L1-norm based fuzzy clustering
Fuzzy Sets and Systems
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Soft Computing and Human-Centered Machines
Soft Computing and Human-Centered Machines
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This paper aims at proposing and comparing two fuzzy models and a statistical model for clustering based on L1-space. Clustering methods in the fuzzy models are the standard fuzzy c-means and an entropy regularization method based on L1-space. Furthermore, we add new variables to them for improving the cluster division. In the statistical model, a mixture distribution model based on L1-space is proposed and the EM algorithm is applied.