AN INTERACTIVE FUZZY SATISFICING METHOD FOR GENERALIZED MULTIOBJECTIVE LINEAR-PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS

作     者：SAKAWA, M YANO, H 

作者机构：KAGAWA UNIVCOLL ECONDEPT INFORMAT SCITAKAMATSUKAGAWA 760JAPAN 

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

年 卷 期：1990年第35卷第2期

页      面：125-142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：Multiobjective linear programming interactive fuzzy satisficing method fuzzy parameters M-α-Pareto optimality satisficing solution 

摘      要：A new interactive fuzzy satisficing method for multiobjective linear programming problems with fuzzy parameters is proposed. In general, two types of fuzziness of human judgements should be incorporated in multiobjective programming problems. One is the experts ambiguous understanding of the nature of the parameters in the problem-formulation process, and the other is the fuzzy goals of the decision maker for each of the objective functions. In order to cope with both types of fuzziness, multiobjective linear programming problems with fuzzy parameters which reflect the experts ambiguous understanding in the problem-formulation are formulated and the concept of generalized α-multiobjective linear programming and M-α-Pareto optimality is introduced. In our interactive fuzzy satisficing method, the satisficing solution of the decision maker is derived efficiently from among M-α-Pareto optimal solutions. On the basis of the proposed method, an interactive computer program is written to implement man-machine interactive procedures. Finally, an illustrative numerical example for multiobjective linear programming problems with fuzzy parameters is demonstrated along with the corresponding computer outputs.