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On properties and operations of complex neutrosophic soft groups


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1186/s13660-024-03173-7
Publisher: Springer Nature
Keywords: Neutrosophic logic; Complex neutrosophic soft set; Complex neutrosophic soft group; Homogenous neutrosophic soft group
Depositing User: Scopus 2024
Date Deposited: 17 Sep 2024 01:57
Last Modified: 17 Sep 2024 01:57
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13660-024-03173-7
URI: http://psasir.upm.edu.my/id/eprint/112024
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