Open AccessRoughness of (∈*, ∈* ∨ q*)-Fuzzy Ideals in Semigroup
Author(s) -
V. S. Subha,
N. Thillaigovindan,
V. Chinnadurai,
D. Palanisamy
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012106
Subject(s) - mathematics , ideal (ethics) , fuzzy logic , generalization , semigroup , rough set , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , computer science , artificial intelligence , philosophy , epistemology
In this paper, we introduce the notions of intervalvalued rough ( ∈ * , ∈ * ∨ q * )-fuzzy subsemigroup, intervalvalued rough ( ∈ * , ∈ * ∨ q * )-fuzzy ideals, intervalvalued rough ( ∈ * , ∈ * ∨ q * )-fuzzy bi-ideal, intervalvalued rough ( ∈ * , ∈ * ∨ q * )-fuzzy interior ideal and intervalvalued rough ( ∈ * , ∈ * ∨ q * )-fuzzy quasi ideal as a further generalization of ideals in semigroups and study the properties of these structures.