SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 43, No. 01, Month JANUARY, Year 2021, Pages 295 - 306

A new approach to fuzzy group theory usingpythagorean fuzzy sets

Supriya Bhunia, Ganesh Ghorai

Abstract Download PDF

A Pythagorean fuzzy set (PFS) is a very efficient and powerful tool for handling uncertainty and vagueness. In this paper, we present the notion of (𝛼, 𝛽) -Pythagorean fuzzy set (PFS) as a generalisation of Pythagorean fuzzy set (PFS). We propose a new fuzzy subgroup, called (𝛼, 𝛽) -Pythagorean fuzzy subgroup (PFSG). We investigate properties of our proposed fuzzy subgroup. We present the concept of (𝛼, 𝛽) -Pythagorean fuzzy coset (PFC) and (𝛼, 𝛽) -Pythagorean fuzzy normal subgroup (PFNSG). Furthermore, we define (𝛼, 𝛽) -Pythagorean fuzzy level subgroup (PFLSG) and establish properties of it.

Keywords

Pythagorean fuzzy set, Pythagorean fuzzy set

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