Abstract
In this paper, we introduce some new spaces called fuzzy nano \( M \) normal spaces and strongly fuzzy nano \( M \) normal spaces with the help of fuzzy nano \( M \) open sets in fuzzy nano topological space. Also, find their relations among themselves and with already existing spaces. Also, we study some basic properties and the characterizations of these normal spaces. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding candidates choose their works by using fuzzy nano topological spaces is developed.
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