A New Type of Fuzzy Covering Property for Fuzzy Topological Spaces

Authors

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

Keywords:

Semi-open α-shading, proximate Gα-shading, fuzzy GSα-closed, fuzzy Gα-compact, fuzzy Gα-almost compact.

Abstract

In this paper, we introduce and study a new type of fuzzy S-closedness in a fuzzy topological space with respect to certain fuzzy grill G and through some specific α-shading (0 < α < 1), named as fuzzy GSα-closedness. The work done in this paper aspires to get, in a new perspective, certain analogues of the results and concepts-usually encountered in connection with the study of S-closedness in topological and fuzzy topological spaces.

Key words and phrases. Semi-open α-shading, proximate Gα-shading, fuzzy GSα-closed, fuzzy Gα-compact, fuzzy Gα-almost compact.

2010 Mathematics Subject Classification. 54A40, 54A20, 54D30, 54C05

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Published

2025-05-18

How to Cite

Sumita Das (Basu), M. N. Mukherjee, & Prakash Mukherjee. (2025). A New Type of Fuzzy Covering Property for Fuzzy Topological Spaces. Jordan Journal of Mathematics and Statistics, 14(2), 197–220. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/804

Issue

Vol. 14 No. 2 (2021)

Section

Articles