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A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters

by Surapati Pramanik, Indrani Maiti, Tarni Mandal
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 180 - Number 45
Year of Publication: 2018
Authors: Surapati Pramanik, Indrani Maiti, Tarni Mandal
10.5120/ijca2018917154

Surapati Pramanik, Indrani Maiti, Tarni Mandal . A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters. International Journal of Computer Applications. 180, 45 ( May 2018), 22-29. DOI=10.5120/ijca2018917154

@article{ 10.5120/ijca2018917154,
author = { Surapati Pramanik, Indrani Maiti, Tarni Mandal },
title = { A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters },
journal = { International Journal of Computer Applications },
issue_date = { May 2018 },
volume = { 180 },
number = { 45 },
month = { May },
year = { 2018 },
issn = { 0975-8887 },
pages = { 22-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume180/number45/29447-2018917154/ },
doi = { 10.5120/ijca2018917154 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:03:40.981001+05:30
%A Surapati Pramanik
%A Indrani Maiti
%A Tarni Mandal
%T A Taylor Series based Fuzzy Mathematical Approach for Multi Objective Linear Fractional Programming Problem with Fuzzy Parameters
%J International Journal of Computer Applications
%@ 0975-8887
%V 180
%N 45
%P 22-29
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This article presents an approach to acquire the solution of multi-objective linear fractional programming problems where the parameters are assumed to be triangular fuzzy numbers. This is done through a fuzzy mathematical programming perspective based on an approximation method using Taylor series. The problem is first formulated into an equivalent deterministic form using the concept of α-cuts. The associated membership function of each objective function is formulated using the individual optimal solution and is then converted into a linear function by applying the first order Taylor series. The multi-objective linear fractional programming problem then gets reduced to a linear programming problem by applying fuzzy mathematical programming. To illustrate the computational simplicity and applicability of the proposed approach, a numerical example is solved and the results are compared with existing methods.

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Index Terms

Computer Science
Information Sciences

Keywords

Multi-objective linear fractional programming problem fuzzy mathematical programming Taylor series triangular fuzzy number α-cut

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