On properties and operations of complex neutrosophic soft groups
Complex neutrosophic soft groups represent a significant advancement in handling uncertainty by integrating the concepts of fuzzy logic, soft sets, and neutrosophic logic. These groups generalize complex fuzzy soft groups and introduce an additional dimension through neutrosophic membership function...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Nature
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/112024/ http://psasir.upm.edu.my/id/eprint/112024/2/112024.pdf |
| _version_ | 1848865835192418304 |
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| author | Rahoumah, Fatimah Yow, Kai Siong Nik Long, Nik Mohd Asri Gasim, Menshawi |
| author_facet | Rahoumah, Fatimah Yow, Kai Siong Nik Long, Nik Mohd Asri Gasim, Menshawi |
| author_sort | Rahoumah, Fatimah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Complex neutrosophic soft groups represent a significant advancement in handling uncertainty by integrating the concepts of fuzzy logic, soft sets, and neutrosophic logic. These groups generalize complex fuzzy soft groups and introduce an additional dimension through neutrosophic membership functions, namely truth, indeterminacy, and falsity. This creates a richer framework for dealing with uncertainty and ambiguity, making it well-suited for managing complex data structures in real-world applications. We explore some important definitions and theoretical frameworks surrounding complex neutrosophic soft groups, highlighting the unique aspect of neutrosophic membership functions. Additionally, we present an overview of neutrosophic soft groups, exploring some of their key operations and fundamental properties. We then examine the basics of homogeneous complex neutrosophic soft sets and their roles in establishing complex neutrosophic soft groups. |
| first_indexed | 2025-11-15T14:11:01Z |
| format | Article |
| id | upm-112024 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:11:01Z |
| publishDate | 2024 |
| publisher | Springer Nature |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1120242024-09-17T01:57:24Z http://psasir.upm.edu.my/id/eprint/112024/ On properties and operations of complex neutrosophic soft groups Rahoumah, Fatimah Yow, Kai Siong Nik Long, Nik Mohd Asri Gasim, Menshawi Complex neutrosophic soft groups represent a significant advancement in handling uncertainty by integrating the concepts of fuzzy logic, soft sets, and neutrosophic logic. These groups generalize complex fuzzy soft groups and introduce an additional dimension through neutrosophic membership functions, namely truth, indeterminacy, and falsity. This creates a richer framework for dealing with uncertainty and ambiguity, making it well-suited for managing complex data structures in real-world applications. We explore some important definitions and theoretical frameworks surrounding complex neutrosophic soft groups, highlighting the unique aspect of neutrosophic membership functions. Additionally, we present an overview of neutrosophic soft groups, exploring some of their key operations and fundamental properties. We then examine the basics of homogeneous complex neutrosophic soft sets and their roles in establishing complex neutrosophic soft groups. Springer Nature 2024 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/112024/2/112024.pdf Rahoumah, Fatimah and Yow, Kai Siong and Nik Long, Nik Mohd Asri and Gasim, Menshawi (2024) On properties and operations of complex neutrosophic soft groups. Journal of Inequalities and Applications, 2024 (1). art. no. 103. pp. 1-16. ISSN 1025-5834; EISSN: 1029-242X https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-024-03173-7 10.1186/s13660-024-03173-7 |
| spellingShingle | Rahoumah, Fatimah Yow, Kai Siong Nik Long, Nik Mohd Asri Gasim, Menshawi On properties and operations of complex neutrosophic soft groups |
| title | On properties and operations of complex neutrosophic soft groups |
| title_full | On properties and operations of complex neutrosophic soft groups |
| title_fullStr | On properties and operations of complex neutrosophic soft groups |
| title_full_unstemmed | On properties and operations of complex neutrosophic soft groups |
| title_short | On properties and operations of complex neutrosophic soft groups |
| title_sort | on properties and operations of complex neutrosophic soft groups |
| url | http://psasir.upm.edu.my/id/eprint/112024/ http://psasir.upm.edu.my/id/eprint/112024/ http://psasir.upm.edu.my/id/eprint/112024/ http://psasir.upm.edu.my/id/eprint/112024/2/112024.pdf |