IJPAM: Volume 89, No. 5 (2013)

METHOD TO SOLVE FUZZY GAME MATRIX

Sanjiv Kumar$^1$, Ritika Chopra$^2$, Ratnesh R. Saxena$^3$
$^{1,2}$Department of Mathematics
University of Delhi
Delhi, 110007, INDIA
$^3$Department of Mathematics
Deen Dayal Upadhyay College
Delhi University
Delhi, INDIA


Abstract. The paper considers a two person zero sum game with imprecise values in the payoff matrix. All the imprecise values are assumed to be triangular fuzzy numbers. The proposed method is an interactive method that integrates the concept of fuzzy ranking and the minimax principle to get an imprecise game value. The decision maker can amicably change the values of the parameter until a satisfactory result is obtained.

Received: August 6, 2013

AMS Subject Classification:

Key Words and Phrases: two person zero sum game, fuzzy number, triangular fuzzy number, fuzzy ranking, minimax principle

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DOI: 10.12732/ijpam.v89i5.4 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 5