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Electronics and Communications in Japan (Part III Fundamental Electronic Science)
Article . 2000 . Peer-reviewed
License: Wiley TDM
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Fuzzy Sets and Systems
Article . 2001 . Peer-reviewed
License: Elsevier TDM
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Interactive fuzzy programming for two-level 0-1 programming problems with fuzzy parameters through genetic algorithms

Interactive fuzzy programming for multi-level 0-1 programming problems with fuzzy parameters through genetic algorithms
Authors: Masatoshi Sakawa; Ichiro Nishizaki; Masatoshi Hitaka;

Interactive fuzzy programming for two-level 0-1 programming problems with fuzzy parameters through genetic algorithms

Abstract

The authors describe an interactive fuzzy programming for multi-level 0-1-programming problems, In these problems each of \(t\) decision makers has his own linear objective function, which depends on \(t\) (0-1)-vectors. The set of feasible solutions is described by a system of linear inequalities and is common for all decision makers. Each decision maker tries to optimize his own objective function, but is prepared to cooperate with the others. The authors suggest an interactive method, which makes possible, after determining fuzzy goals of the decision makers, to find a satisfactory compromise solution under the assumption that each decision maker takes into account also the interests of the others. The method can be applied especially to hierarchical decision problems with cooperative participants. The method is illustrated by a numerical example with three decision makers.

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Keywords

Management decision making, including multiple objectives, Fuzzy and other nonstochastic uncertainty mathematical programming, interactive method, Decision theory, multi-level 0-1-programming, Multi-objective and goal programming, interactive fuzzy programming, fuzzy goals

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Average
Top 10%
Average
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