East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NORMAL FUZZY PROBABILITY FOR TRAPEZOIDAL FUZZY SETS

  • Kim, Changil (Department of Mathematics Education, Dankook University) ;
  • Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences, Jeju National University)
  • Received : 2013.02.28
  • Accepted : 2013.04.02
  • Published : 2013.06.01
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Abstract

A fuzzy set A defined on a probability space (${\Omega}$, $\mathfrak{F}$, P) is called a fuzzy event. Zadeh defines the probability of the fuzzy event A using the probability P. We define the normal fuzzy probability on $\mathbb{R}$ using the normal distribution. We calculate the normal fuzzy probability for generalized trapezoidal fuzzy sets and give some examples.

Keywords

Acknowledgement

Supported by : Jeju National University

References

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