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Multi-Objective Quadratic Programming Problem: A Priority based Fuzzy Goal Programming

by Surapati Pramanik, Partha Pratim Dey
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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

@article{ 10.5120/3140-4333,
author = { Surapati Pramanik, Partha Pratim Dey },
title = { Multi-Objective Quadratic Programming Problem: A Priority based Fuzzy Goal Programming },
journal = { International Journal of Computer Applications },
issue_date = { July 2011 },
volume = { 26 },
number = { 10 },
month = { July },
year = { 2011 },
issn = { 0975-8887 },
pages = { 30-35 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume26/number10/3140-4333/ },
doi = { 10.5120/3140-4333 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:12:26.014072+05:30
%A Surapati Pramanik
%A Partha Pratim Dey
%T Multi-Objective Quadratic Programming Problem: A Priority based Fuzzy Goal Programming
%J International Journal of Computer Applications
%@ 0975-8887
%V 26
%N 10
%P 30-35
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
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.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Goal programming Multi-objective quadratic programming Priority based fuzzy goal programming Quadratic programming

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