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

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

Surapati Pramanik, Indrani Maiti and 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):22-29, May 2018. BibTeX

@article{10.5120/ijca2018917154,
	author = {Surapati Pramanik and Indrani Maiti and 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 = {8},
	url = {http://www.ijcaonline.org/archives/volume180/number45/29447-2018917154},
	doi = {10.5120/ijca2018917154},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, 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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Keywords

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