Study of pentagonal controlled intuitionistic fuzzy metric spaces

Articles in Press

Document Type : Research Paper

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Institute for Excellence in Higher Education, Bhopal, India

Abstract

This paper introduces Pentagonal Controlled Intuitionistic Fuzzy Metric Spaces (PCIFMS), a novel extension of intuitionistic fuzzy metric spaces that incorporates a pentagonal control function to better handle uncertainty and imprecision. We establish foundational theorems, provide detailed proofs, and explore practical applications in decision-making, image processing, and complex systems analysis. The proposed model offers significant advantages over existing frameworks, particularly in its ability to adapt to multi-dimensional and context-dependent scenarios. This study contributes to the development of fuzzy theory and its applications, providing a robust tool for modeling complex systems under uncertainty.

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References

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Journal of Hyperstructures

Articles in Press, Accepted Manuscript
Available Online from 20 September 2025

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