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

In this work, We extend the notion of  nano topological spaces to $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano topological space. We introduce and investigate the concepts of $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano open sets and weaker form of it in $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano topological space. We consider the relations between these concepts. We give
a definition for a $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano continuous function and study by more theorems and examples the generalizations of this concept. As an application we get $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano$(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano continuous functions. More examples and results are obtained. Finally, we used $(T_R,T_{R^{\ast }}^{\ast })$-L-fuzzy nano topological space to take the correct Decision making.