Abstract

A new class of generalized fuzzy open sets, called fuzzy strongly preopen sets is introduced. Fuzzy strong precontinuous, fuzzy strongly preopen and fuzzy strongly preclosed mappings between fuzzy topological spaces are defined. Their properties and the relationships between these mappings and other mappings introduced previously are investigated.

Keywords: Fuzzy topology, fuzzy semiopen set, fuzzy preopen set, fuzzy strongly semiopen set, fuzzy strongly preopen set, fuzyy strong precontinuous mapping, fuzzy strongly preopen mapping, fuzzy strongly preclosed mapping.

MSC: 54A40

Pages:  111$-$123     

Volume  50 ,  Issue  3$-$4 ,  1998