International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Interval-Valued Fuzzy Almost M-Continuous Mapping On Interval-Valued Fuzzy Topological Spaces

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • Received : 2009.11.22
  • Accepted : 2009.12.10
  • Published : 2010.06.25
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Abstract

We introduce the concept of IVF almost M-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost M-continuous mapping and IVF compactness.

Keywords

References

  1. M. B. Gorzalczany, "A Method of Inference in Approximate Reasoning Based on Interval-Valued Fuzzy Sets", J. Fuzzy Math. vol. 21, pp. 1-17, 1987.
  2. Y. B. Jun, G. C. Kang and M.A. Ozturk "Interval-­Valued Fuzzy Semiopen, Preopen and ${\alpha}$-open map­pings", Honam Math. J., vol. 28, no. 2, pp. 241-259, 2006.
  3. J. I. Kim, W. K. Min and Y. H. Yoo, "IVF Al­most Continuous Mappings On The IVF Topological Spaces", Far East Journal of Mathematical Sciences, vol. 34, no. 1, pp. 13-23, 2009.
  4. 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). https://doi.org/10.5391/IJFIS.2008.8.3.202
  5. W. K. Min, "On IVF Weakly Continuous Mappings On The Interval-Valued Fuzzy Topological Spaces", Honam Math. J., vol. 30, no. 3, pp. 557-566, 2008. https://doi.org/10.5831/HMJ.2008.30.3.557
  6. W. K. Min, "On Interval-Valued Fuzzy Weakly M-­continuous Mappings", International Journal of Fuzzy Logic and Intelligent Systems, vol. 9, no. 2, pp. 128-132, (2009). https://doi.org/10.5391/IJFIS.2009.9.2.128
  7. W. K. Min and M. H. Kim, "Interval-Valued Fuzzy M-Continuity and Interval-Valued Fuzzy M$^{*}$-open mappings", International Journal of Fuzzy Logic and Intelligent Systems, vol. 9, no. 1, pp. 47-52, (2009). https://doi.org/10.5391/IJFIS.2009.9.1.047
  8. 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.
  9. L. A. Zadeh, "Fuzzy sets", Information and Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X