Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Normal and exponential fuzzy probability for generalized trigonometric fuzzy sets

일반화된 삼각함수퍼지집합에 대한 정규 지수 퍼지확률

  • Jo, Yun Dong (Korea Institute for Curriculum and Evaluation) ;
  • Yun, Yong Sik (Department of Mathematics, Jeju National University)
  • Received : 2014.06.09
  • Accepted : 2014.06.23
  • Published : 2014.08.25
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Abstract

A generalized trigonometric fuzzy set is a generalization of a trigonometric fuzzy number. Zadeh([7]) defines the probability of the fuzzy event using the probability. We define the normal and exponential fuzzy probability on $\mathbb{R}$ using the normal and exponential distribution, respectively, and we calculate the normal and exponential fuzzy probability for generalized trigonometric fuzzy sets.

일반화된 삼각함수 퍼지집합은 삼각함수 퍼지수의 일반화이다. Zadeh([7])는 확률을 이용하여 퍼지이벤트에 대한 확률을 정의하였다. 우리는 정규분포와 지수분포를 각각 이용하여 실수 $\mathbb{R}$ 위에서 정규퍼지확률과 지수퍼지확률을 정의하고, 일반화된 삼각함수 퍼지집합에 대하여 정규퍼지확률과 지수퍼지확률을 계산하였다.

Keywords

Acknowledgement

Supported by : Jeju National University

References

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