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Article . 1994
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On some notions of fuzzy multiobjective nonlinear programming problems with general parameters in the objective functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994Publisher:International Fuzzy Mathematics Institute, Los Angeles, CA
Authors: Ammar, Elsaid Ebrahim;

On some notions of fuzzy multiobjective nonlinear programming problems with general parameters in the objective functions

Abstract

Fuzzy decision-making is one of the important branches of fuzzy set theory, proposed firstly by Bellman and Zadeh in 1970, and fuzzy mathematical programming is one of the effective methods of fuzzy decision-making, introduced firstly by Zimmermann in 1978. The basic theory of fuzzy decision-making is described in detail by the reviewer in his new book `Fuzzy Sets and Fuzzy Decision-Making', CRC Press (1995). The author has contributed to fuzzy nonlinear programming since 1990 and in this paper some relationships between the concept of efficient and weak-efficient solutions of multiobjective convex nonlinear programming problems are considered, especially the relation between the fuzzy solution of the general fuzzy problem and the fuzzy optimal point for the special fuzzy problem.

Keywords

weak-efficient solutions, multiobjective convex nonlinear programming problems, fuzzy decision-making, Fuzzy and other nonstochastic uncertainty mathematical programming

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selected citations
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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!
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