id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1298	K.Vairamuthu	Some Product in Bipolar Valued Multi I-Fuzzy Subrings of a Ring	2024	8	.pdf	application/pdf	4703	248	88	Keywords: Interval-valued fuzzy subset, bipolar valued fuzzy subset, bipolar valued multi fuzzy subset, bipolar valued multi I-fuzzy subset, bipolar valued multi fuzzy subring, bipolar valued multi I-fuzzy subring, product, and strongest relation. = (𝔓𝑖 + × 𝔚𝑖 +)(𝔬, 𝔡) 𝑎𝑛𝑑 (𝔓𝑖 − × 𝔚𝑖 −)(𝔥, 𝔷) = (𝔓𝑖 − × 𝔚𝑖 −)(𝔬, 𝔡), for all i = 1, 2, … , n} is either empty or 𝑎 subring 𝔎1 × 𝔎2, where 𝔬, 𝔡 are first operation identity elements of 𝔎1 and 𝔎2.	cache/cana-1298.pdf	txt/cana-1298.txt
