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.
In this paper, we introduce the concepts of neutrosophic nano δ-open sets and some stronger and weaker forms of neutrosophic nano open sets in neutrosophic nano topological spaces. And, show that the set of all neutrosophic nano δ-open sets are also a neutrosophic nano topology, which is called the neutrosophic nano δ topology. Further, we dealt with the concepts of neutrosphic nano δ-interior and neutrosophic nano δ-closure operators. Moreover, we define the product related neutrosophic nano topological spaces and proved some theorems related to this.
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