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Bi-matrix Games with Fuzzy Goals and Fuzzy
Authors:V. Vidyottama  S. Chandra  C.R. Bector
Affiliation:(1) Department of Mathematics, Indian Institute of Technology, Hauz Khas, India;(2) Department of Business Administration, The University of Manitoba, Manitoba, Canada
Abstract:A bi-matrix game with fuzzy goal is shown to be equivalent to a (crisp) non-linear programming problem in which the objective as well as all constraint functions are linear except two constraint functions, which are quadratic. This equivalence is further extended to bi-matrix games with fuzzy pay-offs, as well as to bi-matrix games with fuzzy goals and fuzzy payoffs, whose equilibrium strategies are conceptualized by employing a suitable ranking (defuzzification) function.
Keywords:Fuzzy goal  Fuzzy pay-offs  Fuzzy non-linear programming problem  Fuzzy number
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