Open AccessAn approach to the study of fuzzy rough prime ideal extensions of semigroups
Author(s) -
V. S. Subha,
N. Thillaigovindan,
V. Chinnadurai,
S Sharmila
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 - 10.1088/1742-6596/1850/1/012105
Subject(s) - mathematics , rough set , fuzzy logic , extension (predicate logic) , prime (order theory) , ideal (ethics) , fuzzy set , discrete mathematics , fuzzy subalgebra , fuzzy number , pure mathematics , algebra over a field , combinatorics , computer science , artificial intelligence , philosophy , epistemology , programming language
Fuzzy rough set is a pair of lower and upper approximations of fuzzy set in a fuzzy approximation space. This paper studies the extension of fuzzy rough prime and semi-prime ideals in semigroups. Then we introduce the composition theory on fuzzy rough set. Finally some new characterization of semigroups by the properties of composition on fuzzy rough ideal extension are given.