Galoitica: Journal of Mathematical Structures and Applications
GJMSA
2834-5568
10.54216/GJSMA
https://www.americaspg.com/journals/show/4094
2022
2022
Extending Classical Uncertainty Models via Hyperpolar Structures: Fuzzy, Neutrosophic, and Soft Set Perspectives
Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan
Takaaki
Takaaki
Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan
Arif
Mehmood
Concepts such as the Fuzzy Set, Neutrosophic Set, and Soft Set are known for handling uncertainty. As extensions of Fuzzy Sets, Neutrosophic Sets, and Soft Sets, concepts such as Bipolar Fuzzy Sets, Bipolar Neutrosophic Sets, and Bipolar Soft Sets have been introduced. In this paper, we further extend these notions and explore Hyperpolar Fuzzy Sets, Hyperpolar Neutrosophic Sets, and Hyperpolar Soft Sets. These structures integrate multi-perspective or multi-agent evaluations into a unified framework by leveraging higher-dimensional mappings and hypercubic representations. This work lays a theoretical foundation for advanced uncertainty modeling in complex, multi-source environments.
2025
2025
24
39
10.54216/GJMSA.120202
https://www.americaspg.com/articleinfo/33/show/4094