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Advanced studies in pentagonal controlled intuitionistic fuzzy metric spaces with applications | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 2، اسفند 2025، صفحه 289-305 اصل مقاله (1.62 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16011.1052 | ||
| نویسنده | ||
| Ram Milan Singh* | ||
| Institute for Excellence in Higher Education, Bhopal, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Intuitionistic Fuzzy Metric Space؛ Pentagonal Control Function؛ Fuzzy Logic؛ Decision-Making؛ Image Processing | ||
| مراجع | ||
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