• Title/Summary/Keyword: Fuzzy C-means clustering

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Cluster Analysis Algorithms Based on the Gradient Descent Procedure of a Fuzzy Objective Function

  • Rhee, Hyun-Sook;Oh, Kyung-Whan
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.191-196
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    • 1997
  • Fuzzy clustering has been playing an important role in solving many problems. Fuzzy c-Means(FCM) algorithm is most frequently used for fuzzy clustering. But some fixed point of FCM algorithm, know as Tucker's counter example, is not a reasonable solution. Moreover, FCM algorithm is impossible to perform the on-line learning since it is basically a batch learning scheme. This paper presents unsupervised learning networks as an attempt to improve shortcomings of the conventional clustering algorithm. This model integrates optimization function of FCM algorithm into unsupervised learning networks. The learning rule of the proposed scheme is a result of formal derivation based on the gradient descent procedure of a fuzzy objective function. Using the result of formal derivation, two algorithms of fuzzy cluster analysis, the batch learning version and on-line learning version, are devised. They are tested on several data sets and compared with FCM. The experimental results show that the proposed algorithms find out the reasonable solution on Tucker's counter example.

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Optimization of Fuzzy Systems by Means of GA and Weighting Factor (유전자 알고리즘과 하중값을 이용한 퍼지 시스템의 최적화)

  • Park, Byoung-Jun;Oh, Sung-Kwun;Ahn, Tae-Chon;Kim, Hyun-Ki
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.789-799
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    • 1999
  • In this paper, the optimization of fuzzy inference systems is proposed for fuzzy model of nonlinear systems. A fuzzy model needs to be identified and optimized by means of the definite and systematic methods, because a fuzzy model is primarily acquired by expert's experience. The proposed rule-based fuzzy model implements system structure and parameter identification using the HCM(Hard C-mean) clustering method, genetic algorithms and fuzzy inference method. Two types of inference methods of a fuzzy model are the simplified inference and linear inference. in this paper, nonlinear systems are expressed using the identification of structure such as input variables and the division of fuzzy input subspaces, and the identification of parameters of a fuzzy model. To identify premise parameters of fuzzy model, the genetic algorithms is used and the standard least square method with the gaussian elimination method is utilized for the identification of optimum consequence parameters of fuzzy model. Also, the performance index with weighting factor is proposed to achieve a balance between the performance results of fuzzy model produced for the training and testing data set, and it leads to enhance approximation and predictive performance of fuzzy system. Time series data for gas furnace and sewage treatment process are used to evaluate the performance of the proposed model.

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Clustering Method for Reduction of Cluster Center Distortion (클러스터 중심 왜곡 저감을 위한 클러스터링 기법)

  • Jeong, Hye-C.;Seo, Suk-T.;Lee, In-K.;Kwon, Soon-H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.3
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    • pp.354-359
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    • 2008
  • Clustering is a method to classify the given data set with same property into several classes. To cluster data, many methods such as K-Means, Fuzzy C-Means(FCM), Mountain Method(MM), and etc, have been proposed and used. But the clustering results of conventional methods are sensitively influenced by initial values given for clustering in each method. Especially, FCM is very sensitive to noisy data, and cluster center distortion phenomenon is occurred because the method dose clustering through minimization of within-clusters variance. In this paper, we propose a clustering method which reduces cluster center distortion through merging the nearest data based on the data weight, and not being influenced by initial values. We show the effectiveness of the proposed through experimental results applied it to various types of data sets, and comparison of cluster centers with those of FCM.

An Improved Automated Spectral Clustering Algorithm

  • Xiaodan Lv
    • Journal of Information Processing Systems
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    • v.20 no.2
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    • pp.185-199
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    • 2024
  • In this paper, an improved automated spectral clustering (IASC) algorithm is proposed to address the limitations of the traditional spectral clustering (TSC) algorithm, particularly its inability to automatically determine the number of clusters. Firstly, a cluster number evaluation factor based on the optimal clustering principle is proposed. By iterating through different k values, the value corresponding to the largest evaluation factor was selected as the first-rank number of clusters. Secondly, the IASC algorithm adopts a density-sensitive distance to measure the similarity between the sample points. This rendered a high similarity to the data distributed in the same high-density area. Thirdly, to improve clustering accuracy, the IASC algorithm uses the cosine angle classification method instead of K-means to classify the eigenvectors. Six algorithms-K-means, fuzzy C-means, TSC, EIGENGAP, DBSCAN, and density peak-were compared with the proposed algorithm on six datasets. The results show that the IASC algorithm not only automatically determines the number of clusters but also obtains better clustering accuracy on both synthetic and UCI datasets.

