On the fuzzification of Lagrange's theorem in $ (\alpha, \beta) $-Pythagorean fuzzy environment

• Published in: AIMS mathematics Vol. 6; no. 9; pp. 9290 - 9308
• Main Authors: Bhunia, Supriya, Ghorai, Ganesh, Xin, Qin
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: (α，β)-pythagorean fuzzy order; (α，β)-pythagorean fuzzy quotient group; (α，β)-pythagorean fuzzy subgroup; lagrange's theorem; β)-pythagorean fuzzy set

An (α,β)-Pythagorean fuzzy environment is an efficient tool for handling vagueness. In this paper, the notion of relative subgroup of a group is introduced. Using this concept, the (α,β)-Pythagorean fuzzy order of elements of groups in (α,β)-Pythagorean fuzzy subgroups is defined and examined variou...