id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6761	Al-Zu’bi, Fadi; Ahmad, Abd Ghafur ; Alkouri, Abd Ulazeez ; Darus , Maslina ; Damrah, Sadeq 	Bipolar-Valued Fuzzy Subgroups, Normal Subgroups, and Homomorphisms on Dib’s Fuzzy Space	2025	28	.pdf	application/pdf	11622	695	76	Also, the bipolar valued fuzzy subgroups are induced by bipolar valued fuzzy subsets and then a relationship between bipolar valued fuzzy subgroups and classical fuzzy subgroups in terms of induction is demonstrated. Theorem 4. (Sl(B), F ), (Su(B), F ) and (S◦(B), F ) are bipolar valued fuzzy subgroups of ((G, [−1, 0], [0, 1]), F ) iff : (1) xFy ∈ B◦, ∀x, y ∈ B◦, (6) (2) f−xy(B −(x), B−(y))	cache/ejpam-6761.pdf	txt/ejpam-6761.txt