Coarsening of fuzzy partitions
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Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Dept. of Mathematics, Radlinského 11, Sk-810 01 Bratislava, Slovak Republic
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Publication type: Proceedings Article
Publication date: 2015-09-01
Abstract
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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