- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 1
- Soft Rings Related to Fuzzy Set Theory ABSTRACT | FULL TEXT
Soft Rings Related to Fuzzy Set Theory ABSTRACT | FULL TEXT
Authors : Xianping Liu, Dajing Xiang, K. P. Shum, Jianming Zhan
Pages : 51-66
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Publication Date : 2013-01-01
Article Type : Other
Abstract :We deal with soft rings based on some fuzzy sets, in particular, byusing the so called ∈ −soft sets and q-soft sets. Some characterizationtheorems of soft rings defined on soft sets are given and soft regularrings are hence characterized by special soft sets.Keywords : Soft rings, Idealistic soft rings, Bi-idealistic soft rings, Quasi-idealistic softrings, (∈, ∈ ∨q)-fuzzy subrings, (∈, ∈ ∨ q)-fuzzy subrings, regular rings, soft regularrings.