New types of rough Pythagorean fuzzy UP-filters of UP-algebras
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Authors
A. Satirad
- Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
R. Chinram
- Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai , Songkhla 90110 , Thailand .
P. Julatha
- Department of Mathematics, Faculty of Science and Technology , Pibulsongkram Rajabhat University, Phitsanulok 65000 , Thailand .
R. Prasertpong
- Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan 60000 , Thailand .
A. Iampan
- Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
Abstract
The aim of this paper is to introduce nine types of rough Pythagorean fuzzy sets in UP-algebras and nine types of rough sets in UP-algebras.
Then we study relation of these rough Pythagorean fuzzy sets and new types of Pythagorean fuzzy UP-filter under equivalence (congruence) relation.
Moreover, 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 which we defined them above.
Finally, we discuss the concept of homomorphisms between IUP-algebras and also study the direct and inverse images of four special subsets.
Share and Cite
ISRP Style
A. Satirad, R. Chinram, P. Julatha, R. Prasertpong, A. Iampan, New types of rough Pythagorean fuzzy UP-filters of UP-algebras, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 236--257
AMA Style
Satirad A., Chinram R., Julatha P., Prasertpong R., Iampan A., New types of rough Pythagorean fuzzy UP-filters of UP-algebras. J Math Comput SCI-JM. (2023); 28(3):236--257
Chicago/Turabian Style
Satirad, A., Chinram , R., Julatha , P., Prasertpong , R., Iampan , A.. "New types of rough Pythagorean fuzzy UP-filters of UP-algebras." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 236--257
Keywords
- UP-algebra
- rough set
- rough Pythagorean fuzzy set
- \(t\)-level subset
MSC
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