An alternative formulation for the fuzzy assignment problem

A. Emrouznejad, M. Zerafat Angiz L., W. Ho

Research output: Contribution to journalArticlepeer-review


The existing assignment problems for assigning n jobs to n individuals are limited to the considerations of cost or profit measured as crisp. However, in many real applications, costs are not deterministic numbers. This paper develops a procedure based on Data Envelopment Analysis method to solve the assignment problems with fuzzy costs or fuzzy profits for each possible assignment. It aims to obtain the points with maximum membership values for the fuzzy parameters while maximizing the profit or minimizing the assignment cost. In this method, a discrete approach is presented to rank the fuzzy numbers first. Then, corresponding to each fuzzy number, we introduce a crisp number using the efficiency concept. A numerical example is used to illustrate the usefulness of this new method. © 2012 Operational Research Society Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)59-63
Number of pages5
JournalJournal of the Operational Research Society
Issue number1
Early online date6 Apr 2011
Publication statusPublished - Jan 2012


  • assignment problem
  • fuzzy data
  • data envelopment analysis


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