Strongly semi (TR, T*R*) -L-fuzzy nano continuity, strongly semi- nano retracts and decision making (TR, T*R*) -L-fuzzy

In this paper, the notion of nano topological spaces is extended to (TR,T*R*)-L-fuzzy nano topological space. The concepts of (TR,T*R*)-L-fuzzy nano open sets and weaker form of it in (TR,T*R*)-L-fuzzy nano topological space are introduced and investigated. The relations between these concepts are considered, and a definition for a (TR,T*R*)-L-fuzzy nano continuousfunction nano continuous function is provided. Several theorems and examples are presented to study generalizations of this concept. As an application get (TR,T*R*)-L-fuzzy nano retracts via (TR,T*R*)-L-fuzzy nano continuousfunctions. More examples and results are obtained. Finally, (TR,T*R*)-L-fuzzy nano topological space is used for correct decision-making.