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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 robert.john@nottingham.ac.uk

Graham Kendall



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.

Journal Article Type Article
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
APA6 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), doi:10.1080/03155986.2016.1240944
DOI https://doi.org/10.1080/03155986.2016.1240944
Keywords Fuzzy DEA; membership function; fuzzy multi-objective linear programming; possibility programming
Publisher URL http://www.tandfonline.com/doi/abs/10.1080/03155986.2016.1240944?journalCode=tinf20
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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