Songklanakarin Journal of Science and Technology (SJST) (Feb 2021)

A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets

  • Supriya Bhunia,
  • Ganesh Ghorai

DOI
https://doi.org/10.14456/sjst-psu.2021.38
Journal volume & issue
Vol. 43, no. 1
pp. 295 – 306

Abstract

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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