International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Interval-Valued Fuzzy M-Continuity and Interval-Valued Fuzzy M*-open mappings

  • Published : 2009.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

We introduce the concepts of interval-valued fuzzy M-continuity and interval-valued fuzzy M$^*$(M)-open mappings. And we study some characterizations and basic properties of such functions.

Keywords

References

  1. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and System, vol. 20, no.1, pp. 87-96, 1986 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. M. Alimohammady and M. Roohi, "Fuzzy minimal structure and fuzzy minimal vector spaces," Chaos, Solutions and Fractals, vol. 27, pp. 599-605, 2006 https://doi.org/10.1016/j.chaos.2005.04.049
  3. M. B. Gorzalczany, "A mεthod of inference in approximate reasoning based on interval-valued fuzzy sets," Fuzzy Sets and Systems, vol. 21, pp. 1-17, 1987 https://doi.org/10.1016/0165-0114(87)90148-5
  4. Y. B. Jun, G. C. Kang and M.A. Ozturk "Intervalvalued fuzzy semiopen， preopen and $\alpha$-open mappings," Honam Math. J., vol. 28, no.2, pp. 241-259, 2006
  5. 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
  6. 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
  7. L. A. Zadeh, "Fuzzy sets," Inform. and Control, vol. 8, pp.338-353, 1965 https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. On Interval-Valued Fuzzy Weakly M-continuous Mappings vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.128
  2. -continuous Mappings on Interval-Valued Fuzzy Minimal Spaces vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.133