@inbook{ff41fb5204d542229bc5b04d14cab6f3,
title = "Invariant hierarchical clustering schemes",
abstract = "A general parametric scheme of hierarchical clustering procedures with invariance under monotone of similarity values and invariance under numeration of objects is described. This scheme consists of two steps: of given similarity values between objects and transitive closure of obtained valued relation. Some theoretical properties of considered scheme are studied. Different parametric classes of clustering procedures from this scheme based on perception like {"}keep similarity classes,{"} {"}break bridges between clusters,{"} etc. are considered. Several examples are used to illustrate the application of proposed clustering procedures to analysis of similarity structures of data.",
author = "Ildar Batyrshin and Tamas Rudas",
year = "2007",
doi = "10.1007/978-3-540-36247-0_7",
language = "Ingl{\'e}s",
isbn = "3540362444",
series = "Studies in Computational Intelligence",
pages = "181--206",
editor = "Ildar Batyrshin and Leonid Sheremetov and Janusz Kacprzyk and Lotfi Zadeh and Ildar Batyrshin and Leonid Sheremetov",
booktitle = "Perception-based Data Mining and Decision Making in Economics and Finance",
}