Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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The concept of σ-morphism as a probability measure on the set of effects

이펙트 집합에서 확률측도로서 시그마 모르피즘 개념

  • Yun, Yong-Sik (Department of Mathematics, Jeju National University) ;
  • Kang, Kyoung-Hun (Department of Mathematics, Jeju National University) ;
  • Park, Jin-Won (Department of Mathematics Education, Jeju National University)
  • Received : 2009.02.10
  • Accepted : 2009.06.03
  • Published : 2009.06.25
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Abstract

In this paper, we introduce the concepts of effects and observable as generalizations of event and random variable, respectively. Also, we introduce the concept of $\sigma$-morphism and we investigate some results on $\sigma$-morphism as a probability measure on the set of effects.

이 논문에서는 사건과 확률변수를 각각 일반화한 이펙트와 옵저버블을 소개하였다. 그리고 $\sigma$-함수의 개념을 소개하고 이펙트 집합위에서의 확률측도로서의 $\sigma$-함수의 성질을 조사하였다.

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References

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