Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2010.05.12
  • Accepted : 2010.08.12
  • Published : 2010.09.30
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Abstract

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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References

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