Interactive fuzzy programming for two-level linear fractional programming problems

This paper presents interactive fuzzy programming for two-level linear fractional programming problems with the essentially cooperative decision makers. In our interactive method, after determining the fuzzy goals of the decision makers at both levels, a satisfactory solution is efficiently derived...

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Vydané v:	Fuzzy sets and systems Ročník 119; číslo 1; s. 31 - 40
Hlavní autori:	Sakawa, Masatoshi, Nishizaki, Ichiro
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.04.2001
Predmet:	Fuzzy goals Fuzzy programming Interactive methods Two-level linear fractional programming problem Interactive methods Fuzzy goals Two-level linear fractional programming problem Fuzzy programming
ISSN:	0165-0114, 1872-6801
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Popis
Shrnutí:	This paper presents interactive fuzzy programming for two-level linear fractional programming problems with the essentially cooperative decision makers. In our interactive method, after determining the fuzzy goals of the decision makers at both levels, a satisfactory solution is efficiently derived by updating the satisfactory level of the decision maker at the upper level with considerations of overall satisfactory balance between both levels. In an interactive process, optimal solutions to the formulated programming problems are obtained by combined use of the bisection method and the phase one of linear programming and the variable transformation by Charnes and Cooper. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/S0165-0114(99)00066-4