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An alternative formulation for the fuzzy assignment problem

Author

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  • A Emrouznejad

    (Aston University, Birmingham, UK)

  • M Zerafat Angiz L

    (Universiti Sains Malaysia, Penang, Malaysia)

  • W Ho

    (Aston University, Birmingham, UK)

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.

Suggested Citation

  • A Emrouznejad & M Zerafat Angiz L & W Ho, 2012. "An alternative formulation for the fuzzy assignment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 59-63, January.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:1:p:59-63
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    Cited by:

    1. Monroy, L. & Hinojosa, M.A. & Mármol, A.M. & Fernández, F.R., 2013. "Set-valued cooperative games with fuzzy payoffs. The fuzzy assignment game," European Journal of Operational Research, Elsevier, vol. 225(1), pages 85-90.

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