ON n-ARY HYPERGROUPS AND FUZZY n-ARY HOMOMORPHISM

KAZANCI O., YAMAK S., Davvaz B.

IRANIAN JOURNAL OF FUZZY SYSTEMS, cilt.8, sa.1, ss.65-76, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2011
  • Dergi Adı: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.65-76
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The aim of this paper is to introduce the notion of fuzzy homomorphism and fuzzy isomorphism between two n-ary hypergroups and to extend the fuzzy results of fundamental equivalence relations to n-ary hypergroups. We study some of their properties and prove the decomposition theorems for fuzzy homomorphism and fuzzy isomorphism.