Priority based fuzzy goal programming technique to fractional fuzzy goals using dynamic programming

Animesh Biswas () and Shyamali Dewan
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Animesh Biswas: University of Kalyani
Shyamali Dewan: Bhairab Ganguly College

Fuzzy Information and Engineering, 2012, vol. 4, issue 2, 165-180

Abstract: Abstract This paper describes the use of preemptive priority based fuzzy goal programming method to fuzzy multiobjective fractional decision making problems under the framework of multistage dynamic programming. In the proposed approach, the membership functions for the defined objective goals with fuzzy aspiration levels are determined first without linearizing the fractional objectives which may have linear or nonlinear forms. Then the problem is solved recursively for achievement of the highest membership value (unity) by using priority based goal programming methodology at each decision stages and thereby identifying the optimal decision in the present decision making arena. A numerical example is solved to represent potentiality of the proposed approach.

Keywords: Goal programming; Fuzzy goal programming; Preemptive priority structures; Dynamic programming; Membership function (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0109-x

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