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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1-15
Number of pages15
Issue number1
Early online date14 Oct 2016
Publication statusPublished - 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


  • fuzzy DEA
  • fuzzy multiobjective linear programming
  • membership function
  • possibility programming


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