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http://dx.doi.org/10.5391/IJFIS.2011.11.1.033

Interval-Valued Fuzzy mβ-continuous mappings on Interval-Valued Fuzzy Minimal Spaces  

Min, Won-Keun (Department of Mathematics, Kangwon National University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.1, 2011 , pp. 33-37 More about this Journal
Abstract
We introduce the concepts of interval-valued fuzzy m${\beta}$-open sets and interval-valued fuzzy m${\beta}$-continuous mappings. And we study some characterizations and properties of such concepts.
Keywords
interval-valued fuzzy minimal spaces; interval-valued fuzzy m${\beta}$-open sets; interval-valued fuzzy m${\beta}$-continuous mappings;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 L. A. Zadeh, ”Fuzzy sets”, Inform. and Control, vol. 8, pp. 338–353, 1965.   DOI
2 Y. B. Jun, S. S. Kim and C. S. Kim ”Interval-valued fuzzy semi-preopen sets and interval-valued fuzzy semi-precontinuos mappings”, Honam Math. J., vol.29, no. 2, pp. 223–244, 2007.   DOI   ScienceOn
3 K. T. Atanassov, ”Intuitionistic fuzzy sets”, Fuzzy Sets and System, vol. 20, no. 1, pp. 87–96, 1986.   DOI   ScienceOn
4 M. Alimohammady and M. Roohi, ”Fuzzy minimal structure and fuzzy minimal vector spaces”, Chaos,Solutions and Fractals, vol. 27, pp. 599–605, 2006.   DOI   ScienceOn
5 M. B. Gorzalczany, ”A method of inference in approximate reasoning based on interval-valued fuzzy sets”, Fuzzy Sets and Systems, vol. 21, pp. 1–17, 1987.   DOI   ScienceOn
6 W. K. Min, ”Interval-Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces”, International Journal of Fuzzy Logic and Intelligent Systems, vol. 8, no. 3, pp. 202-206, 2008.   DOI   ScienceOn
7 W. K. Min, M. H. Kim and J. I. Kim, ”Interval-Valued Fuzzy m-semiopen sets and Interval-Valued Fuzzy m-preopen sets on Interval-Valued Fuzzy Minimal Spaces”, Honam Mathetical J., vol. 31(1), (2009) pp. 31–43.   DOI   ScienceOn
8 W. K. Min and Y. H. Yoo, ”Interval-Valued Fuzzy $m{\alpha}$-continuous mappings on Interval-Valued Fuzzy Minimal Spaces”, International Journal of Fuzzy Logic and Intelligent Systems, vol. 10, no. 1, pp. 54-58, 2010.   DOI   ScienceOn
9 T. K. Mondal and S. K. Samanta, ”Topology of interval-valued fuzzy sets”, Indian J. Pure Appl. Math., vol. 30, no. 1, pp. 23–38, 1999.