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Issue:On some representations and modifications of Markov chains

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Title of paper: On Some Representations and Modifications of Markov Chains
Author(s):
Aleksander J. Kacprzyk
Prof. Asen Zlatarov University, Burgas, 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
Zhivko Tomov
Prof. Asen Zlatarov University, Burgas, 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
zhivko57@yandex.ru
Krassimir Atanassov
Prof. Asen Zlatarov University, Burgas, 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
Department of Bioinformatics and Mathematical Modelling,Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 105, 1113 Sofia
krat@bas.bg
Velin Andonov
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria
velin_andonov@math.bas.bg
Published in: "Issues in IFSs and GNs", Volume 14 (2018/19), pages 62-76
Download:  PDF (162  Kb, Info)
Abstract: Two new representations of Markov chains are proposed. One of them uses the novel concept of Index Matrix (IM) which has greater modelling capabilities in comparison to the standard matrix. A new normalization operator over IMs is introduced. The other new representation proposed in the present paper uses Generalized Nets (GNs). Two GN models of Markov chain are described. It has been made an attempt to classify them with respect to the DM techniques (neural networks, genetic algorithms, etc.) and the tools used, as well as on the basis of the different areas of DM application (education, medicine, genetics, etc).
Keywords: Markov Chains, Index Matrices, Generalized Nets.
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