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Evaluating decision-making units under uncertainty using fuzzy multi-objective nonlinear programming


Zerafat Angiz, Madjid Langroudi and Mohd Nawawi, Mohd Kamal and Khalid, Ruzelan and Mustafa, Adli and Emrouznejad, Ali and John, Robert and Kendall, Graham (2017) Evaluating decision-making units under uncertainty using fuzzy multi-objective nonlinear programming. INFOR: Information Systems and Operational Research, 55 (1). pp. 1-15. ISSN 0315-5986

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Abstract

This paper proposes a new method to evaluate decision-making units (DMUs) under uncertainty using fuzzy data envelopment analysis (DEA).In the proposed multi-objective nonlinear programming methodology, both the objective functions and the constraints are considered fuzzy.This model is comprehensive in dealing with uncertainty, in the sense that coefficients of the decision variables in the objective functions and in the constraints, as well as the DMUs under assessment, are assumed to be fuzzy numbers with triangular membership functions. A comparison between the current fuzzy DEA models and the proposed method is illustrated by a numerical example.

Item Type: Article
Uncontrolled Keywords: Fuzzy DEA, membership function, fuzzy multi-objective linear programming, possibility programming
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Dr. Mohd Kamal Mohd Nawawi
Date Deposited: 16 Apr 2017 06:12
Last Modified: 16 Apr 2017 06:12
URI: http://repo.uum.edu.my/id/eprint/21583

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