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A new approach to fuzzy group theoryusing (??, ??) -Pythagorean fuzzy sets |
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| รหัสดีโอไอ | |
| Creator | 1. Supriya Bhunia 2. Ganesh Ghorai |
| Title | A new approach to fuzzy group theoryusing (??, ??) -Pythagorean fuzzy sets |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 1 |
| Page no. | 295-306 |
| Keyword | Pythagorean fuzzy set, (??, ??) - Pythagorean fuzzy set, (??, ??) - Pythagorean fuzzy subgroup, (??, ??) - Pythagoreanfuzzy normal subgroup, (??, ??) - Pythagorean fuzzy level subgroup |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | 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 (??, ??) -Pythagorean fuzzy set (PFS) as a generalisation of Pythagorean fuzzy set (PFS). We propose anew fuzzy subgroup, called (??, ??) -Pythagorean fuzzy subgroup (PFSG). We investigate properties of our proposed fuzzysubgroup. We present the concept of (??, ??) -Pythagorean fuzzy coset (PFC) and (??, ??) -Pythagorean fuzzy normal subgroup(PFNSG). Furthermore, we define (??, ??) -Pythagorean fuzzy level subgroup (PFLSG) and establish properties of it. |
