Interactive Fuzzy Programming Using Partial information about Preference for Multiobjective Two-Level Linear Programming Problems

This paper presents interactive fuzzy programming for a multiobjective two-level linear programming problem. In the proposed method, after determining fuzzy goals for all the objective functions of the two decision makers, the decision maker at the upper level subjectively specifies minimal satisfac...

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Vydáno v:Journal of Japan Society for Fuzzy Theory and Systems Ročník 13; číslo 3; s. 292 - 301
Hlavní autoři: NISHIZAKI, Ichiro, SHEN, Yong Xin, SAKAWA, Masatoshi
Médium: Journal Article
Jazyk:angličtina
japonština
Vydáno: Japan Society for Fuzzy Theory and Intelligent Informatics 15.06.2001
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ISSN:0915-647X, 2432-9932
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Shrnutí:This paper presents interactive fuzzy programming for a multiobjective two-level linear programming problem. In the proposed method, after determining fuzzy goals for all the objective functions of the two decision makers, the decision maker at the upper level subjectively specifies minimal satisfactory levels for all of the fuzzy goals and the decision maker at the lower level also specifies aspiration levels for all the fuzzy goals. A solution is obtained by solving the problem with the minimal satisfactory levels and the aspiration levels, and the solution is evaluated by using the partial information about preferences of the decision makers. Taking into consideration an overall satisfactory balance between the two decision makers, they update some of the minimal satisfactory levels and the aspiration levels, if necessary, in order to derive a solution satisfactory to them.
ISSN:0915-647X
2432-9932
DOI:10.3156/jfuzzy.13.3_68