Kybernetika 52 no. 1, 153-168, 2016

Solving multi-objective fuzzy matrix games via multi-objective linear programming approach

Abha Aggarwal and Imran KhanDOI: 10.14736/kyb-2016-1-0153

Abstract:

A class of multi-objective fuzzy matrix games is studied and it is shown that solving such a game is equivalent to solving a pair of multi-objective linear programming problems. This work generalizes an earlier study of Fernandez et al. \cite{Fernandez} from crisp scenario to fuzzy scenario on the lines of Bector et al. \cite{Chan2}. Further certain difficulties with similar studies reported in the literature are also discussed.

Keywords:

multi-objective game, Pareto-optimal security strategies, security level, multi-objective linear programming

Classification:

90C70, 91A40

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