Special picture fuzzy soft sets over UP-algebras

Sunisa Yuphaphin1 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao56000, Thailand E-mail: [email protected]

Pimwaree Kankaew2 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao56000, Thailand E-mail: [email protected]

Nattacha Lapo3 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao56000, Thailand E-mail: [email protected]

Ronnason Chinram4 Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla90110, Thailand E-mail: [email protected]

https://orcid.org/0000-0002-6113-3689

Aiyared Iampan5 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao56000, ThailandCorrespondence[email protected]

https://orcid.org/0000-0002-0475-3320

Abstract

The notion of picture fuzzy soft sets (PFSSs) was first introduced by Yang et al. [26] in 2015, which is merging the notion of picture fuzzy sets (PFSs) and soft sets. We used the notion of PFSSs over UP-algebras to present eight new notions of PFSSs using a special type in this paper. In addition, we describe the eight new notions of PFSSs over UP-algebras and their necessary and sufficient conditions.

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Special picture fuzzy soft sets over UP-algebras

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Special picture fuzzy soft sets over UP-algebras

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