Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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PYTHAGOREAN FUZZY SOFT SETS OVER UP-ALGEBRAS

  • AKARACHAI SATIRAD (Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, Mae Ka, University of Phayao) ;
  • RUKCHART PRASERTPONG (Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University) ;
  • PONGPUN JULATHA (Faculty of Science and Technology, Pibulsongkram Rajabhat University) ;
  • RONNASON CHINRAM (Division of Computational Science, Faculty of Science, Prince of Songkla University) ;
  • AIYARED IAMPAN (Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, Mae Ka, University of Phayao)
  • Received : 2022.11.13
  • Accepted : 2022.12.20
  • Published : 2023.05.30
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Abstract

This paper aims to apply the concept of Pythagorean fuzzy soft sets (PFSSs) to UP-algebras. Then we introduce five types of PFSSs over UP-algebras, study their generalization, and provide illustrative examples. In addition, we study the results of four operations of two PFSSs over UP-algebras, namely, the union, the restricted union, the intersection, and the extended intersection. Finally, we will also discuss t-level subsets of PFSSs over UP-algebras to study the relationships between PFSSs and special subsets of UP-algebras.

Keywords

Acknowledgement

This work was supported by the revenue budget in 2022, School of Science, University of Phayao, Thailand (Grant No. PBTSC65020).

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