Applications of interval-valued fuzzy sub-hypernear-rings with respect to t-norms (t-conorms)
10th International Congress on Algebraic Hyperstructures and Applications, Brno, Çek Cumhuriyeti, 3 - 09 Eylül 2008, ss.173-189, (Tam Metin Bildiri)
- 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*.