International Journal of Mathematics and Mathematical Sciences 
Volume 27 (2001), Issue 1, Pages 53-63
doi:10.1155/S0161171201010882

Fuzzy r-continuous and fuzzy r-semicontinuous maps

Seok Jong Lee1 and Eun Pyo Lee2

 1Department of Mathematics, Chungbuk National University, Cheongju 361-763, South Korea
2Department of Mathematics, Seonam University, Namwon 590-711, South Korea
Received 7 September 2000

Abstract

We introduce a new notion of fuzzy r-interior which is an extension of Chang's fuzzy interior. Using fuzzy r-interior, we define fuzzy r-semiopen sets and fuzzy r-semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzy topology, respectively. Some basic properties of fuzzy r-semiopen sets and fuzzy r-semicontinuous maps are investigated.