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September 10, 2025European Journal of Pure and Applied MathematicsOpen Access

Enhanced Uncertainty Modeling through Neutrosophic MR-Metrics: A Unified Framework with Fuzzy Embedding and Contraction Principles

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Authors

AMAbed Al-Rahman Malkawi

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Overview

This framework integrates fuzzy metric spaces with neutrosophic principles, enhancing uncertainty modeling capabilities.

Key Points

  • The embedding theorem demonstrates systematic integration of fuzzy metric spaces into neutrosophic frameworks.
  • Contraction mappings in complete neutrosophic MR-metric spaces generalize the fuzzy Banach contraction principle.
  • Characterization of sequence convergence in neutrosophic MR-metric spaces shows stricter requirements than fuzzy metric spaces.
  • Concrete applications in machine learning, robotic planning, and medical imaging illustrate the framework's practical benefits.

Cite This Study

Abed Al-Rahman Malkawi (2025) studied this question.

synapsesocial.com/papers/68c23f1fb210217d6479544dhttps://doi.org/10.29020/nybg.ejpam.v18i3.6475
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