A KIND OF FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PSOBLEMS BASED ON INTER VALVALUED FUZZY SETS  

作　　者：XU Jiuping (Department of Applied Mathematics, Sichuan University, Chengdu 610065, China) 

出　　处：《Journal of Systems Science & Complexity》2001年第2期149-158,共10页系统科学与复杂性学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(No. 79670060).

摘　　要：This paper presents a general solution procedure and an interactive fuzzy satisfying method for a kind of fuzzy multi-objective linear programming-problems based on interval valued fuzzy sets. Firstly, a fuzzy set of the fuzzy solutions, which can be focused on providing complete information for the final decision, can be obtained by the proposed tolerance analysis of a non-dominated set. Secondly, the satisfying solution for the decisionmaker can be derived from Pareto optimal solutions by updating the current reference membership levels on the basis of the current levels of the membership functions together with the trade-off rates between the membership functions.This paper presents a general solution procedure and an interactive fuzzy satisfying method for a kind of fuzzy multi-objective linear programming-problems based on interval valued fuzzy sets. Firstly, a fuzzy set of the fuzzy solutions, which can be focused on providing complete information for the final decision, can be obtained by the proposed tolerance analysis of a non-dominated set. Secondly, the satisfying solution for the decisionmaker can be derived from Pareto optimal solutions by updating the current reference membership levels on the basis of the current levels of the membership functions together with the trade-off rates between the membership functions.

关 键 词：FUZZY number interval-valued FUZZY SETS multiple objective linear PROGRAMMING interactive FUZZY satisfying method parametrically INTERVAL values. 

分 类 号：O221[理学—运筹学与控制论]