International Journal of Fuzzy Logic and Intelligent Systems

  • 제8권3호
  • /
  • Pages.202-206
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  • 2008
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Interval- Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • 발행 : 2008.09.01
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초록

We introduce the concept of interval-valued minimal structure which is an extension of the interval-valued fuzzy topology. And we introduce and study the concepts of IVF m-continuous and several types of compactness on the interval-valued fuzzy m-spaces.

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참고문헌

  1. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and System, 20(1), (1986), pp. 87-96 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, 27, (2006), pp. 599-605 https://doi.org/10.1016/j.chaos.2005.04.049
  3. M. B. Gorzalczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21, (1987) pp. 1-17 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 map-pings, Honam Math. J., 28(2), (2006) pp. 241-259
  5. T. K. Mondal and S. K. Samanta, Topology of interval-valued fuzzy sets , Indian J. Pure Appl. Math., 30(1), (1999) pp. 23-38
  6. L. A. Zadeh, Fuzzy sets, Inform. and Control, 8, (1965) pp. 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. Characterizations For Interval-Valued Fuzzy m-semicontinuous Mappings On Interval-Valued Fuzzy Minimal Spaces vol.19, pp.6, 2009, https://doi.org/10.5391/JKIIS.2009.19.6.848
  2. On Interval-Valued Fuzzy Weakly M-continuous Mappings vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.128
  3. -continuous Mappings on Interval-Valued Fuzzy Minimal Spaces vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.133