충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권3호
  • /
  • Pages.511-521
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  • 2010
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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THE MEAN VALUE AND VARIANCE OF ONE-SIDED FUZZY SETS

  • Park, Jin Won (Department of Mathematics Education Jeju National University) ;
  • Yun, Yong Sik (Department of Mathematics Jeju National University) ;
  • Kang, Kyoung Hun (Department of Mathematics Jeju National University)
  • 투고 : 2010.05.12
  • 심사 : 2010.08.12
  • 발행 : 2010.09.30
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초록

In this paper, we define the one-sided fuzzy set and we calculate the mean value and variance, defined by C. Carlsson and R. $Full{\acute{e}}r$, of this fuzzy set. And we obtain a result that, in some special case, the mean of the product of two fuzzy sets is the product of means of each fuzzy sets. This result can be considered as the similar result which is well-known in the independence of events in probability theory.

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참고문헌

  1. Christer Carlsson and Robert Fuller, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122 (2001), 315-326. https://doi.org/10.1016/S0165-0114(00)00043-9
  2. D. Dubois and H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems 24 (1987), 279-300. https://doi.org/10.1016/0165-0114(87)90028-5
  3. R. Goetschel and W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems 18 (1986), 31-43. https://doi.org/10.1016/0165-0114(86)90026-6
  4. L. A. Zadeh, Fuzzy Sets, Inform. and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X