Fuzzy linear programming using a penalty method
作者： K.David Jamison , Weldon A. Lodwick
DOI: 10.1016/S0165-0114(99)00082-2
关键词: Algorithm 、 Fuzzy associative matrix 、 Defuzzification 、 Fuzzy transportation 、 Mathematical optimization 、 Mathematics 、 Membership function 、 Fuzzy number 、 Fuzzy classification 、 Fuzzy set operations 、 Fuzzy logic
摘要: In this paper we begin with a standard form of the linear programming problem. We replace each constant in problem fuzzy number. then reformat objective and constraints into an unconstrained function by penalizing for possible constraint violations. The range lies space numbers. is redefined as optimizing expected midpoint image function. show that defines concave which, therefore, can be maximized globally. present algorithm finding optimum.
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