模糊分区的粗化

2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY) Pub Date : 2015-11-12 DOI:10.1109/SISY.2015.7325365

S. Bodjanova, M. Kalina

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引用次数: 1

摘要

考虑有限泛集X的模糊划分U为c个簇，其中每个簇由X上的一个模糊集描述。将模糊集的p级集[3]的概念推广到模糊划分的p级矩阵。提出了一种基于由聚类隶属度派生的p级矩阵序列逐步粗化U的方法。提出了将p级矩阵修改为扩展p级矩阵和严格p级矩阵。

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Coarsening of fuzzy partitions

A vague partition U of a finite universal set X into c clusters, where each cluster is described by a fuzzy set on X, is considered. The concept of p-level sets [3] of fuzzy sets is extended to p-level matrices of fuzzy partitions. A method of gradual coarsening of U based on a sequence of p-level matrices derived from the membership grades of clusters of U is suggested. Modifications of p-level matrices to extended p-level matrices and to strict p-level matrices are proposed.

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2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY)

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