DOI: 10.1142/s1793005724500315 ISSN: 1793-0057

Čech L-Fuzzy Rough Proximity Spaces

Virendra Kumar, Surabhi Tiwari
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Computer Science Applications
  • Human-Computer Interaction

In order to define the concept of nearness between [Formula: see text]-fuzzy rough sets, we introduce the concept of Čech [Formula: see text]-fuzzy rough proximity spaces. On this new nearness structure, we prove some basic topological results. To support the proposed approach, examples are given. Further, we introduce [Formula: see text]-fuzzy rough grills, [Formula: see text]-fuzzy rough filters and [Formula: see text]-fuzzy rough clusters and on Čech [Formula: see text]-fuzzy rough proximity spaces, and find the relationship between them.

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