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Interactive fuzzy programming for two-level linear fractional programming problems

delete2001-04-01
delete45
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Ichiro Nishizaki
DOI:10.1016/S0165-0114(99)00066-4delete
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Abstract

Abstract

En 中文
This paper presents interactive fuzzy programming for two-level linear fractional programming problems with the essentially cooperative decision makers. Tn 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. (C) 2001 Elsevier Science B.V. All rights reserved.
Keywords:
two-level linear fractional programming problem
fuzzy programming
fuzzy goals
interactive methods
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Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

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