• 제목/요약/키워드: Fuzzy measures

검색결과 219건 처리시간 0.02초

On Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure of Fuzzy Complex Valued Functions

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권3호
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    • pp.224-229
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    • 2010
  • In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.

Quality Measures for Image Comparison Based on Correlation of Fuzzy Sets

  • Vlachos, Ioannis K.;Sergiadis, George D.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.563-566
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    • 2003
  • Quality measures play an important role in the field of image processing. Such measures are commonly used to assess the performance of different algorithms that are designed to perform a specific image processing task. In this paper we propose two novel measures for image quality assessment based on the notion of correlation between fuzzy sets. Two different definitions fur the correlation between fuzzy sets have been used. In order to calculate the proposed quality measures two approaches were evaluated, one with direct application of the measures to the image′s pixels and the other using the fuzzy set corresponding to the normalized histogram of the image. A comparative study of the proposed measures is performed by investigating their behavior using images with different types of distortions, such as impulsive "salt at pepper" noise, additive white Gaussian noise, multiplicative speckle noise, blurring, gamma distortion, and JPEG compression.

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쇼케 이적분과 퍼지 측도 (Choquet integrals and fuzzy measures)

  • 장이채
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.39-45
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    • 2005
  • 이 논문발표에서는 퍼지측도와 쇼케이적분을 소개하고 지금까지 나은 결과들과 앞으로 가능한 응용들에 대해서 소개하고자한다.

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A similarity measure of fuzzy sets

  • Kwon, Soon H.
    • 한국지능시스템학회논문지
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    • 제11권3호
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    • pp.270-274
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    • 2001
  • 지금까지 제안된 유사도 척도는 첫째, 기하학적 유사도 척도, 둘째, 집합론적 유사도 척도, 그리고 마지막으로 일치 함수를 이용한 유사도 척도와 같이 세 종류로 분류될 수 있다. 본 논문에서는 이러한 기존의 유사도 척도가 갖는 여러 가지 성질에 근거하여 퍼지 집합에 관한 새로운 유사도 척도를 제안하고 이의 성질을 알아본다. 마지막으로, 예제를 통하여 제안된 유사도 척도와 기존의 유사도 척도의 특성을 비교한다.

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퍼지 유사도 척도 (Fuzzy Similarity Measure)

  • 이광형
    • 한국지능시스템학회논문지
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    • 제8권6호
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    • pp.119-121
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    • 1998
  • 퍼지 시스템의 퍼지 하이퍼그래프에 의해서 표현되었다고 할때, 퍼지 집합을 나타내는 퍼지 에지사이의 유사도를 측정할 필요가 있다. 또한 원소들 사이의 유사도를 측정할 필요가 있다. 본 논문은 이런 필요성에 따라서 퍼지 유사도를 측정하는 척도를 제안한다. 하나는 퍼지 집합 사이의 유사도를 측정하고, 또 하나는 원소 사이의 퍼지 유사도를 측정해 준다. 이 척도는 퍼지집합과 원소 개개의 유사성을 중시하고 시스템 분석 분야에서 이용될 수 있다.

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Information Quantification Application to Management with Fuzzy Entropy and Similarity Measure

  • Wang, Hong-Mei;Lee, Sang-Hyuk
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권4호
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    • pp.275-280
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    • 2010
  • Verification of efficiency in data management fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem and numerical data similarity evaluation. In order to calculate the certainty or uncertainty fuzzy entropy and similarity measure are designed and proved. Designed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration. Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.

Information Management by Data Quantification with FuzzyEntropy and Similarity Measure

  • Siang, Chua Hong;Lee, Sanghyuk
    • 한국융합학회논문지
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    • 제4권2호
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    • pp.35-41
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    • 2013
  • Data management with fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem. Calculation of certainty or uncertainty for data, fuzzy entropy and similarity measure are designed and proved. Proposed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration.Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.

FUZZY RISK MEASURES AND ITS APPLICATION TO PORTFOLIO OPTIMIZATION

  • Ma, Xiaoxian;Zhao, Qingzhen;Liu, Fangai
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.843-856
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    • 2009
  • In possibility framework, we propose two risk measures named Fuzzy Value-at-Risk and Fuzzy Conditional Value-at-Risk, based on Credibility measure. Two portfolio optimization models for fuzzy portfolio selection problems are formulated. Then a chaos genetic algorithm based on fuzzy simulation is designed, and finally computational results show that the two risk measures can play a role in possibility space similar to Value-at-Risk and Conditional Value-at-Risk in probability space.

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Similarity Classifier based on Schweizer & Sklars t-norms

  • Luukka, P.;Sampo, J.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1053-1056
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    • 2004
  • In this article we have applied Schweizer & Sklars t-norm based similarity measures to classification task. We will compare results to fuzzy similarity measure based classification and show that sometimes better results can be found by using these measures than fuzzy similarity measure. We will also show that classification results are not so sensitive to p values with Schweizer & Sklars measures than when fuzzy similarity is used. This is quite important when one does not have luxury of tuning these kind of parameters but needs good classification results fast.

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