Browse > Article
http://dx.doi.org/10.7468/jksmeb.2012.19.3.263

FUZZY γ-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES  

Min, Won-Keun (Department of Mathematics, Kangwon National University)
Kim, Myeong-Hwan (Department of Mathematics, Kangwon National University)
Publication Information
The Pure and Applied Mathematics / v.19, no.3, 2012 , pp. 263-271 More about this Journal
Abstract
We introduce the concept of fuzzy $r$-minimal ${\beta}$-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy $r-M$ ${\beta}$-continuous mapping which is a generalization of fuzzy $r-M$ continuous mapping and fuzzy $r-M$ semicontinuous mapping, and investigate characterization for the continuity.
Keywords
fuzzy minimal structures; $r$-minimal open; $r$-minimal ${\beta}$-open; fuzzy $r-M$ continuous; fuzzy $r-M$ ${\beta}$-continuous;
Citations & Related Records
연도 인용수 순위
  • Reference
1 C.L. Chang: Fuzzy topological spaces. J. Math. Anal. Appl. 24 (1968), 182-190.   DOI
2 A.A. Ramadan: Smooth topological spaces. Fuzzy Sets and Systems 48 (1992), 371-375.   DOI   ScienceOn
3 W.K. Min & M.H. Kim: Fuzzy r-minimal semiopen sets and fuzzy r-M semicontinuous functions on fuzzy r-minimal spaces. Proceedings of KIIS Spring Conference 2009 19 (2009), no. 1, 49-52.
4 Y.H. Yoo, W.K. Min & J.I. Kim: Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces. Far East Journal of Mathematical Sciences 33 (2009), no. 2, 193-205.
5 L.A. Zadeh: Fuzzy sets. Information and Control 8 (1965), 338-353.   DOI