CLUSTERING BY A FUZZY METRIC : APPLICATIONS TO THE CLUSTER-MEDIAN PROBLEM
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概要
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This paper is the second part of our study of the clustering problem with a fuzzy metric. The fuzzy metric between any two elements will be constructed from the multi-dimensional fuzzy data available for each element and our clustering criterion is to minimize the total sum of the fuzzy distances from all the elements in a cluster to its median, called the cluster-median problem. An optimal clustering is concretely sought by applying an interval method by $ \alpha $-cuts of monotone fuzzy numbers. Also, a numerical example is given.
- Research Association of Statistical Sciencesの論文
- 2000-06-00
Research Association of Statistical Sciences | 論文
- CLUSTERING BY A FUZZY METRIC : APPLICATIONS TO THE CLUSTER-MEDIAN PROBLEM
- A FAMILY OF REGRESSION MODELS HAVING PARTIALLY ADDITIVE AND MULTIPLICATIVE COVARIATE STRUCTURE
- AN OPTIMAL STOPPING PROBLEM ON TREE
- ON THE ORDERS OF MAX-MIN FUNCTIONALS
- TREE EXPRESSIONS AND THEIR PRODUCT FORMULA