• 제목/요약/키워드: Fuzzy measures

검색결과 219건 처리시간 0.025초

퍼지 가중 평균을 이용한 다중 센서 데이타 융합 (Multisensor Data Combination Using Fuzzy Weighted Average)

  • 김완주;고중협;정명진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1993년도 하계학술대회 논문집 A
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    • pp.383-386
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    • 1993
  • In this paper, we propose a sensory data combination method by a fuzzy number approach for multisensor data fusion. Generally, the weighting of one sensory data with respect to another is derived from measures of the relative reliabilities of the two sensory modules. But the relative weight of two sensory data can be approximately determined through human experiences or insufficient experimental data without difficulty. We represent these relative weight using appropriate fuzzy numbers as well as sensory data itself. Using the relative weight, which is subjective valuation, and a fuzzy-numbered sensor data, the fuzzy weighted average method is used for a representative sensory data. The manipulation and calculation of fuzzy numbers can be carried out using the Zadeh's extension principle which can be approximately implemented by the $\alpha$-cut representation of fuzzy numbers and interval analysis.

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Image Denoising via Fast and Fuzzy Non-local Means Algorithm

  • Lv, Junrui;Luo, Xuegang
    • Journal of Information Processing Systems
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    • 제15권5호
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    • pp.1108-1118
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    • 2019
  • Non-local means (NLM) algorithm is an effective and successful denoising method, but it is computationally heavy. To deal with this obstacle, we propose a novel NLM algorithm with fuzzy metric (FM-NLM) for image denoising in this paper. A new feature metric of visual features with fuzzy metric is utilized to measure the similarity between image pixels in the presence of Gaussian noise. Similarity measures of luminance and structure information are calculated using a fuzzy metric. A smooth kernel is constructed with the proposed fuzzy metric instead of the Gaussian weighted L2 norm kernel. The fuzzy metric and smooth kernel computationally simplify the NLM algorithm and avoid the filter parameters. Meanwhile, the proposed FM-NLM using visual structure preferably preserves the original undistorted image structures. The performance of the improved method is visually and quantitatively comparable with or better than that of the current state-of-the-art NLM-based denoising algorithms.

Feature extraction with distance measures and fuzzy entropy

  • Lee, Sang-Hyuk;Kim, Sung-Shin;Hyeon Bae;Kim, Youn-Tae
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.543-546
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    • 2003
  • Representation and quantification of fuzziness are required for the uncertain system modelling and controller design. Conventional results show that entropy of fuzzy sets represent the fuzziness of fuzzy sets. In this literature, the relations of fuzzy enropy, distance measure and similarity measure are discussed, and distance measure is proposed. With the help of relations of fuzzy entropy, distance measure and similarity measure, fuzzy entropy is proposed by the distance measure. Finally, proposed entropy is applied to measure the fault signal of induction machine.

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퍼지 컬러 모델의 비퍼지화 방법과 거리 척도의 제안 (A Note on the Defuzzification Method and Distance Metric of Fuzzy Color Model)

  • Kim, Dae-Won;Lee, Kwang H.
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2001년도 가을 학술발표논문집 Vol.28 No.2 (2)
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    • pp.40-42
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    • 2001
  • Most people have to deal with color and color problems occasionally. There are many strange things about color and color vision that most people do not notice. Even though color seems intuitive and simple it is not. In this paper, we modeled the color using fuzzy set theory. The proposed fuzzy color model is based on the Munsell color space. We defined several fuzzy color terminologies, and proposed a extended center of gravity defuzzification mthod for fuzzy color set. Finally, three distance measures between fuzzy colors were also formulated.

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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.

