Open AccessCertain properties of ω-Q-fuzzy subrings
Author(s) -
Dilshad Alghazzawi,
Wafaa H. Hanoon,
Muhammad Gulzar,
Ghazanfar Abbas,
Nasreen Kausar
Publication year - 2021
Publication title -
indonesian journal of electrical engineering and computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.241
H-Index - 17
eISSN - 2502-4760
pISSN - 2502-4752
DOI - 10.11591/ijeecs.v21.i2.pp822-828
Subject(s) - subring , mathematics , fuzzy logic , ring (chemistry) , ideal (ethics) , coset , discrete mathematics , set (abstract data type) , pure mathematics , algebra over a field , computer science , artificial intelligence , philosophy , chemistry , organic chemistry , epistemology , programming language
In this paper, we define the - -fuzzy subring and discussed various fundamental aspects of - -fuzzy subrings. We introduce the concept of - -level subset of this new fuzzy set and prove that - -level subset of - -fuzzy subring form a ring. We define - -fuzzy ideal and show that set of all - -fuzzy cosets form a ring. Moreover, we investigate the properties of homomorphic image of - -fuzzy subring.