A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets
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 fu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2021-02-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/43-1/38.pdf |
| _version_ | 1818903368801714176 |
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| author | Supriya Bhunia Ganesh Ghorai |
| author_facet | Supriya Bhunia Ganesh Ghorai |
| author_sort | Supriya Bhunia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T20:50:26Z |
| format | Article |
| id | doaj.art-a552ebc90bbc4e729713f08a60ebdccf |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-19T20:50:26Z |
| publishDate | 2021-02-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-a552ebc90bbc4e729713f08a60ebdccf2022-12-21T20:06:07ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952021-02-0143129530610.14456/sjst-psu.2021.38A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy setsSupriya Bhunia0Ganesh Ghorai1Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102 IndiaDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102 IndiaA 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.http://rdo.psu.ac.th/sjstweb/journal/43-1/38.pdfpythagorean fuzzy set(𝛼𝛽) - pythagorean fuzzy set𝛽) - pythagorean fuzzy subgroup𝛽) - pythagorean fuzzy normal subgroup𝛽) - pythagorean fuzzy level subgroup |
| spellingShingle | Supriya Bhunia Ganesh Ghorai A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets Songklanakarin Journal of Science and Technology (SJST) pythagorean fuzzy set (𝛼 𝛽) - pythagorean fuzzy set 𝛽) - pythagorean fuzzy subgroup 𝛽) - pythagorean fuzzy normal subgroup 𝛽) - pythagorean fuzzy level subgroup |
| title | A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets |
| title_full | A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets |
| title_fullStr | A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets |
| title_full_unstemmed | A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets |
| title_short | A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets |
| title_sort | new approach to fuzzy group theory using 𝛼 𝛽 pythagorean fuzzy sets |
| topic | pythagorean fuzzy set (𝛼 𝛽) - pythagorean fuzzy set 𝛽) - pythagorean fuzzy subgroup 𝛽) - pythagorean fuzzy normal subgroup 𝛽) - pythagorean fuzzy level subgroup |
| url | http://rdo.psu.ac.th/sjstweb/journal/43-1/38.pdf |
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