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

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