r-FUZZY REGULAR SEMI OPEN SETS IN SMOOTHTOPOLOGICAL SPACES

In this paper, we introduce and study the concept of r-fuzzy regular semi open (closed) sets in smooth topological spaces.By using r-fuzzy regular semi open (closed) sets, we de ne a newfuzzy closure operator namely r-fuzzy regular semi interior (closure)operator. Also, we introduce fuzzy regular semi continuous andfuzzy regular semi irresolute mappings. Moreover, we investigatethe relationship among fuzzy regular semi continuous and fuzzy reg-ular semi irresolute mappings. Finally, we have given some counterexamples to show that these types of mappings are not equivalent.