29804

An interactive satisficing approach for solving fuzzy multiobjective Linear optimization problems based on the Attainable Reference Point Method

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Last updated: 04 Jan 2025

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Abstract

Abstract In a fuzzy environment, Decision Maker (DM) generally gives all objectives their vague targets. DM permits the objectives less than or equal to (or more than or equal to) aspiration levels by predetermining the respective tolerances. In this research, an approach to the case of the fuzzy multiple objectives linear programming problems with fuzzy goals in objective functions and constraints is described. This approach is associated with modifying the compromise model by reconstructing the membership functions by changing tolerances of the objectives using the principle of the interactive Attainable Reference Point Method to guarantee the optimization problem feasibility. To demonstrate the effectiveness of the optimization approach proposed here a numerical example is solved.

DOI

10.21608/icmep.2010.29804

Authors

First Name

Taghreed

Last Name

Hassan

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First Name

A.

Last Name

Mousa

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A.

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Volume

5

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-5)

Related Issue

5195

Issue Date

2010-05-01

Receive Date

2019-04-08

Publish Date

2010-05-01

Page Start

1

Page End

15

Print ISSN

2636-431X

Online ISSN

2636-4328

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https://icmep.journals.ekb.eg/article_29804.html

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https://icmep.journals.ekb.eg/service?article_code=29804

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Original Article

Type Code

830

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Publication Title

The International Conference on Mathematics and Engineering Physics

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https://icmep.journals.ekb.eg/

MainTitle

An interactive satisficing approach for solving fuzzy multiobjective Linear optimization problems based on the Attainable Reference Point Method

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Article

Created At

22 Jan 2023