• Title/Summary/Keyword: exponential fuzzy probability

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Normal and exponential fuzzy probability for generalized trigonometric fuzzy sets (일반화된 삼각함수퍼지집합에 대한 정규 지수 퍼지확률)

  • Jo, Yun Dong;Yun, Yong Sik
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.4
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    • pp.398-402
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    • 2014
  • 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.

ON THE EXPONENTIAL FUZZY PROBABILITY

  • Yun Yong-Sik;Song Jae-Choong;Ryu Sang-Uk
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.385-395
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    • 2006
  • We study the exponential fuzzy probability for quadratic fuzzy number and trigonometric fuzzy number defined by quadratic function and trigonometric function, respectively. And we calculate the exponential fuzzy probabilities for fuzzy numbers driven by operations.