Research Article

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

Number: 38 March 31, 2022
EN

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

Abstract

Cuong [Picture Fuzzy Sets, Journal of Computer Science and Cybernetics 30 (4) (2014) 409–420] has introduced the concept of picture fuzzy soft sets (pfs-sets) relying on his definition and operations of picture fuzzy sets (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 (4) (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

References

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APA
Memiş, S. (2022). Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making. Journal of New Theory, 38, 1-13. https://doi.org/10.53570/jnt.1037280
AMA
1.Memiş S. Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making. JNT. 2022;(38):1-13. doi:10.53570/jnt.1037280
Chicago
Memiş, Samet. 2022. “Another View on Picture Fuzzy Soft Sets and Their Product Operations With Soft Decision-Making”. Journal of New Theory, nos. 38: 1-13. https://doi.org/10.53570/jnt.1037280.
EndNote
Memiş S (March 1, 2022) Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making. Journal of New Theory 38 1–13.
IEEE
[1]S. Memiş, “Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making”, JNT, no. 38, pp. 1–13, Mar. 2022, doi: 10.53570/jnt.1037280.
ISNAD
Memiş, Samet. “Another View on Picture Fuzzy Soft Sets and Their Product Operations With Soft Decision-Making”. Journal of New Theory. 38 (March 1, 2022): 1-13. https://doi.org/10.53570/jnt.1037280.
JAMA
1.Memiş S. Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making. JNT. 2022;:1–13.
MLA
Memiş, Samet. “Another View on Picture Fuzzy Soft Sets and Their Product Operations With Soft Decision-Making”. Journal of New Theory, no. 38, Mar. 2022, pp. 1-13, doi:10.53570/jnt.1037280.
Vancouver
1.Samet Memiş. Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making. JNT. 2022 Mar. 1;(38):1-13. doi:10.53570/jnt.1037280

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