• 제목/요약/키워드: Choquet expected value

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퍼지수치 확률변수의 쇼케이 기댓값과 그 응용 (Choquet expected values of fuzzy number-valued random variables and their applications)

  • Lee, Chae-Jang;Kim, Tae-Kyun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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    • pp.394-397
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    • 2004
  • In this paper, we consider interval number-valued random variables and fuzzy number-valued random variables and discuss Choquet integrals of them. Using these properties, we define the Choquet expected value of fuzzy number-valued random variables which is a natural generalization of the Lebesgue expected value of Lebesgue expected value of fuzzy random variables. Furthermore, we discuss some application of them.

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퍼지수치 확률변수의 쇼케이 기댓값과 그 응용 (Choquet expected values of fuzzy number-valued random variables and their applications)

  • 장이채;김태균
    • 한국지능시스템학회논문지
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    • 제15권1호
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    • pp.98-103
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    • 2005
  • 본 논문에서는 구간수치 확률변수와 퍼지수치 확률변수를 생각하고 이들의 쇼케이 적분을 조사한다. 이러한 성질들을 이용하여 퍼지수치 확률변수의 르베그적분의 일반화인 퍼지수치 확률변수의 쇼케이 기대값을 정의한다. 특히 이들의 응용에 관한 예제들을 다룬다.

퍼지적분을 도입한 생태환경평가부문의 순위결정 (Rank Decision of Ecological Environment Assessment Field Introducing Fuzzy Integral)

  • 유주한;정성관;최원영;이우성
    • 한국조경학회지
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    • 제34권5호
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    • pp.39-51
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    • 2006
  • This study was carried out to provide guidance to environmental policy makers when deciding which assessment fields (biotic, abiotic, qualitative, functional) should have priority for ecological preservation and to develop an objective and scientific methodology by introducing the engineering concept of the fuzzy integral. The grant of weights was used the eigenvalues calculated by factor analysis, and the converted values of indicators were obtained in multiplying the arithmetic values and eigenvalues. The results of the appropriateness and reliability of assessment fields were examined over 0.6, and the results showed that the design of questionnaire presented no great problems. When the fuzzy integral was calculated to determine the rankings at ${\lambda}$=1, 2, 3, 4, 5, respectively, they were 0.646, 0.630, 0.943, 1.423, and 1.167 for the biotic field, 1.298, 1.400, 0.901, 0.580, and 1.456 for the abiotic field, 0.714, 0.674, 0.346, 0.674, and 1.610 in the qualitative field and 1.000, 0.973, 0.943, 1.024, and 1.008 in the functional field. The sensitivity to ${\lambda}$ value showed that ${\lambda}=4$ was the most suitable. In comparison with ${\lambda}=0$ (the arithmetic mean), the range of change was narrow. Because the range for ${\lambda}=4$ was narrower than my other values, ${\lambda}=4$ was sure to be available in ranking-decision. The fuzzy integral is expected to be a method for analyzing and filtering human thoughts. In the future, in order to overcome linguistic uncertainty and subjectivity, other fuzzy integral models including Sugeno's method, AHP, and so forth should be used.