Conducting fuzzy division by using linear programming

Basaran M. A., ALADAĞ Ç. H., KADILAR C.

WSEAS Transactions on Information Science and Applications, vol.5, no.6, pp.923-928, 2008 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 6
  • Publication Date: 2008
  • Journal Name: WSEAS Transactions on Information Science and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.923-928
  • Keywords: Approximation method, Fuzzy arithmetic, Fuzzy division, Linear programming, Triangular fuzzy number
  • Hacettepe University Affiliated: Yes


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 oti 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.