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

Madjid Langroudi Zerafat Angiz; Mohd Kamal Mohd Nawawi; Ruzelan Khalid; Adli Mustafa; Ali Emrouznejad; Robert John; Graham Kendall

doi:10.1080/03155986.2016.1240944

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

Madjid Langroudi Zerafat Angiz, Mohd Kamal Mohd Nawawi^*, Ruzelan Khalid, Adli Mustafa, Ali Emrouznejad, Robert John, Graham Kendall

^*Corresponding author for this work

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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. The 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.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	INFOR
Volume	55
Issue number	1
Early online date	14 Oct 2016
DOIs	https://doi.org/10.1080/03155986.2016.1240944
Publication status	Published - Jan 2017

Bibliographical note

This is an Accepted Manuscript of an article published by Taylor & Francis in INFOR on 14/10/16, available online: http://www.tandfonline.com/10.1080/03155986.2016.1240944

Keywords

fuzzy DEA
fuzzy multiobjective linear programming
membership function
possibility programming

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10.1080/03155986.2016.1240944

Decision making units under uncertainty using fuzzy multi-objective nonlinear programming
This is an Accepted Manuscript of an article published by Taylor & Francis in INFOR on 14/10/16, available online: http://www.tandfonline.com/10.1080/03155986.2016.1240944
Accepted author manuscript, 655 KB

Cite this

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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. The 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.",

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AU - Mustafa, Adli

AU - Emrouznejad, Ali

AU - John, Robert

AU - Kendall, Graham

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

Abstract

Bibliographical note

Keywords

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