Redefined soft relations and soft functions
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the co...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2015-09-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868632.pdf |
| _version_ | 1818539044523474944 |
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| author | Keyun Qin Qiong Liu Yang Xu |
| author_facet | Keyun Qin Qiong Liu Yang Xu |
| author_sort | Keyun Qin |
| collection | DOAJ |
| description | Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the connections between soft relations and fuzzy sets are analyzed. It is shown that fuzzy relation and fuzzy soft set may be considered as special cases of soft relation. |
| first_indexed | 2024-12-11T21:36:51Z |
| format | Article |
| id | doaj.art-90412aff60fd49639a6dbd4428af117d |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-12-11T21:36:51Z |
| publishDate | 2015-09-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-90412aff60fd49639a6dbd4428af117d2022-12-22T00:49:58ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832015-09-018510.1080/18756891.2015.1063244Redefined soft relations and soft functionsKeyun QinQiong LiuYang XuSoft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the connections between soft relations and fuzzy sets are analyzed. It is shown that fuzzy relation and fuzzy soft set may be considered as special cases of soft relation.https://www.atlantis-press.com/article/25868632.pdfSoft setsFuzzy setsSoft relationsSoft functionsComposition of soft relations |
| spellingShingle | Keyun Qin Qiong Liu Yang Xu Redefined soft relations and soft functions International Journal of Computational Intelligence Systems Soft sets Fuzzy sets Soft relations Soft functions Composition of soft relations |
| title | Redefined soft relations and soft functions |
| title_full | Redefined soft relations and soft functions |
| title_fullStr | Redefined soft relations and soft functions |
| title_full_unstemmed | Redefined soft relations and soft functions |
| title_short | Redefined soft relations and soft functions |
| title_sort | redefined soft relations and soft functions |
| topic | Soft sets Fuzzy sets Soft relations Soft functions Composition of soft relations |
| url | https://www.atlantis-press.com/article/25868632.pdf |
| work_keys_str_mv | AT keyunqin redefinedsoftrelationsandsoftfunctions AT qiongliu redefinedsoftrelationsandsoftfunctions AT yangxu redefinedsoftrelationsandsoftfunctions |