Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals
نویسندگان
چکیده
منابع مشابه
ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.
متن کاملCharacterization of Γ-semigroups in terms of anti fuzzy ideals
In this paper the concept of anti fuzzy ideals of a Γsemigroup has been introduced and some important characterizations have been obtained. Among other results a regular Γ-semigroup has been characterized in terms of anti fuzzy ideals. Finally we show that the set of all the anti fuzzy ideals of a Γ-semigroup forms a semilattice. 2010 AMS Classification: 20M99, 08A72, 20M12
متن کاملIntuitionistic Fuzzy Bi-ideals of Ordered Semigroups
The intuitionistic fuzzification of the notion of a bi-ideal in ordered semigroups is considered. In terms of intuitionistic fuzzy set, conditions for an ordered semigroup to be completely regular is provided. Characterizations of intuitionistic fuzzy bi-ideals in ordered semigroups are given. Using a collection of bi-ideals with additional conditions, an intuitionistic fuzzy bi-ideal is constr...
متن کاملFuzzy generalized Bi-ideals in semigroups
In this paper we introduce the concept of fuzzy generalized bi-ideal of a Γsemigroup, which is an extension of the concept of a fuzzy bi-ideal of a Γsemigroup and characterize regular Γ-semigroups in terms of fuzzy generalized bi-ideals. AMS Mathematics Subject Classification(2000): 08A72, 20M12, 3F55
متن کاملOn Fuzzy Bi-ideals in Semigroups
We characterize the fuzzy bi-ideal generated by a fuzzy subset in a semigroup and the fuzzy bi-ideal generated by a fuzzy subset A such that A ⊆ A2 in a semigroup with an identity element. Our work generalizes the characterization of fuzzy bi-ideals by Mo and Wang ([8]).
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ژورنال
عنوان ژورنال: Fuzzy Information and Engineering
سال: 2015
ISSN: 1616-8658,1616-8666
DOI: 10.1016/j.fiae.2015.05.003