tailieunhanh - Entropy-based intuitionistic fuzzy C-means clustering

Utilizing the advantages of the intuitionistic fuzzy sets and fuzzy sets, which are combined in the proposed method, to overcome some drawbacks of the conventional FCM in handling uncertainties or hesitant and also resolve the fuzziness. Experimental results show that the proposed algorithm is better than the traditional fuzzy clustering algorithms. | Information technology Applied mathematics ENTROPY-BASED INTUITIONISTIC FUZZY C-MEANS CLUSTERING Truong Quoc Hung Nguyen Anh Cuong Nguyen Dinh Dzung Abstract With the rapid development of the uncertain or hesitant and fuzziness datasets an entropy-based intuitionistic fuzzy c-means clustering EIFCM method is proposed based on the intuitionistic fuzzy sets IFS for the clustering problems. Utilizing the advantages of the intuitionistic fuzzy sets and fuzzy sets which are combined in the proposed method to overcome some drawbacks of the conventional FCM in handling uncertainties or hesitant and also resolve the fuzziness. Experimental results show that the proposed algorithm is better than the traditional fuzzy clustering algorithms. Keywords Fuzzy sets Intuitionistic fuzzy sets Intuitionistic Fuzzy c-means clustering Entropy-Based intuitionistic. 1. INTRODUCTION Clustering technique is applied in many fields such as data mining pattern recognition image processing etc. It is used to detect any structures or patterns in the data set in which objects within the cluster level data show certain similarities. Clustering algorithms have different shapes from simple clustering as k-means and various improvements 1 2 3 4 development of a family of fuzzy c-mean clustering FCM 7 . With the framework of fuzzy theory fuzzy techniques are suitable for the development of new clustering algorithms because they are able to remove vagueness imprecision in the data 8 . Recently the intuitionistic fuzzy set IFS was introduced 9 and used for representing the hesitance of an expert on determining the membership functions and the non-membership functions. This capability has created a different research direction to handle the uncertainty based on IFS 15 . IFSs also have been recently used for the clustering problem 16 . In 10 the incomplete nutrient-deficient crop images with missing pixels is segmented by an intuitionistic fuzzy clustering algorithm with good results. An other .

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