Applications of interval-valued fuzzy sub-hypernear-rings with respect to t-norms (t-conorms)

KAZANCI O., YAMAK S.

10th International Congress on Algebraic Hyperstructures and Applications, Brno, Çek Cumhuriyeti, 3 - 09 Eylül 2008, ss.173-189 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Basıldığı Şehir: Brno
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.173-189
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider a hypernear-ring R and introduce the concept of an interval-valued fuzzy sub-hypernear-ring with respect to t-norm T (t-conorm S). A necessary and sufficient condition for an interval-valued fuzzy subset to be an interval-valued fuzzy sub-hypernear-ring is given and its basic properties are discussed. Also, we consider the fundamental relation gamma* on a hypernear-ring R and prove a fundamental theorem concerning the near-ring R/gamma*.