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A Priority based Fuzzy Goal Programming to Multi-Objective Linear Fractional Programming Problem

by Surapati Pramanik, Partha Pratim Dey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 10
Year of Publication: 2011
Authors: Surapati Pramanik, Partha Pratim Dey
10.5120/3679-5180

Surapati Pramanik, Partha Pratim Dey . A Priority based Fuzzy Goal Programming to Multi-Objective Linear Fractional Programming Problem. International Journal of Computer Applications. 30, 10 ( September 2011), 1-6. DOI=10.5120/3679-5180

@article{ 10.5120/3679-5180,
author = { Surapati Pramanik, Partha Pratim Dey },
title = { A Priority based Fuzzy Goal Programming to Multi-Objective Linear Fractional Programming Problem },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 10 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number10/3679-5180/ },
doi = { 10.5120/3679-5180 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:41.630798+05:30
%A Surapati Pramanik
%A Partha Pratim Dey
%T A Priority based Fuzzy Goal Programming to Multi-Objective Linear Fractional Programming Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 10
%P 1-6
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with priority based fuzzy goal programming approach for solving multi-objective linear fractional programming problem. In the model formulation of the problem, we construct the fractional membership functions by determining the optimal solution of the objective functions subject to the system constraints. The fractional membership functions are then transformed into equivalent linear membership functions at the individual best solution point by first order Taylor series. In the solution process, fuzzy goal programming approach is used to solve problem by minimizing negative deviational variables. Then, sensitivity analysis is performed with the change of priorities of the fuzzy goals. Euclidean distance function is used to identify the appropriate priority structure in the decision-making situation. The efficiency of the proposed approach is illustrated by solving a numerical example.

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Index Terms

Computer Science
Information Sciences

Keywords

Fractional programming Goal programming Multi-objective linear fractional programming Priority based fuzzy goal programming

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