International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 25-28, Pages 1487-1501
doi:10.1155/S0161171204301328
Some fuzzy SP-topological properties
S.E. Abbas
Department of Mathematics, Faculty of Science, South Valley University, Sohag 82524, Egypt
Abstract
We introduce r-fuzzy strongly preopen and r-fuzzy strongly preclosed sets in fuzzy topological space in view of the definition of Šostak (1985). We investigate some properties of them. Moreover, the concepts of fuzzy SP-continuous, fuzzy SP-irresolute continuous, fuzzy SP-irresolute open (closed) mappings, and a fuzzy SP-irresolute homeomorphism are introduced and studied. Some of their characteristic properties are considered.