Tracking Detection using Information Granulation-based Fuzzy Radial Basis Function Neural Networks (정보입자기반 퍼지 RBF 뉴럴 네트워크를 이용한 트랙킹 검출)

  • Choi, Jeoung-Nae;Kim, Young-Il;Oh, Sung-Kwun;Kim, Jeong-Tae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2520-2528
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    • 2009
  • In this paper, we proposed tracking detection methodology using information granulation-based fuzzy radial basis function neural networks (IG-FRBFNN). According to IEC 60112, tracking device is manufactured and utilized for experiment. We consider 12 features that can be used to decide whether tracking phenomenon happened or not. These features are considered by signal processing methods such as filtering, Fast Fourier Transform(FFT) and Wavelet. Such some effective features are used as the inputs of the IG-FRBFNN, the tracking phenomenon is confirmed by using the IG-FRBFNN. The learning of the premise and the consequent part of rules in the IG-FRBFNN is carried out by Fuzzy C-Means (FCM) clustering algorithm and weighted least squares method (WLSE), respectively. Also, Hierarchical Fair Competition-based Parallel Genetic Algorithm (HFC-PGA) is exploited to optimize the IG-FRBFNN. Effective features to be selected and the number of fuzzy rules, the order of polynomial of fuzzy rules, the fuzzification coefficient used in FCM are optimized by the HFC-PGA. Tracking inference engine is implemented by using the LabVIEW and loaded into embedded system. We show the superb performance and feasibility of the tracking detection system through some experiments.

Classification of Fuzzy Logic on the Optimized Bead Geometry in the Gas Metal Arc Welding

  • Yu Xue;Kim, Ill-Soo;Park, Chang-Eun;Kim, In-Ju;Son, Joon-Sik
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.10a
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    • pp.225-232
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    • 2004
  • Recently, there has been a rapid development in computer technology, which has in turn led to develop the automated welding system using Artificial Intelligence (AI). However, the automated welding system has not been achieved duo to difficulties of the control and sensor technologies. In this paper, the classification of the optimized bead geometry such as bead width, height penetration and bead area in the Gas Metal Arc (GMA) welding with fuzzy logic is presented. The fuzzy C-Means algorithm (FCM), which is best known an unsupervised fuzzy clustering algorithm is employed here to analysis the specimen of the bead geometry. Then the quality of the GMA welding can be classified by this fuzzy clustering technique and the choice for obtaining the optimal bead geometry can also be determined.

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A Study on the Classification of Ports and its Characteristics using Fuzzy C-Means (FCM법에 의한 항만의 분류 및 그 특성 분석에 관한 연구)

  • 금종수;윤명오;양원재
    • Journal of Korean Port Research
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    • v.14 no.2
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    • pp.143-154
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    • 2000
  • In port management, the scale of facilities and port layouts are major factors characterizing the port, which influence port economics and productivities continuously through the port operation. Grouping ports in certain region by their characteristics could be used as the principal informations to establish national policy for port development or investment and also to analyze the competitiveness between ports. Currently Korean ports are divided into two groups such as the local port and the designated port containing foreign trade port and coastal port under the Korean port law. These divisions seem to be used for port administration as the matter of convenience but some qualitative grouping is needed for research of port problems. In this paper, 20 major Korean ports were clustered by the similar characteristics using Fuzzy C-Means and found to be classified 8 qualitative groups.

