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On Cubic Spherical Neutrosophic Continuity
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Author(s): M. Karpagadevi (Sri GVG Visalakshi College for Women, India), S. Gomathi (Sri GVG Visalakshi College for Women, India), A. Revathy (Sri Eswar College of Engineering, India), S. Krishnaprakash (Sri Krishna College of Engineering and Technology, India)and Ramesh Ramasamy (Dr. Mahalingam College of Engineering and Technology, India)
Copyright: 2025
Pages: 12
Source title:
Modern SuperHyperSoft Computing Trends in Science and Technology
Source Author(s)/Editor(s): Florentin Smarandache (University of New Mexico, USA)and Priyanka Majumder (Techno College of Engineering, Agartala, India)
DOI: 10.4018/979-8-3693-6875-6.ch009
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Abstract
This paper introduces the concept of cubic spherical neutrosophic continuous mapping in a cubic spherical neutrosophic topological framework. A cubic spherical neutrosophic set is defined in a universe with elements mapped to a triplet representing degrees of membership, indeterminacy, and non-membership within a sphere of radius. We extend this structure to develop Cubic Spherical Neutrosophic Topological Spaces (CSNTSs), where the topology is defined by cubic spherical neutrosophic open and closed sets. The paper presents cubic spherical neutrosophic continuous mappings and Hausdorff properties for mappings between CSNTSs. Several theorems establish foundational results, including conditions for homeomorphisms, closed mappings, quotient mappings, and connected spaces. These results provide a rigorous mathematical foundation for CSNTS, demonstrating their potential utility in various applications requiring a blend of certainty, uncertainty, and vagueness.
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