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# Multi-objective linear plus linear fractional programming problem based on Taylor series approximation

10.5120/3966-5589 |

Surapati Pramanik, Partha Pratim Dey and Bibhas C Giri. Article: Multi-Objective Linear Plus Linear Fractional Programming Problem based on Taylor Series Approximation. *International Journal of Computer Applications* 32(8):61-68, October 2011. Full text available. BibTeX

@article{key:article, author = {Surapati Pramanik and Partha Pratim Dey and Bibhas C. Giri}, title = {Article: Multi-Objective Linear Plus Linear Fractional Programming Problem based on Taylor Series Approximation}, journal = {International Journal of Computer Applications}, year = {2011}, volume = {32}, number = {8}, pages = {61-68}, month = {October}, note = {Full text available} }

### Abstract

This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fractional programming problem based on Taylor series approximation. In the model formulation of the problem, we first construct the membership functions by determining individual optimal solutions of the objective functions subject to the system constraints. The membership functions are then transformed into equivalent linear membership functions by 1st order Taylor series approximation. Then fuzzy goal programming models are formulated in order to solve the problem by minimizing negative deviational variables. Euclidean distance function is then used to obtain compromise optimal solution. To demonstrate the efficiency and feasibility of the proposed approach, two numerical examples are solved and compared with existing methods in the literature.

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