Fractal Fuzzy Sets: Open Conjectures and Future Outlooks

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Ismail A Mageed
DOI: 10.5281/zenodo.18140473
Cited by: 0

Abstract

Fractal Fuzzy Sets (FFS) merge fractal geometry and fuzzy set theory to model uncertainty, but have gaps in convergence properties, topological dimensions, and scalability. This paper explores the current state of FFS, identifies critical open conjectures—specifically regarding the "Fractal-Fuzzy Uncertainty Principle"—and outlines future research trajectories in deep learning and quantum computing.

Fields of Study & Subjects

Topological and Geometric Data Analysis Advanced Mathematical Theories and Applications Theoretical and Computational Physics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 January 2026
Document type
Preprint