Abstract
The purpose of this paper is to define and study a new class of Nano fuzzy open sets called Nano fuzzy b-open sets in Nano fuzzy topological spaces. We have tried to analyze the basic properties of Nano fuzzy b-open sets. We have also used these Nano fuzzy b-open sets to introduce a new type of Nano fuzzy continuous functions, which are called Nano fuzzy b-open continuous functions and their properties are investigated.
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