A Validity Measure for Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Data mining: concepts and techniques
Data mining: concepts and techniques
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Computer Vision
Cluster Validity for the Fuzzy c-Means Clustering Algorithrm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzy lattice reasoning (FLR) classifier and its application for ambient ozone estimation
International Journal of Approximate Reasoning
On fuzzy cluster validity indices
Fuzzy Sets and Systems
An efficient approach for building customer profiles from business data
Expert Systems with Applications: An International Journal
Fuzzy Sets and Systems
Fuzzy clustering with viewpoints
IEEE Transactions on Fuzzy Systems
Expert Systems with Applications: An International Journal
International Journal of Approximate Reasoning
Iterative meta-clustering through granular hierarchy of supermarket customers and products
Information Sciences: an International Journal
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Prototype Reasoning using granular objects is an important technology for knowledge discovery. Fuzzy clustering can be used to generate prototypes with different granularities. In order to find optimal granular prototypes through fuzzy clustering, for given data, two conditions are necessary: a good cluster validity function, which can be applied to evaluate the goodness of cluster schemes for varying number of clusters (different granularity); a good cluster algorithm that can produce an optimal solution for a fixed number of clusters. To satisfy the first condition, a new validity measure called granularity-dissimilarity (GD) measure is proposed, which is stable in evaluating granularities and works well even when the number of clusters is very large. For the second condition, we propose a new algorithm called multi-step maxmin and merging algorithm (3M algorithm). Experiments show that, when used in conjunction with the new cluster validity measure, 3M algorithm produces better results on the experimental data sets than several alternatives.