Conducting fuzzy division by using linear programming

Authors:
Murat Alper Basaran;Cagdas Hakan Aladag;Cem Kadilar
Affiliations:
Department of Mathematics, Nigde University, Nigde, Turkey;Department of Statistics, Hacettepe University, Beytepe, Ankara, Turkey;Department of Statistics, Hacettepe University, Beytepe, Ankara, Turkey
Venue:
WSEAS Transactions on Information Science and Applications
Year:
2008

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Abstract

Some approximation methods have been proposed for fuzzy multiplication and division in the literature. Instead of doing arithmetic operations using fuzzy membership functions for fuzzy numbers, parameterized representation of fuzzy numbers have been used in arithmetic operations. The most applied parameterized fuzzy numbers used in many of the research papers are symmetric and asymmetric triangular and trapezoidal fuzzy numbers. In this study, we propose a new approximation method based on linear programming for fuzzy division. In order to show the applicability of the proposed method, some examples are solved using the proposed method and the results are compared with those generated by other methods in the literature. The proposed method has produced better results than those generated by the others.