Journal of the Operational Research Society

, Volume 63, Issue 1, pp 59–63 | Cite as

An alternative formulation for the fuzzy assignment problem

General Paper

Abstract

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.

Keywords

assignment problem fuzzy data data envelopment analysis 

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Copyright information

© Operational Research Society 2011

Authors and Affiliations

  1. 1.Aston UniversityBirminghamUK
  2. 2.Universiti Sains MalaysiaPenangMalaysia

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