Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters

This paper presents interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters. In fuzzy programming for multi-level linear programming problems, recently developed by Lai et al., since the fuzzy goals are determined for both an objective function and decision va...

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Veröffentlicht in:Fuzzy sets and systems Jg. 109; H. 1; S. 3 - 19
Hauptverfasser: Sakawa, Masatoshi, Nishizaki, Ichiro, Uemura, Yoshio
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 2000
Schlagworte:
Fuzzy goals
Fuzzy programming
Interactive methods
Multilevel linear programming problem with fuzzy parameters
Interactive methods
Fuzzy goals
Fuzzy programming
Multilevel linear programming problem with fuzzy parameters
ISSN:0165-0114, 1872-6801
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Zusammenfassung:This paper presents interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters. In fuzzy programming for multi-level linear programming problems, recently developed by Lai et al., since the fuzzy goals are determined for both an objective function and decision variables at the upper level, undesirable solutions are produced when these fuzzy goals are inconsistent. In order to overcome such problems, after eliminating the fuzzy goals for decision variables, interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters is presented. In our interactive method, after determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived efficiently by updating the satisfactory degrees of decision makers with considerations of overall satisfactory balance among all levels. Illustrative numerical examples for two-level and three-level linear programming problems are provided to demonstrate the feasibility of the proposed method.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(98)00130-4