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- Title
CHARACTERIZATIONS OF H<sub>v</sub> Γ-SEMIGROUPS THROUGH INTUITIONISTIC FUZZY H<sub>v</sub> -IDEALS.
- Authors
Naka, Krisanthi
- Abstract
As a generalization of fuzzy sets, the notion of intuitionistic fuzzy sets was introduced by Atanassov [6], and applications of intuitionistic fuzzy concepts have already been done by Atanassov and many others in algebra, topological space, knowledge engineering, natural language, and neural network etc. The concept of hyperstructure first was introduced by Marty [33]. Vougiouklis [43], in the fourth AHA congress (1990), introduced the notion of Hv-structures. Recently, well known authors such as Davvaz, Dudek, Jun, Zhan, Cristea etc. have studied and discussed the intuitionistic fuzzification of different kinds of hyperstructures. The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we deal with Hv- Hv- Γsemigroups which is a generalization of Hv-Γsemigroups and Hv-Γsemigroups. Using Atanassov idea, we apply the concept of intuitionistic fuzzy sets to Hv- Hv-Γsemigroups initiating this kind of study. We introduce the notion of an intuitionistic fuzzy Hv-ideal of an Hv- Hv-semigroup and different properties and characterizations of them are investigated and obtained extending some results obtained in Hv-rings. Also some natural equivalence relations on the set of all intuitionistic fuzzy Hv-ideals of an Hv- Hv-semigroup are investigated.
- Subjects
FUZZY logic; NATURAL languages; NEURAL circuitry; EQUIVALENCE relations (Set theory); TOPOLOGICAL spaces
- Publication
Knowledge: International Journal, 2019, Vol 35, Issue 3, p993
- ISSN
2545-4439
- Publication type
Article