Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making

Authors : Samet MEMİŞ

Pages : 1-13

Doi:10.53570/jnt.1037280

View : 13 | Download : 13

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :Cuong [Picture Fuzzy Sets, Journal of Computer Science and Cybernetics 30 insert ignore into journalissuearticles values(4); insert ignore into journalissuearticles values(2014); 409–420] has introduced the concept of picture fuzzy soft sets insert ignore into journalissuearticles values(pfs-sets); relying on his definition and operations of picture fuzzy sets insert ignore into journalissuearticles values(pf -sets);, in which there exist some inconsistencies. Yang et al. [Adjustable Soft Discernibility Matrix Based on Picture Fuzzy Soft Sets and Its Applications in Decision Making, Journal of Intelligent & Fuzzy Systems 29 insert ignore into journalissuearticles values(4); insert ignore into journalissuearticles values(2015); 1711–1722] have claimed that they have introduced the concept of pfs-sets with the inconsistencies in Cuong’s definition of pf -sets. Therefore, this study redefines the concept of pfs-sets to deal with the inconsistencies therein. Moreover, it investigates some of the properties of pfs-sets and their product operations and proposes a soft decision-making method via pfs-sets. Finally, pfs-sets, their product operations, and the proposed method are discussed for further research.
Keywords : Fuzzy Sets, Picture Fuzzy Sets, Soft Sets, Picture Fuzzy Soft Sets, Intuitionistic Fuzzy Sets