id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-4565	K.Vairamuthu, S. Loganathan	Various Types of Translation in Bipolar Valued Multi I-Fuzzy Normal Subrings of a Ring	2025	8	.pdf	application/pdf	3755	260	91	𝐼 − 𝑓𝑢𝑧𝑧𝑦 𝑠𝑢𝑏𝑠𝑒𝑡 (𝐵𝑉𝑀𝐼𝐹𝑆) of 𝕨, where 𝔗𝑖 +: 𝕨 → 𝔻[0,1] 𝑖𝑠 𝑎 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒 𝑚𝑒𝑚𝑏𝑒𝑟𝑠ℎ𝑖𝑝 map and 𝔗𝑖 −: 𝕨 → 𝔻[−1,0] is a negative membership map. [11] 𝐴 𝐵𝑉𝑀𝐼𝐹𝑆 Ħ =  Ħ1 +, Ħ2 +,…,Ħ𝑛 +, Ħ1 −, Ħ2 −,…,Ħ𝑛 − 𝑜𝑓 𝑎 𝑟𝑖𝑛𝑔	cache/cana-4565.pdf	txt/cana-4565.txt
