Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

• Autorzy: Qiumei Wang , Jianming Zhan
• Języki publikacji: EN

Abstrakty

EN

In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals, rough prime ideals, rough fuzzy semigroups, rough fuzzy ideals and rough fuzzy prime ideals according to the definitions of rough sets and rough fuzzy sets. Furthermore, we shall consider the relationships among semigroups and rough semigroups, fuzzy semigroups and rough fuzzy semigroups, and some relative properties are also discussed.

Słowa kluczowe

EN

Fuzzy ideal; t-level set; Rough semigroup; Rough fuzzy semigroup; Rough (prime) ideal; Rough fuzzy (prime) ideal

Kategorie tematyczne

• 16Y99: None of the above, but in this section
• 20N20: Hypergroups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1114-1121

Daty

wydano

2016-01-01

otrzymano

2016-09-02

zaakceptowano

2016-11-23

online

2016-12-30

Twórcy

autor

Qiumei Wang

• Department of Mathematics, Hubei University for Nationalities, Enshi, 445000,

autor

Jianming Zhan

• Department of Mathematics, Hubei University for Nationalities, Enshi, 445000,

Identyfikatory

DOI

10.1515/math-2016-0102