Flexible Fuzzy Revised Multi-Choice Goal Programming problem

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Ramzannia Keshteli G.A.; NASSERI S.H.

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Journal: Journal of Operational Research in its Applications Year:2020 | Volume:17 | Issue:1 (64) Page(s): 139-155

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Title

Flexible Fuzzy Revised Multi-Choice Goal Programming problem

Author(s)

Ramzannia Keshteli G.A. | NASSERI S.H. | Issue Writer Certificate

Keywords

Multi-Objective Linear ProgrammingQ1

Multi-Choice Goal Linear ProgrammingQ1

Multi-Parametric Linear Goal ProgrammingQ1

Flexible Fuzzy GoalsQ1

Aspiration LevelQ1

Abstract

Goal linear programming(GP) is one of the important techniques for solving Multi-Objective Linear Programming (MOLP) problems so that for every objective Aspiration Level is considered by the decision maker. A special kind of GP problem is the multi-choice goal programming, where some Aspiration Level is considered for the targets. The multi-choice goal programming the first time was presented by chang. T. C in the year 2007. Then in 2008 change expired another kind of multi choice goal programming entitled, the revised multi-choice goal programming where its goal aspersion levels are a closed interval. The first paper of the fuzzy multi-choice goal programming was introduced by the Bankian et al. in the year 2012, which uses triangular fuzzy number as the Aspiration Level. In this paper, we are going to present two new models of the flexible fuzzy multi-choice goal programming: 1) revised multi-choice goal programming with flexible fuzzy constraints and 2) revised multi-choice goal programming with flexible fuzzy objective functions. For both models, we propose a new approach for solving them based on a Multi-Parametric Linear Goal Programming and minimum degree membership technique. Finally, we illustrate our approach by solving some numerical examples.

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APA: Copy

Ramzannia Keshteli, G.A., & NASSERI, S.H.. (2020). Flexible Fuzzy Revised Multi-Choice Goal Programming problem. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 17(1 (64) ), 139-155. SID. https://sid.ir/paper/164691/en

Vancouver: Copy

Ramzannia Keshteli G.A., NASSERI S.H.. Flexible Fuzzy Revised Multi-Choice Goal Programming problem. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2020;17(1 (64) ):139-155. Available from: https://sid.ir/paper/164691/en

IEEE: Copy

G.A. Ramzannia Keshteli, and S.H. NASSERI, “Flexible Fuzzy Revised Multi-Choice Goal Programming problem,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 17, no. 1 (64) , pp. 139–155, 2020, [Online]. Available: https://sid.ir/paper/164691/en

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