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