Open AccessRough Pythagorean Fuzzy Sets in UP-Algebras
Author(s) -
Akarachai Satirad,
Ronnason Chinram,
Pongpun Julatha,
Aiyared Iampan
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i1.4254
Subject(s) - pythagorean theorem , mathematics , generalization , rough set , algebra over a field , fuzzy logic , fuzzy set , pythagorean triple , pure mathematics , discrete mathematics , artificial intelligence , computer science , mathematical analysis , geometry
This paper aims to apply the concept of rough sets to Pythagorean fuzzy sets in UP-algebras. Then we introduce fifteen types of rough Pythagorean fuzzy sets in UP-algebras and study their generalization. In addition, we will also discuss $t$-level subsets of rough Pythagorean fuzzy sets in UP-algebras to study the relationships between rough Pythagorean fuzzy sets and rough sets in UP-algebras.