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

Surapati Pramanik; Indrani Maiti; Tarni Mandal

Research Article

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

by Surapati Pramanik, Indrani Maiti, Tarni Mandal

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 180 - Issue 45

Published: May 2018

Authors: Surapati Pramanik, Indrani Maiti, Tarni Mandal

10.5120/ijca2018917154

PDF

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 },
                        year    = { 2018 },
                        volume  = { 180 },
                        number  = { 45 },
                        pages   = { 22-29 },
                        doi     = { 10.5120/ijca2018917154 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2018
                        %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%T 
                        %J International Journal of Computer Applications
                        %V 180
                        %N 45
                        %P 22-29
                        %R 10.5120/ijca2018917154
                        %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

No index terms available.

Keywords

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