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A Fuzzy-Goal Programming Approach For Bilevel Linear Multiple Objective Decision Making Problem  

Arora, S.R. (Department of Mathematics, Hans Raj College University of Delhi)
Gupta, Ritu (Department of Mathematics, University of Delhi)
Publication Information
Management Science and Financial Engineering / v.13, no.2, 2007 , pp. 1-27 More about this Journal
Abstract
This paper presents a fuzzy-goal programming(FGP) approach for Bi-Level Linear Multiple Objective Decision Making(BLL-MODM) problem in a large hierarchical decision making and planning organization. The proposed approach combines the attractive features of both fuzzy set theory and goal programming(GP) for MODM problem. The GP problem has been developed by fixing the weights and aspiration levels for generating pareto-optimal(satisfactory) solution at each level for BLL-MODM problem. The higher level decision maker(HLDM) provides the preferred values of decision vector under his control and bounds of his objective function to direct the lower level decision maker(LLDM) to search for his solution in the right direction. Illustrative numerical example is provided to demonstrate the proposed approach.
Keywords
Bi-level Programming; Multiple Objective Decision Making; Fuzzy Set Theory; Goal Programming; Pareto-Optimal Solution; Aspiration Levels; Membership function;
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