Abstract

We introduce $r$-fuzzy strongly preopen and $r$-fuzzy strongly preclosed sets in fuzzy topological spaces in the sense of the definition of Šostak~[8] and investigate some of their properties. Fuzzy strongly precontinuous, fuzzy strongly preopen and fuzzy strongly preclosed mappings between fuzzy topological spaces are defined. Their properties and the relationship between these mappings and other mappings introduced previously are investigated.

Keywords: $r$-fuzzy strongly preopen, $r$-fuzzy strongly preclosed, fuzzy strong precontinuity, fuzzy strongly preopen mapping, fuzzy strongly preclosed mapping.

MSC: 54A40

Pages:  1--13     

Volume  55 ,  Issue  1$-$2 ,  2003