Journal Article

·2019 OPEN ACCESS

Q-Taylor series method for solving fuzzy multiobjective linear fractional programming problem

Adem C. Çevikel YTU

European Journal of Science and Technology

Abstract

In this work, we present a q -Taylor series method for fuzzy multiobjective linear fractional programming problems (FMOLFPPs). In q -calculus, q -Taylor series is a q -series expansion of a function with respect to q -derivatives. In the proposed approach, membership functions are defined to be piecewise linear. Membership functions associated with each objective of fuzy multiobjective linear fractional programming problem transformed by using q -Taylor series are unified. Thus, the problem is reduced to a single objective. To show the efficiency of the q -Taylor series method, we applied the method to some problems.

Keywords

Taylor series Mathematics Series (stratigraphy) Taylor's theorem Piecewise linear function Linear-fractional programming Fractional programming Nonlinear programming Applied mathematics Mathematical optimization Linear programming Fuzzy logic Series expansion Piecewise Nonlinear system Computer science Mathematical analysis

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences
Optimization and Variational Analysis ·Computational Theory and Mathematics ·Physical Sciences
Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences

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