Rough intuitionistic fuzzy sets in semigroups
نویسندگان
چکیده
In this paper, we discuss some basic properties of rough intuitionistic fuzzy set in semigroup. Intuitionistic fuzzy analogues of some results concerning rough semiprime (semiprimary) ideals in semigroup are obtained. 2010 AMS Classification: 03E72, 03F55, 06B10.
منابع مشابه
Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals
Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...
متن کاملRough intuitionistic fuzzy ideals in semigroups
In this paper basic notions of rough intuitionistic fuzzy set in semigroups are given and we discuss some of its basic properties. We introduce the notions of rough intuitionistic fuzzy left (right, two-sided, bi-, (1, 2)-) ideals in a semigroup and give some properties of such ideals.
متن کاملIntuitionistic Q-Fuzzy Prime Bi-∧-Ideals of ∧-Semigroups
After the introduction of fuzzy sets by Zadeh [20] in 1965, several researchers have been working on the generalization of the fuzzification. In 1986, Atanassov [2] introduced the notion of intuitionistic fuzzy sets. For more details on the intuitionistic fuzzy sets, we refer to [2-4]. Fuzzy sets are intuitionistic fuzzy sets but the converse is not necessarily true [18]. Kim and Jun [7, 8] int...
متن کاملRepresentation of Rough Sets Based on Intuitionistic Fuzzy Special Sets
Intuitionistic fuzzy special sets is a special case of intuitionistic fuzzy sets. In this paper, under the framework of information systems, the relationship between intuitionistic fuzzy special sets and rough sets is analyzed. Based on basic intuitionistic fuzzy special sets of information systems, intuitionistic fuzzy special σ-algebra are generated, and rough sets are embedded in the intuiti...
متن کاملCharacterizing -Semigroups by Intuitionistic Fuzzy Points
In this paper, we consider the intuitionistic fuzzy sets in a -semigroup and the corresponding sets of intuitionistic fuzzy points. We analyze some relations between the intuitionistic fuzzy -ideals and the sets of intuitionistic fuzzy points of these -ideals of a -semigroup S.
متن کامل