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Scalarization of Type-1 Fuzzy Markov Chains

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Book cover Advanced Intelligent Computing Theories and Applications (ICIC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6215))

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Abstract

This paper presents a method to transform Fuzzy Markov chains into Crisp Markov chains by means of an equivalence matrix derived from the concept of Scalar cardinality of a fuzzy set. This proposal is a linear transformation of the fuzzy space into a probability space.

In this paper, a finite-state Fuzzy Markov Chain is transformed into a crisp Markov chain by a linear operator. It is a projection of the fuzzy space into a probability space which allows to compare them one another.

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Author information

Authors and Affiliations

  1. Universidad de La Sabana, Chia, Colombia

    Dusko Kalenatic, Juan C. Figueroa-García & Cesar Amilcar Lopez

Authors
  1. Dusko Kalenatic
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  2. Juan C. Figueroa-García
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  3. Cesar Amilcar Lopez
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Editor information

Editors and Affiliations

  1. Intelligent Computing Laboratory, Chinese Academy of Sciences, P.O. Box 1130, 230031, Hefei, Anhui, China

    De-Shuang Huang

  2. Department of Biomedical Informatics, Vanderbilt University Medical Center, 2,525 West End Avenue, Suite 600, 37203, Nashville, TN, USA

    Zhongming Zhao

  3. Electrical and Electronics Department, Polytechnic of Bari, Via Orabona 4, 70125, Bari, Italy

    Vitoantonio Bevilacqua

  4. Faculty of Engineering, District University Francisco José de Caldas, Cra. 7a,No. 40-53, Fifth Floor, Bogotá, Colombia

    Juan Carlos Figueroa

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© 2010 Springer-Verlag Berlin Heidelberg

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Kalenatic, D., Figueroa-García, J.C., Lopez, C.A. (2010). Scalarization of Type-1 Fuzzy Markov Chains. In: Huang, DS., Zhao, Z., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2010. Lecture Notes in Computer Science, vol 6215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14922-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-14922-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14921-4

  • Online ISBN: 978-3-642-14922-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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