TO SOLVE MATRIX GAMES WITH FUZZY GOALS USING PIECEWISE LINEAR MEMBERSHIP FUNCTIONS
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In this paper, the solution concepts are presented for a two person zero-sum matrix game with fuzzy goals using piecewise linear membership functions. This paper shows that the solution of matrix game with fuzzy goals can be determined by solving two crisp linear programming problems which are dual to each other in fuzzy sense. The fuzziness in goals is characterized through piecewise linear membership functions. One numerical example is illustrated to show the e ectiveness and advantage of the proposed technique.
Abstract
In this paper, the solution concepts are presented for a two person zero-sum matrix game with fuzzy goals using piecewise linear membership functions. This paper shows that the solution of matrix game with fuzzy goals can be determined by solving two crisp linear programming problems which are dual to each other in fuzzy sense. The fuzziness in goals is characterized through piecewise linear membership functions. One numerical example is illustrated to show the e ectiveness and advantage of the proposed technique.
참고문헌 (16)
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