Title :
Fuzzy strongly (r, s)-precontinuous mappings
Author :
Lee, Seok Jong ; Kim, Jin Tae
Author_Institution :
Dept. of Math., Chungbuk Nat. Univ., Cheongju, South Korea
Abstract :
In this paper, we introduce the concepts of fuzzy strongly (r, s)-preopen sets and fuzzy strongly (r, s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Scaronostak´s sense. The relationships among fuzzy (r, s)-continuous, fuzzy strongly (r, s)-semicontinuous, fuzzy (r, s)-precontinuous and fuzzy strongly (r, s)-precontinuous mappings are discussed. The notions of a fuzzy strongly (r, s)-preinterior and a fuzzy strongly (r, s)-preclosure are given. Using these concepts, the characterizations for the fuzzy strongly (r, s)-precontinuous mappings are obtained.
Keywords :
fuzzy set theory; Scaronostak´s sense; fuzzy (r, s)-continuous mappings; fuzzy (r, s)-precontinuous mappings; fuzzy strongly (r, s)-preclosure; fuzzy strongly (r, s)-precontinuous mappings; fuzzy strongly (r, s)-preinterior; fuzzy strongly (r, s)-preopen sets; fuzzy strongly (r, s)-semicontinuous mappings; intuitionistic fuzzy topological spaces; Fuzzy sets; Mathematics; Topology;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277236
