Gradation of being fuzzy function

Demirci M.

FUZZY SETS AND SYSTEMS, cilt.119, sa.3, ss.383-392, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 119 Sayı: 3
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0165-0114(99)00166-9
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.383-392
  • Anahtar Kelimeler: fuzzy relation, fuzzy function, fuzzy equality, degree of being fuzzy function (FREL)
  • Akdeniz Üniversitesi Adresli: Evet

Özet

For crisp sets X and Y, considering two fuzzy equalities Ex, Er on X and Y, respectively, the concept of fuzzy function and several types of it were studied in M. Demirci, Fuzzy Sets and Systems 106 (1999) 239-246. In this paper, for a fuzzy relation f on X x Y, considering the fuzzy equalities Ex on X and Er an Y the degree of f of being fuzzy function, being surjective, being injective and being bijective is defined. Then setting the connections between several types of degree of being fuzzy function and various types of fuzzy function the essential properties of these degrees are investigated. (C) 2001 Elsevier Science B.V. All rights reserved.