FUZZY METHOD FOR SOLVING MULTI-OBJECTIVE ASSIGNMENT PROBLEM WITH INTERVAL COST

Kagade K.L.¹*, Bajaj V.H.²*
¹Department of Statistics, Dr. B. A. M. University, Aurangabad, MS, 431004, India
²Department of Statistics, Dr. B. A. M. University, Aurangabad, MS, 431004, India
* Corresponding Author : vhbajaj@gmail.com

Received : -     Accepted : -     Published : 15-06-2010
Volume : 1     Issue : 1       Pages : 1 - 9
J Stat Math 1.1 (2010):1-9

This paper concentrates on the solution procedure of the Multi-Objective Assignment Problem (MOAP) where the cost coefficients of the objective functions have been expressed as interval values by the decision maker. This problem has been transformed into a classical MOAP where the interval objective function is minimized. The order relations that represent the decision maker’s preference between interval profits have been defined by the right limit, left limit, centre and half-width of an interval. Finally, the equivalent transformed problem has been solved by fuzzy programming techniques. Numerical example has been provided to illustrate the solution procedure.

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