A fuzzy multiobjective program with quasiconcave membership functions and fuzzy coefficients

作     者：Li, HL Yu, CS 

作者机构：Natl Chiao Tung Univ Inst Informat Management Hsinchu 30050 Taiwan Shih Chien Univ Dept Informat Management Taipei 10020 Taiwan 

出 版 物：《FUZZY SETS AND SYSTEMS》 (模糊集与系)

年 卷 期：2000年第109卷第1期

页      面：59-81页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：fuzzy multi-objective linear programming goal programming piecewise linear membership function quasiconcave function 

摘      要：A method is proposed for solving a fuzzy multi-objective linear programming problem (FMP) with quasiconcave membership functions and fuzzy coefficients. The proposed method first expresses a piecewise function as the summation of absolute terms. Then we search for the interval where the optimal solution is allocated by finding the corresponding points with same value of membership functions. After that, the problem is solved by goal programming techniques. Comparing with other FMP methods, the proposed method does not need to add extra zero-one variables, to divide the original problem into several sub-problems, or transforming all original quasiconcave functions into concave functions. In addition, the proposed method could solve a FMP problem with fuzzy coefficients;to obtain a solution closing to a global optimum. (C) 2000 Elsevier Science B.V. All rights reserved.