Roughness of fuzzy soft sets and related results
This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete a...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2015-04-01
|
| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868596.pdf |
| _version_ | 1811301363217334272 |
|---|---|
| author | Zhaowen Li Tusheng Xie |
| author_facet | Zhaowen Li Tusheng Xie |
| author_sort | Zhaowen Li |
| collection | DOAJ |
| description | This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete and union complete fuzzy soft sets are defined and supported by some illustrative examples. We obtain the structure of fuzzy soft rough sets, investigate the structure of fuzzy topologies induced by fuzzy soft sets, reveal the fact that every finite fuzzy topological space is a fuzzy soft approximation space and discuss fuzzy soft rough relations. We proved that there exists a one-to-one correspondence between the set of all fuzzy soft sets and the set of all [0,1]-valued information systems, which illustrates that we can research [0,1]-information systems by means of fuzzy soft sets. |
| first_indexed | 2024-04-13T07:07:33Z |
| format | Article |
| id | doaj.art-3eb24f904aac40bf8dc841417892e559 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T07:07:33Z |
| publishDate | 2015-04-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-3eb24f904aac40bf8dc841417892e5592022-12-22T02:56:57ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832015-04-018210.1080/18756891.2015.1001951Roughness of fuzzy soft sets and related resultsZhaowen LiTusheng XieThis paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete and union complete fuzzy soft sets are defined and supported by some illustrative examples. We obtain the structure of fuzzy soft rough sets, investigate the structure of fuzzy topologies induced by fuzzy soft sets, reveal the fact that every finite fuzzy topological space is a fuzzy soft approximation space and discuss fuzzy soft rough relations. We proved that there exists a one-to-one correspondence between the set of all fuzzy soft sets and the set of all [0,1]-valued information systems, which illustrates that we can research [0,1]-information systems by means of fuzzy soft sets.https://www.atlantis-press.com/article/25868596.pdfFuzzy soft setsFuzzy soft rough approximationsFuzzy soft rough setsFuzzy topologiesFuzzy soft rough relations[0 |
| spellingShingle | Zhaowen Li Tusheng Xie Roughness of fuzzy soft sets and related results International Journal of Computational Intelligence Systems Fuzzy soft sets Fuzzy soft rough approximations Fuzzy soft rough sets Fuzzy topologies Fuzzy soft rough relations [0 |
| title | Roughness of fuzzy soft sets and related results |
| title_full | Roughness of fuzzy soft sets and related results |
| title_fullStr | Roughness of fuzzy soft sets and related results |
| title_full_unstemmed | Roughness of fuzzy soft sets and related results |
| title_short | Roughness of fuzzy soft sets and related results |
| title_sort | roughness of fuzzy soft sets and related results |
| topic | Fuzzy soft sets Fuzzy soft rough approximations Fuzzy soft rough sets Fuzzy topologies Fuzzy soft rough relations [0 |
| url | https://www.atlantis-press.com/article/25868596.pdf |
| work_keys_str_mv | AT zhaowenli roughnessoffuzzysoftsetsandrelatedresults AT tushengxie roughnessoffuzzysoftsetsandrelatedresults |