A mixed integer programming approach to a square fully fuzzy linear equation

AHLATCIOĞLU M., Albayrak I., Kocken H. G., Ozkok B.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.31, sa.3, ss.2009-2015, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3233/jifs-16227
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2009-2015
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, a new method is proposed to find the feasible (strong) fuzzy solution of a square (n x n) fully fuzzy linear equation system (FFLS) with triangular fuzzy numbers. The main purpose of the proposed method is to remove all the sign restrictions on the parameters and variables. Our method, which is based on the multiplication of two arbitrary triangular fuzzy numbers, converts the FFLS to a mixed integer programming problem. The method is illustrated with numerical examples.