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http://dx.doi.org/10.5391/JKIIS.2009.19.5.695

Fuzzy r-Generalized Open Sets and Fuzzy r-Generalized Continuity  

Min, Won-Keun (강원대학교 수학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.5, 2009 , pp. 695-698 More about this Journal
Abstract
In this paper, we introduce the concept of fuzzy r-generalized open sets which are generalizations of fuzzy r-open sets defined by Lee and Lee [2] and obtain some basic properties of their structures. Also we introduce and study the concepts of fuzzy r-generalized continuous mapping, fuzzy r-generalized open mapping and fuzzy r-generalized closed mapping.
Keywords
fuzzy generalized topological space; fuzzy r-generalized open set; fuzzy r-generalized continuous; fuzzy r-generalized open mapping; fuzzy r-generalized closed mapping;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 A. A. Ramadan, 'Smooth topological spaces', Fuzzy Sets and Systems, vol. 48, pp. 371-375, 1992   DOI   ScienceOn
2 L. A. Zadeh, 'Fuzzy sets', Inform. and Control, vol. 8, pp. 338-353, 1965   DOI
3 S. J. Lee and E. P. Lee, 'Fuzzy $\gamma$-continuous and $\gamma$-semicontinuous maps', Int. J. Math. Math. Sci., vol. 27, no. 1, pp. 53-63, 2001   DOI   ScienceOn
4 C. L. Chang, 'Fuzzy topological spaces', J. Math. Anal. Appl., Vol. 24, pp. 182-190, 1968   DOI
5 W. K. Min, 'Fuzzy generalized topological spaces', J. Fuzzy Logic and Intelligent Systems, vol 19, no. 3, pp. 404-407, 2009