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Fuzzy programming approach for Multilevel linear programming

 SONG  Wei, ZHAO  Mao-Xian, WANG  Xiang-Rong   

  • Received:2010-12-15 Revised:2011-05-26 Online:2011-12-15 Published:2011-12-19

Abstract: In this paper, membership functions of fuzzy set theory described each objective of multilevel linear programming, after the first decision-maker gives a minimum satisfaction level, by solving the corresponding levels of fuzzy programming to determine the minimum satisfaction degree of each level, and ultimately gets a satisfactory solution of the problem. The proposed method only needs to solve a series of linear programming problems, with better complexity and feasibility, the last example further verifies the validity of the method.

Key words:  Multilevel linear programming, fuzzy programming, membership functions,
satisfactory solution