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

Zerafat Angiz, M. and Nawawi, M.K.M. and Khalid, R. and Mustafa, A. and Emrouznejad, A. and John, Robert and Kendall, Graham (2016) Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming. INFOR: Information Systems and Operational Research . ISSN 1916-0615

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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
Keywords: Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming
Schools/Departments: University of Nottingham, Malaysia > Faculty of Science > School of Computer Science
University of Nottingham, UK > Faculty of Science > School of Computer Science
Identification Number: https://doi.org/10.1080/03155986.2016.1240944
Depositing User: John, Professor Robert
Date Deposited: 22 Sep 2016 12:23
Last Modified: 25 Nov 2016 13:58
URI: http://eprints.nottingham.ac.uk/id/eprint/37045

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