Open AccessSolving Game Problems involving Heptagonal and Hendecagonal Fuzzy Payoffs
Author(s) -
Namarta,
Umesh C. Gupta,
Neha Ishesh Thakur
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.f7956.078919
Subject(s) - fuzzy logic , matrix (chemical analysis) , fuzzy number , ranking (information retrieval) , rank (graph theory) , mathematics , computer science , mathematical optimization , stochastic game , mathematical economics , fuzzy set , artificial intelligence , combinatorics , materials science , composite material
The main aim of this paper is to deal with a two person zero sum game involving fuzzy payoff matrix comprising of heptagonal and hendecagonal fuzzy numbers. Ranking of fuzzy numbers is a hard task. Many methods have been proposed to rank different fuzzy numbers such as triangular, trapezoidal, hexagonal, octagonal etc. In this paper, a matrix game is considered whose payoffs are heptagonal and hendecagonal fuzzy numbers and ranking method is used to solve the matrix game. By using this proposed approach the fuzzy game problem is converted into crisp problem and then solved by applying the usual game problem techniques. The validity of proposed method is illustrated with the help of two different practical examples; one where the two companies are venturing into online restaurant business and the other where the two political parties with conflicting interests during elections are competing with each other.