Conducting fuzzy division by using linear programming


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

WSEAS Transactions on Information Science and Applications, cilt.5, sa.6, ss.923-928, 2008 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 6
  • Basım Tarihi: 2008
  • Dergi Adı: WSEAS Transactions on Information Science and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.923-928
  • Anahtar Kelimeler: Approximation method, Fuzzy arithmetic, Fuzzy division, Linear programming, Triangular fuzzy number
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.