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

Zerafat Angiz, M.; Nawawi, M.K.M.; Khalid, R.; Mustafa, A.; Emrouznejad, A.; John, Robert; Kendall, Graham

Authors

M. Zerafat Angiz

M.K.M. Nawawi

R. Khalid

A. Mustafa

A. Emrouznejad

Robert John

GRAHAM KENDALL GRAHAM.KENDALL@NOTTINGHAM.AC.UK
Professor of Computer Science



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.

Citation

Zerafat Angiz, M., Nawawi, M., Khalid, R., Mustafa, A., Emrouznejad, A., John, R., & Kendall, G. (in press). Evaluating decision making units under uncertainty using fuzzy multi-objective nonlinear programming. Information Systems and Operational Research, 55(1), https://doi.org/10.1080/03155986.2016.1240944

Journal Article Type Article
Acceptance Date Sep 22, 2016
Online Publication Date Oct 14, 2016
Deposit Date Sep 22, 2016
Publicly Available Date Mar 29, 2024
Journal INFOR: Information Systems and Operational Research
Print ISSN 0315-5986
Electronic ISSN 1916-0615
Publisher University of Toronto Press
Peer Reviewed Peer Reviewed
Volume 55
Issue 1
DOI https://doi.org/10.1080/03155986.2016.1240944
Keywords Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming
Public URL https://nottingham-repository.worktribe.com/output/823562
Publisher URL http://www.tandfonline.com/doi/abs/10.1080/03155986.2016.1240944?journalCode=tinf20

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