Normal fuzzy hyperideals in hypernear-rings
NEURAL COMPUTING & APPLICATIONS, vol.20, no.1, pp.25-30, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 20 Issue: 1
- Publication Date: 2011
- Doi Number: 10.1007/s00521-010-0459-4
- Journal Name: NEURAL COMPUTING & APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.25-30
- Karadeniz Technical University Affiliated: Yes
Abstract
Applying the concept of fuzzy sets to hypernear-rings, Davvaz introduced the notion of a fuzzy hyperideal as early as 1999, and it has been studied by several authors. In this paper, we introduce the notion of fuzzy hyperideals in hypernear-rings and investigate some related properties. Also, we characterize maximal fuzzy hyperideals and show that every maximal fuzzy hyperideal of a hypernear-ring is completely normal.