21 March 2001 Self-organizing map with fuzzy class memberships
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Self-organizing maps SOM can be used as clustering algorithm to discover structure and similarity in data and to capture the descriptive aspect by repeated partitioning and evaluating. It has the ability to represent multidimensional data in topological mapping. If a class label is known, self-organizing map can be also used by a classifier. In this case, each neuron is assigned a class label based on the maximum class frequency and classified by a nearest neighbor strategy. The problem when using this strategy is that each pattern is treated by equal importance in counting class frequency regardless of its typicalness. But, with known class label we can take an advantage of this information by applying fuzzy set theory and assigning the fuzzy class membership into each neuron. In fact, the fuzzy- membership-label neuron gives us insight of the degree of class typicalness and distinguishes itself from a class cluster.
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Sunghwan Sohn, Sunghwan Sohn, Cihan H. Dagli, Cihan H. Dagli, "Self-organizing map with fuzzy class memberships", Proc. SPIE 4390, Applications and Science of Computational Intelligence IV, (21 March 2001); doi: 10.1117/12.421165; https://doi.org/10.1117/12.421165

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