP) problems and then by using FLP the solution of the problem was obtained. The new method is a systematic procedure and can be utilised for all types of two person zero sum game problem irrespective of maximise or minimise objective function. At the end, this method is illustrated with a number of numerical examples.

Keywords :

Game theory; fuzzy linear programming problem; triangular fuzzy number; membership function; fuzzy version of simplex method.

Full Article - PDF    Page 1-18

DOI : 10.9734/JAMCS/2018/42923

Review History    Comments

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