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Analysis of Ergodicity of a Fuzzy Possibilistic Markov Model

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5908))

Abstract

Performing ergodicity analysis is essential to study the long realization of a model. In this paper we analyze the ergodicity, i.e.,the existence of the limiting fuzzy transition possibility matrix with identical rows for the fuzzy transition possibility matrix \(\tilde{H}\) of a fuzzy possibilistic Markov model which contains a state j such that the transition from every state to the state j is a sure event.

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References

  1. Avrachekov, K.E., Sanchez, E.: Fuzzy Markov Chain: Specificities and Properties. Fuzzy Optimization and Decision Making 1, 143–159 (2002)

    Article  MathSciNet  Google Scholar 

  2. Buckly, J.J., Eslami, E.: Fuzzy Markov Chains:Uncetain Probabilities. Math Ware and Soft Computing 9, 33–41 (2002)

    Google Scholar 

  3. Buckly, J.J., Feuring, T., Hayashi, Y.: Fuzzy Markov Chains. In: Proc. 9th IFSA World Congress and 20th NAFIPS International Conference, pp. 2708–2711 (2001)

    Google Scholar 

  4. Imai, H., et al.: The Period of Powers of a Fuzzy Matrix. Fuzzy Sets and Systems 109, 405–408 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kruse, R., Emden, R.B., Cordes, R.: Processor Power Considerations- An Application of Fuzzy Markov Chains. Fuzzy Sets and Systems 21, 289–299 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  6. Praba, B., Sujatha, R., Hilda Christy Gnanam, V.: Classification and Steady State Analysis for Fuzzy Possibilistic Markov Chain (Communicated)

    Google Scholar 

  7. Trivedi, K.S.: Probability and Statistics with Reliability, Queuing and Computer Science Applications. Prentice Hall, Englewood Cliffs (2002)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Praba, B., Sujatha, R., Gnanam, V.H.C. (2009). Analysis of Ergodicity of a Fuzzy Possibilistic Markov Model. In: Sakai, H., Chakraborty, M.K., Hassanien, A.E., Ślęzak, D., Zhu, W. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2009. Lecture Notes in Computer Science(), vol 5908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10646-0_32

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  • DOI: https://doi.org/10.1007/978-3-642-10646-0_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10645-3

  • Online ISBN: 978-3-642-10646-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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