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

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: Oct 14, 2016
• 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
• Contract Date: Sep 22, 2016