Soft rough fuzzy sets based on covering
Soft rough fuzzy sets ($ \mathcal SRFSs $) represent a powerful paradigm that integrates soft computing, rough set theory, and fuzzy logic. This research aimed to comprehensively investigate the various dimensions of $ \mathcal SRFSs $ within the domain of approximation structures. The study encompa...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-03-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024548?viewType=HTML |
| _version_ | 1797219422413258752 |
|---|---|
| author | R. Mareay Radwan Abu-Gdairi M. Badr |
| author_facet | R. Mareay Radwan Abu-Gdairi M. Badr |
| author_sort | R. Mareay |
| collection | DOAJ |
| description | Soft rough fuzzy sets ($ \mathcal SRFSs $) represent a powerful paradigm that integrates soft computing, rough set theory, and fuzzy logic. This research aimed to comprehensively investigate the various dimensions of $ \mathcal SRFSs $ within the domain of approximation structures. The study encompassed a wide spectrum of concepts, ranging from covering approximation structures and soft rough coverings to soft neighborhoods, fuzzy covering approximation operators, and soft fuzzy covering approximation operators. We introduced three models of $ \mathcal SRFSs $ based on covering via the core of soft neighborhood. We discussed and analyzed our models' characteristics and properties. The relations between our models for soft fuzzy covering sets and Zhan's model for soft rough fuzzy covering were presented. |
| first_indexed | 2024-04-24T12:33:24Z |
| format | Article |
| id | doaj.art-d9973fa564c0439d990e45b4551a5aaf |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T12:33:24Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d9973fa564c0439d990e45b4551a5aaf2024-04-08T01:19:51ZengAIMS PressAIMS Mathematics2473-69882024-03-0195111801119310.3934/math.2024548Soft rough fuzzy sets based on coveringR. Mareay 0Radwan Abu-Gdairi 1M. Badr21. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt; Email: roshdeymareay@sci.kfs.edu.eg2. Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13132, Jordan; Email: rgdairi@zu.edu.jo3. Department of Mathematics, Faculty of Science, New Valley University, Egypt; Email: m.shaban@sci.nvu.edu.egSoft rough fuzzy sets ($ \mathcal SRFSs $) represent a powerful paradigm that integrates soft computing, rough set theory, and fuzzy logic. This research aimed to comprehensively investigate the various dimensions of $ \mathcal SRFSs $ within the domain of approximation structures. The study encompassed a wide spectrum of concepts, ranging from covering approximation structures and soft rough coverings to soft neighborhoods, fuzzy covering approximation operators, and soft fuzzy covering approximation operators. We introduced three models of $ \mathcal SRFSs $ based on covering via the core of soft neighborhood. We discussed and analyzed our models' characteristics and properties. The relations between our models for soft fuzzy covering sets and Zhan's model for soft rough fuzzy covering were presented.https://www.aimspress.com/article/doi/10.3934/math.2024548?viewType=HTMLcore soft neighborhoodsoft roughcoveringfuzzy logicmathematical modeling |
| spellingShingle | R. Mareay Radwan Abu-Gdairi M. Badr Soft rough fuzzy sets based on covering AIMS Mathematics core soft neighborhood soft rough covering fuzzy logic mathematical modeling |
| title | Soft rough fuzzy sets based on covering |
| title_full | Soft rough fuzzy sets based on covering |
| title_fullStr | Soft rough fuzzy sets based on covering |
| title_full_unstemmed | Soft rough fuzzy sets based on covering |
| title_short | Soft rough fuzzy sets based on covering |
| title_sort | soft rough fuzzy sets based on covering |
| topic | core soft neighborhood soft rough covering fuzzy logic mathematical modeling |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024548?viewType=HTML |
| work_keys_str_mv | AT rmareay softroughfuzzysetsbasedoncovering AT radwanabugdairi softroughfuzzysetsbasedoncovering AT mbadr softroughfuzzysetsbasedoncovering |