A characterization of strong fuzzy diameter zero in intuitionistic fuzzy metric spaces

Authors

  • Yahya Mohamed Government Arts College, Affiliated to Bharathidasan University
  • Naargess Begum E Department of Mathematics, Dr. R.K. Shanmugam College of Arts and Science, Indili, Tamilnadu, India; mathsnb@gmail.com

DOI:

https://doi.org/10.23755/rm.v41i0.661

Keywords:

Strong fuzzy diameter, Intuitionistic fuzzy metric space, Strong completeness.

Abstract

Abstract: The idea of  Intuitionistic Fuzzy Metric Space introduced by Park (2004). In this paper, we introduce the notion of strong Intuitionistic Fuzzy diameter zero for a family of subsets based on the Intuitionistic fuzzy diameter for a subset of A. Then we introduce nested sequence of subsets having strong Intuitionistic fuzzy diameter zero using their Intuitionistic fuzzy diameter.

 

References

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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