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

Yahya Mohamed, Naargess Begum E

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.

 


Keywords


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

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DOI: http://dx.doi.org/10.23755/rm.v41i0.661

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