Fuzzy ideals and semiprime fuzzy ideals in semigroups
INFORMATION SCIENCES, cilt.179, sa.20, ss.3720-3731, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 179 Sayı: 20
- Basım Tarihi: 2009
- Doi Numarası: 10.1016/j.ins.2009.06.026
- Dergi Adı: INFORMATION SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3720-3731
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we investigate relationships between different definitions of fuzzy ideals of a fuzzy semigroup. The equivalence of different definitions of fuzzy ideals of a fuzzy semigroup is obtained. We show that the lattice of all phi-fuzzy ideals of a fuzzy semigroup X is a complete sublattice of the lattice of all fuzzy sets in X when phi is an infinitely V-distributive weak pseudo-t-norm on L. A definition of phi-semiprime fuzzy ideal of a fuzzy semigroup is given. A description of all phi-semigroups, in which every phi-fuzzy ideal is phi-semiprime, is obtained. (C) 2009 Elsevier Inc. All rights reserved.