On some Covering Properties in Terms of Fuzzy Grill

Authors

  • Sumita Das (Basu)
  • M. N. Mukherjee

Keywords:

Fuzzy topology, fuzzy grill, α-shading, fuzzy Gα-compact, fuzzy Gα-almost compact.

Abstract

In this paper our primary intension is to develop some fuzzy grill oriented compact-like notions through α-shading in a fuzzy topological space. Moreover, we characterize these ideas by means of α-finite union property, prefilterbases, prefilters and fuzzy grills via some pre-assigned fuzzy grill and the underlying fuzzy topology.

Key words and phrases. Fuzzy topology, fuzzy grill, α-shading, fuzzy Gα-compact, fuzzy Gα-almost compact.

2000 Mathematics Subject Classification. Primary 54A40, Secondary 54D05, 54C05

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Published

2025-05-18

How to Cite

Sumita Das (Basu), & M. N. Mukherjee. (2025). On some Covering Properties in Terms of Fuzzy Grill. Jordan Journal of Mathematics and Statistics, 7(4), 303–325. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1076

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