Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making
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...
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Naim Çağman
2022-03-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2134857 |
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| author | Samet Memiş |
| author_facet | Samet Memiş |
| author_sort | Samet Memiş |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a50b7e15bca5477096f7794e87e18c53 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2022-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-a50b7e15bca5477096f7794e87e18c532025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022022-03-013811310.53570/jnt.10372802425Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-MakingSamet Memiş0https://orcid.org/0000-0002-0958-5872ISTANBUL RUMELI UNIVERSITYCuong [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.https://dergipark.org.tr/en/download/article-file/2134857fuzzy setspicture fuzzy setssoft setspicture fuzzy soft setsintuitionistic fuzzy sets |
| spellingShingle | Samet Memiş Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making Journal of New Theory fuzzy sets picture fuzzy sets soft sets picture fuzzy soft sets intuitionistic fuzzy sets |
| title | Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making |
| title_full | Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making |
| title_fullStr | Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making |
| title_full_unstemmed | Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making |
| title_short | Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making |
| title_sort | another view on picture fuzzy soft sets and their product operations with soft decision making |
| topic | fuzzy sets picture fuzzy sets soft sets picture fuzzy soft sets intuitionistic fuzzy sets |
| url | https://dergipark.org.tr/en/download/article-file/2134857 |
| work_keys_str_mv | AT sametmemis anotherviewonpicturefuzzysoftsetsandtheirproductoperationswithsoftdecisionmaking |