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Multi-Objective Quadratic Programming Problem: A Priority based Fuzzy Goal Programming
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 26 - Number 10 |
| Year of Publication: 2011 |
| Authors: Surapati Pramanik, Partha Pratim Dey |
10.5120/3140-4333
|
Surapati Pramanik, Partha Pratim Dey . Multi-Objective Quadratic Programming Problem: A Priority based Fuzzy Goal Programming. International Journal of Computer Applications. 26, 10 ( July 2011), 30-35. DOI=10.5120/3140-4333
Abstract
This paper presents priority based fuzzy goal programming approach to multi-objective quadratic programming problem. In the proposed approach, we construct the quadratic membership functions by determining the individual best solution of the objective functions subject to the system constraints. The quadratic membership functions are then transformed into equivalent linear membership functions at the individual best solution point by first order Taylor series approximation. Then fuzzy goal programming approach is used for achieving highest degree of each of the membership goals by minimizing negative deviational variables. Then, sensitivity analysis with the variations of the priority structure is performed to identify the most appropriate priority structure in the decision-making context by using distance function. A numerical example is solved in order to show the efficiency of the proposed approach.
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