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A Context-Aware Information Service using FCM Clustering Algorithm and Fuzzy Decision Tree (FCM 클러스터링 알고리즘과 퍼지 결정트리를 이용한 상황인식 정보 서비스)

  • Yang, Seokhwan;Chung, Mokdong
    • Journal of Korea Multimedia Society
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    • v.16 no.7
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    • pp.810-819
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    • 2013
  • FCM (Fuzzy C-Means) clustering algorithm, a typical split-based clustering algorithm, has been successfully applied to the various fields. Nonetheless, the FCM clustering algorithm has some problems, such as high sensitivity to noise and local data, the different clustering result from the intuitive grasp, and the setting of initial round and the number of clusters. To address these problems, in this paper, we determine fuzzy numbers which project the FCM clustering result on the axis with the specific attribute. And we propose a model that the fuzzy numbers apply to FDT (Fuzzy Decision Tree). This model improves the two problems of FCM clustering algorithm such as elevated sensitivity to data, and the difference of the clustering result from the intuitional decision. And also, this paper compares the effect of the proposed model and the result of FCM clustering algorithm through the experiment using real traffic and rainfall data. The experimental results indicate that the proposed model provides more reliable results by the sensitivity relief for data. And we can see that it has improved on the concordance of FCM clustering result with the intuitive expectation.

A Study On The Optimum Node Deployment In The Wireless Sensor Network System (무선 센서 네트워크의 최적화 노드배치에 관한 연구)

  • Choi, Weon-Gap;Park, Hyung-Moo
    • Journal of IKEEE
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    • v.11 no.3
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    • pp.100-107
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    • 2007
  • One of the fundamental problems in wireless sensor networks is the efficient deployment of sensor nodes. The Fuzzy C-Means(FCM) clustering algorithm is proposed to determine the optimum location and minimum number of sensor nodes for the specific application space. We performed a simulation and a experiment using two rectangular and one L shape area. We found the minimum number of sensor nodes for the complete coverage of modeled area, and discovered the optimum location of each nodes. The real deploy experiment using sensor nodes shows the 94.6%, 92.2% and 95.7% error free communication rate respectively.

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Driving Characteristics Classification of TCS Data Based on Fuzzy c-means Clustering Algorithm (Fuzzy c-means 알고리즘을 이용한 TCS 데이터 주행특성 분류 방법 연구)

  • Park, Won-Sik;Kim, Dong-Keun;Yang, Young-Kyu
    • Proceedings of the Korea Information Processing Society Conference
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    • 2009.04a
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    • pp.1021-1024
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    • 2009
  • 현재 사용되고 있는 통행시간 분류방법은 하나의 통행시간을 대푯값으로 가지고 있다. 이에 문제점은 고속도로 특성으로 규정 속도 이상의 속도로 주행하는 차량, 규정 속도 및 휴게소 이용차량, 운전자의 운전 습성, 통행 목적, 피로의 정도, 운전자 성향과 도로상황에 따라 통행시간이 다르게 나타나는 점이다. TCS(Toll Collection System) 자료는 고속도로의 다양한 특성이 포함되어 있으며, 대상 구간의 거리가 멀수록 목적지에 도달하는 통행시간의 분산이 커지는 특성 또한 보인다. 따라서 이를 처리하기 위한 효율적인 통행시간 분류, 구간대표통행시간 추출 알고리즘이 필요하다. 기존의 방법은 전체 통행차량의 통행시간을 감안한 방법으로 통행시간 예측시 정확성이 저하된다. 본 연구에서는 TCS 자료를 Fuzzy c-means 알고리즘을 이용하여 일일 고속도로 통행시간의 시간별 주행특성을 고려한 대푯 값을 추출하는 알고리즘을 제안하였다. 실제 서울-청주 구간을 운행한 TCS 자료를 가지고 실시한 실험으로, 주행특성 및 도로상황을 고려한 Fuzzy c-means를 이용한 통행시간 분류방법과 기존의 통행시간 분류 방법을 통한 통행시간을 PIFAB를 사용 TCS 자료의 실제 통행시간과 경로통행시간을 비교 평가하였다. 평가한 결과 본 연구에서 제안하는 Fuzzy c-means기법은 기존 방법인 MAD기법보다 75%, 신뢰구간(95%) 추출법 대비 81%의 정확성을 제고하였다.