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Issue:On some representations and modifications of Markov chains: Difference between revisions

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  | author          = Aleksander J. Kacprzyk
  | author          = Aleksander Kacprzyk
  | institution    = Prof. Asen Zlatarov University, Burgas
  | institution    = Prof. Asen Zlatarov University, Burgas
  | address        = 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
  | address        = 1 Prof. Yakimov Blvd., Burgas 8010, Bulgaria
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  | issue          = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in IFSs and GNs", Volume 14 (2018/19)]], pages 62-76
  | issue          = [[Issues in Intuitionistic Fuzzy Sets and Generalized Nets/14|"Issues in Intuitionistic Fuzzy Sets and Generalized Nets", Volume 14 (2018/19)]], pages 62-76
  | file            = Issues-14-2018-19-62-76.pdf
  | file            = Issues-14-2018-19-62-76.pdf
  | format          = PDF
  | format          = PDF

Latest revision as of 11:21, 29 August 2024

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Title of paper: On Some Representations and Modifications of Markov Chains
Author(s):
Aleksander 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 Intuitionistic Fuzzy Sets and Generalized Nets", Volume 14 (2018/19), pages 62-76
Download:  PDF (162  Kb, File 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.
References:
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  12. Natkin, S., Les Reseaux de Petri Stochastiques et leur Application a 1’Evaluation des Systemes Informatiques. These de Docteur Ingegneur, CNAM, Paris, France, 1980.
  13. Shapiro, S., A Stochastic Petri Net with Applications to Modelling Occupancy Times for Concurrent Task Systems. Networks, Vol. 9, No. 4, 1979, 375–379.
  14. M. K. Molley, “Performance modeling using stochastic Petri nets”, IEEE Trans. Comput, vol. C-31, pp. 913-917, Sept. 1982.
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