Solving Game Problems involving Heptagonal and Hendecagonal Fuzzy Payoffs
Namarta1, Umesh Chandra Gupta2, Neha Ishesh Thakur3
1Namarta, Department of Mathematics, Khalsa College Patiala, India.
2Umesh Chandra Gupta, Department of Mathematics, Shivalik College of Engineering, Dehradun, India.
3Neha Ishesh Thakur, Department of Mathematics, Government Mohindra College, Patiala, India.
Manuscript received on 26 June 2019 | Revised Manuscript received on 05 July 2019 | Manuscript published on 30 July 2019 | PP: 2114-2120 | Volume-8 Issue-9, July 2019 | Retrieval Number: F7956088619/19©BEIESP | DOI: 10.35940/ijitee.F7956.078919
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: 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.
Keywords: Heptagonal Fuzzy Numbers, Hendecagonal Fuzzy Numbers, Ranking Function, Fuzzy Game Theory.
Scope of the Article: Algorithmic Game Theory