学術論文

基本情報

氏名 丹羽 啓一
氏名(カナ) ニワ ケイイチ
氏名(英語) Niwa Keiichi

著書,学術論文等の名称

Interactive fuzzy programming using partial information about preference through genetic algorithms for multiobjective two-level integer programming problems

単著・共著の別

共著

発行又は発表の年月

2004/09

発行予定

 

発行所,発表雑誌等又は発表学会等の名称

Joint 2nd International Conference on Soft Computing and Intelligent Systems and 5th International Symposium on Advanced Intelligent Systems Conference Proceedings

巻・号

 

掲載ページ

 

概要

In this paper, focusing on multiobjective two-level integer programming problems where two decision makers with integer decision variables have multiple objective functions, we present interactive fuzzy programming for them using partial information about preference. In the proposed method, after introducing the fuzzy goals of objective functions for the decision makers, a solution, which minimizes the difference between the membership function values and the reference membership levels for the decision maker at the lower level under the condition that the membership function values are greater than or equal to the minimal satisfactory levels for the decision maker at the upper level, is obtained by genetic algorithms. After evaluating the aggregated satisfactory degree for each of the decision makers through the partial information about preference, if the ratio of the aggregated satisfactory degree for the decision maker at the lower level to that for the decision maker at the upper level satisfies a certain condition and the decision maker at the upper level is content with the solution, a satisfactory solution is obtained. Otherwise, the interactive procedures with updating the minimal satisfactory levels and the reference membership levels is going to be continued until a satisfactory solution is found.