퍼지수치 퍼지수 상의 쇼케이 거리측도에 관한 성질 (A note on the Choquet distance measures for fuzzy number-valued fuzzy numbers)

  • 장이채;김원주
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 춘계학술대회 학술발표 논문집 제16권 제1호
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    • pp.365-369
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    • 2006
  • 구간치 퍼지집합은 Gorzalczang(1983)과 Turken(1986)에 의해 처음 제의되었다. 이를 토대로 Wang과 Li는 구간치 퍼지수에 관한 연산으로 일반화 하여 연구하였다. 최근에 홍(2002)는 왕과 리의 이론을 리만적분에 의해 구간치 퍼지집합상의 거리측도에 관한 연구를 하였다. 우리는 일반측도와 관련된 리만적분 대신에 퍼지측도와 관련된 쇼케이적분을 이용한 구간치 퍼지수 상의 쇼케이 거리측도를 연구하였다(2005). 본 논문에서는 퍼지수에서 퍼지수로의 쇼케이 거리측도를 정의하고 이와 관련된 성질들을 조사하였다.

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퍼지 성능 측정자를 이용한 적응 데이터 마이닝 모델 (Adaptive Data Mining Model using Fuzzy Performance Measures)

  • 이현숙
    • 정보처리학회논문지B
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    • 제13B권5호
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    • pp.541-546
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    • 2006
  • 데이터 마이닝은 방대한 양의 데이터를 다루는 응용영역에서 학습과 함께 연구되어 실세계의 문제를 해결할 수 있는 구체적인 방법을 제시해 주고 있다. 데이터 마이닝을 위한 보편적인 방법으로 사용되어 온 클러스터 분석 방법은 데이터의 양이 많아질수록, 실세계에서 직접 얻은 데이터일수록 경계가 불분명하고 처리과정에서 많은 오차가 발생하게 되어 직접 적용하고자할 때 고려해야할 점이 많다. 이를 위하여 퍼지 개념이 도입된 퍼지 클러스터링 방법론은 클러스터 타당성문제와 함께 널리 연구되어왔다. 본 논문에서는 클러스터링의 결과가 만들어 내는 오류 값을 최소화하는 방향으로 학습하는 비교사 학습신경망에 의하여 클러스터링이 이루어지고 이를 퍼지 성능 측정자에 의하여 평가하면서 최적의 클러스터 수를 찾아가는 적응형 데이터 마이닝 모델을 제안하고자 한다 또한 뉴스그룹의 텍스트 데이터를 처리하여 문서분류에 활용할 수 있음을 보임으로 제안된 모델의 타당성을 확인하고자 한다.

A NEW EXPONENTIAL DIRECTED DIVERGENCE INFORMATION MEASURE

  • JAIN, K.C.;CHHABRA, PRAPHULL
    • Journal of applied mathematics & informatics
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    • 제34권3_4호
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    • pp.295-308
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    • 2016
  • Depending upon the nature of the problem, different divergence measures are suitable. So it is always desirable to develop a new divergence measure. In the present work, new information divergence measure, which is exponential in nature, is introduced and characterized. Bounds of this new measure are obtained in terms of various symmetric and non- symmetric measures together with numerical verification by using two discrete distributions: Binomial and Poisson. Fuzzy information measure and Useful information measure corresponding to new exponential divergence measure are also introduced.

Reduction of Fuzzy Rules and Membership Functions and Its Application to Fuzzy PI and PD Type Controllers

  • Chopra Seema;Mitra Ranajit;Kumar Vijay
    • International Journal of Control, Automation, and Systems
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    • 제4권4호
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    • pp.438-447
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    • 2006
  • Fuzzy controller's design depends mainly on the rule base and membership functions over the controller's input and output ranges. This paper presents two different approaches to deal with these design issues. A simple and efficient approach; namely, Fuzzy Subtractive Clustering is used to identify the rule base needed to realize Fuzzy PI and PD type controllers. This technique provides a mechanism to obtain the reduced rule set covering the whole input/output space as well as membership functions for each input variable. But it is found that some membership functions projected from different clusters have high degree of similarity. The number of membership functions of each input variable is then reduced using a similarity measure. In this paper, the fuzzy subtractive clustering approach is shown to reduce 49 rules to 8 rules and number of membership functions to 4 and 6 for input variables (error and change in error) maintaining almost the same level of performance. Simulation on a wide range of linear and nonlinear processes is carried out and results are compared with fuzzy PI and PD type controllers without clustering in terms of several performance measures such as peak overshoot, settling time, rise time, integral absolute error (IAE) and integral-of-time multiplied absolute error (ITAE) and in each case the proposed schemes shows an identical performance.