solving fuzzy multi objective assignment problem: an extension principle based approach in fuzzy dea

The aim of this paper is to study a multiple objective assignment problem(moap) with fuzzy parameters in the objective functions. we develop a procedurebased on fuzzy data envelopment analysis (dea) to solve the fuzzy moap. to do this,two fuzzy dea models are formulated to convert the fuzzy moap under considerationinto a single objective interval assignment problem by adopting the concept of relativeefficiency for each fuzzy possible assignment. based on the extension principle, a pairof mathematical programs is constructed from each resulting fuzzy dea model tocalculate the lower and upper bounds of each fuzzy unit assignment at given possibilitylevel. the mean of two obtained efficiency intervals is considered as the efficiencyinterval for each fuzzy possible assignment. finally, a procedure is adopted for solvingthe resulting single objective interval assignment problem.