On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

Article Mathematics, Applied

On the fuzzification of Lagrange's theorem in (α, β)-Pythagorean fuzzy environment

Supriya Bhunia et al.

Summary: （English Summary:） This paper introduces the concept of (alpha, beta)-Pythagorean fuzzy order of elements, including relative subgroup, normalizer, centralizer, and a fuzzy version of Lagrange's theorem, providing an efficient tool for handling vagueness in a fuzzy environment.

AIMS MATHEMATICS (2021)

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Article Mathematics

On some characterization of Q-complex fuzzy sub-rings

Muhammad Gulzar et al.

Summary: This paper introduces the concept of Q-complex fuzzy sub-ring (Q-CFSR) and discusses its various algebraic aspects. It proves that every Q-CFSR generates two Q-fuzzy sub-rings (Q-FSRs) and presents the concept of level subsets forming sub-ring. Additionally, it extends this idea to define the direct product of two Q-CFSR and investigates the homomorphic image and inverse image of Q-CFSR.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS (2021)

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Article Mathematics, Applied

On the characterization of Pythagorean fuzzy subgroups

Supriya Bhunia et al.

Summary: The paper introduces the concept of Pythagorean fuzzy subgroup and its various properties, including fuzzy coset and normal subgroup. It also defines the notion of fuzzy level subgroup and discusses the effect of group homomorphism on Pythagorean fuzzy subgroup.

AIMS MATHEMATICS (2021)

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Article Mathematics