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SONG Wei, ZHAO Mao-Xian, WANG Xiang-Rong
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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
SONG Wei, ZHAO Mao-Xian, WANG Xiang-Rong. Fuzzy programming approach for Multilevel linear programming[J]. Operations Research Transactions.
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https://www.ort.shu.edu.cn/EN/Y2011/V15/I4/85