Title :
A New Fuzzy Clustering Validity Index Based on Fuzzy Proximity Matrices
Author :
Valente, Rafael Xavier ; Braga, Antonio Padua ; Pedrycz, Witold
Author_Institution :
Grad. Program in Electr. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil
Abstract :
This paper presents a new validity index for fuzzy partitions generated by the fuzzy c-means algorithm. The proposed validity index is based on the calculation of factors from the proximity matrix generated from the membership matrix generated by a fuzzy clustering partition algorithm, such as FCM. The experimental results show that the proposed approach is consistent with other well-known metrics and with the dataset structure as observed from Proximity Matrices.
Keywords :
fuzzy set theory; matrix algebra; pattern clustering; statistical analysis; dataset structure; fuzzy c-means algorithm; fuzzy clustering partition algorithm; fuzzy clustering validity index; fuzzy partition validity index; fuzzy proximity matrices; membership matrix; Clustering algorithms; Equations; Indexes; Iris; Linear programming; Partitioning algorithms; Symmetric matrices; Clustering Validation Index; Fuzzy Clustering; Proximity Matrix;
Conference_Titel :
Computational Intelligence and 11th Brazilian Congress on Computational Intelligence (BRICS-CCI & CBIC), 2013 BRICS Congress on
Conference_Location :
Ipojuca
DOI :
10.1109/BRICS-CCI-CBIC.2013.87
