Generalized fuzzy n-ary subpolygroups endowed with interval valued membership functions

Davvaz B., KAZANCI O., YAMAK S.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.20, ss.159-168, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3233/ifs-2009-0424
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.159-168
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Recently, fuzzy n-ary polygroups were introduced and analyzed by Davvaz, Corsini and Leoreanu-Fotea. Fuzzy n-ary polygroups are suitable generalizations of n-ary polygroups and a special case of fuzzy n-ary hypergroups. The aim of this paper is to introduce the notion of an interval-valued fuzzy n-ary subpolygroup of an n-ary subpolygroup and to extend the fuzzy n-ary subpolygroup to interval-valued (is an element of, is an element of boolean OR q)-fuzzy n-ary subpolygroup. We also consider the concept of implication-based interval-valued fuzzy n-ary sub-polygroup in an n-ary polygroup. in particular. the implication operators in ukasiewicz pound system of continuous-valued logic are discussed.