Solutions for fuzzy matrix games
COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.60, no.3, pp.399-410, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 60 Issue: 3
- Publication Date: 2010
- Doi Number: 10.1016/j.camwa.2010.04.020
- Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.399-410
- Keywords: Fuzzy goal, Fuzzy payoff matrix, Fuzzy relation, Fuzzy quantity, Nonlinear programming problem, Max-min solution, Relaxation procedure, Two-person zero-sum games, MULTIOBJECTIVE BIMATRIX GAMES, EQUILIBRIUM SOLUTIONS, DUALITY, GOALS, PAYOFFS
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, we deal with two-person zero-sum games with fuzzy payoffs and fuzzy goals. We have presented two models for studying two-person zero-sum matrix games with fuzzy payoffs and fuzzy goals. We assume that each player has a fuzzy goal for each of the payoffs. We obtained that the fuzzy relation approach and the max-min solution are equivalent. (C) 2010 Elsevier Ltd. All rights reserved.