Pythagorean fuzzy sets in UP-algebras and approximations
Copyright policy )Pythagorean fuzzy sets in UP-algebras and approximations
Le but de cet article est d'appliquer le concept d'ensembles flous pythagoriciens aux algèbres UP, puis nous introduisons cinq types d'ensembles flous pythagoriciens dans les algèbres UP. En outre, nous discuterons également de la relation entre certaines affirmations des ensembles flous pythagoriciens et des sous-algebras UP flous pythagoriciens (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.
El objetivo de este trabajo es aplicar el concepto de conjuntos difusos pitagóricos a las UP-álgebras, y luego introducimos cinco tipos de conjuntos difusos pitagóricos en las UP-álgebras. Además, también discutiremos la relación entre algunas afirmaciones de conjuntos difusos pitagóricos y subalgebras difusas pitagóricas (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) en UP-algebras y estudiar aproximaciones superiores e inferiores de conjuntos difusos pitagóricos.
The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.
الهدف من هذه الورقة هو تطبيق مفهوم مجموعات فيثاغورس الغامضة على الجبر العلوي، ثم نقدم خمسة أنواع من مجموعات فيثاغورس الغامضة في الجبر العلوي. بالإضافة إلى ذلك، سنناقش أيضًا العلاقة بين بعض تأكيدات مجموعات فيثاغورس الغامضة ومجموعات فيثاغورس الغامضة UP - subalgebras (resp.، فيثاغورس غامض بالقرب من UP - filters، فيثاغورس غامض UP - filters، فيثاغورس غامض UP - Idals، فيثاغورس غامض قوي UP - Idals) في UP - algebras ودراسة التقريبات العلوية والسفلية لمجموعات فيثاغورس غامض.
- University of Phayao Thailand
- Prince of Songkla University Thailand
Rough Sets Theory and Applications, Intuitionistic Fuzzy Sets, Artificial intelligence, Fuzzy Rough Sets, UP-algebra, Pythagorean fuzzy UP-subalgebra, Social Sciences, Geometry, up-algebra, pythagorean fuzzy near up-filter, pythagorean fuzzy up-ideal, Management Science and Operations Research, Multi-Criteria Decision Making, Pythagorean triple, Other algebras related to logic, Pythagorean fuzzy set, Decision Sciences, BCK-algebras, BCI-algebras, pythagorean fuzzy up-filter, QA1-939, FOS: Mathematics, pythagorean fuzzy up-subalgebra, Pythagorean fuzzy UP-filter, Pythagorean theorem, Algebra over a field, upper approximation, lower approximation, Application of Soft Set Theory in Decision Making, Pure mathematics, pythagorean fuzzy strong up-ideal, Discrete mathematics, Computer science, Pythagorean fuzzy UP-ideal, Fuzzy logic, pythagorean fuzzy set, Pythagorean fuzzy strong UP-ideal, Computational Theory and Mathematics, Fuzzy Sets, Interval-Valued Fuzzy Sets, Pythagorean fuzzy near UP-filter, Computer Science, Physical Sciences, Mathematics
Rough Sets Theory and Applications, Intuitionistic Fuzzy Sets, Artificial intelligence, Fuzzy Rough Sets, UP-algebra, Pythagorean fuzzy UP-subalgebra, Social Sciences, Geometry, up-algebra, pythagorean fuzzy near up-filter, pythagorean fuzzy up-ideal, Management Science and Operations Research, Multi-Criteria Decision Making, Pythagorean triple, Other algebras related to logic, Pythagorean fuzzy set, Decision Sciences, BCK-algebras, BCI-algebras, pythagorean fuzzy up-filter, QA1-939, FOS: Mathematics, pythagorean fuzzy up-subalgebra, Pythagorean fuzzy UP-filter, Pythagorean theorem, Algebra over a field, upper approximation, lower approximation, Application of Soft Set Theory in Decision Making, Pure mathematics, pythagorean fuzzy strong up-ideal, Discrete mathematics, Computer science, Pythagorean fuzzy UP-ideal, Fuzzy logic, pythagorean fuzzy set, Pythagorean fuzzy strong UP-ideal, Computational Theory and Mathematics, Fuzzy Sets, Interval-Valued Fuzzy Sets, Pythagorean fuzzy near UP-filter, Computer Science, Physical Sciences, Mathematics
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