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American Journal of Operations Research
Article . 2016 . Peer-reviewed
License: CC BY
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American Journal of Operations Research
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License: CC BY
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https://dx.doi.org/10.4236/ajo...
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A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016Publisher:Scientific Research Publishing, Inc.Journal:American Journal of Operations Research, volume 6, pages 8-16 (issn: 2160-8830, eissn: 2160-8849, Copyright policy )
Authors: Mohamed Abd El-Hady Kassem; Ahmad M. K. Tarabia; Noha Mohamed El-Badry;

doi: 10.4236/ajor.2016.61002

A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions

Abstract

This paper presents a modified method to solve multi-objective nonlinear programming problems with fuzzy parameters in its objective functions and these fuzzy parameters are characterized by fuzzy numbers. The modified method is based on normalized trade-off weights. The obtained stability set corresponding to α-Pareto optimal solution, using our method, is investigated. Moreover, an algorithm for obtaining any subset of the parametric space which has the same corresponding α-Pareto optimal solution is presented. Finally, a numerical example to illustrate our method is also given.

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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!
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