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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