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Algorithm for Solving Fuzzy Multiobjective Linear Fractional Programming Problem by Additive Weighted Method

by Moumita Deb, P. K. De
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 80 - Number 2
Year of Publication: 2013
Authors: Moumita Deb, P. K. De
10.5120/13830-1428

Moumita Deb, P. K. De . Algorithm for Solving Fuzzy Multiobjective Linear Fractional Programming Problem by Additive Weighted Method. International Journal of Computer Applications. 80, 2 ( October 2013), 1-6. DOI=10.5120/13830-1428

@article{ 10.5120/13830-1428,
author = { Moumita Deb, P. K. De },
title = { Algorithm for Solving Fuzzy Multiobjective Linear Fractional Programming Problem by Additive Weighted Method },
journal = { International Journal of Computer Applications },
issue_date = { October 2013 },
volume = { 80 },
number = { 2 },
month = { October },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume80/number2/13830-1428/ },
doi = { 10.5120/13830-1428 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:53:28.378366+05:30
%A Moumita Deb
%A P. K. De
%T Algorithm for Solving Fuzzy Multiobjective Linear Fractional Programming Problem by Additive Weighted Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 80
%N 2
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper attention has been paid to the study of multiobjective linear fractional programming problem (MOLFPP) by using fuzzy set theoretic approach. In this approach, MOLFPP is transformed into multiobjective linear programming problem (MOLPP) by suitable transformation. In algorithm-I, MOLFPP is transformed into MOLPP by using fuzzy set theory and the pareto optimal solution of the transformed MOLPP is obtained by applying Zimmermann's min-operator model and simplex method. Further we have used additive weighted method to modify the above approach. Algorithm-II has been presented to find the pareto optimal solution of MOLFPP by applying additive weighted method. To demonstrate the applicability of the proposed approach, one numerical example is solved to find the pareto optimal solution by applying this two algorithms.

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Index Terms

Computer Science
Information Sciences

Keywords

Multiobjective linear fractional programming problem Minoperator model Additive weighted method Fuzzy linear programming Fuzzy numbers.

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