A Simulation Study on Fuzzy Markov Chains

journal article

Date

2008

Registration in:

Figueroa García J.C., Kalenatic D., Lopez Bello C.A. (2008) A Simulation Study on Fuzzy Markov Chains. In: Huang DS., Wunsch D.C., Levine D.S., Jo KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2008. Communications in Computer and Information Science, vol 15. Springer, Berlin, Heidelberg

978-3-540-85929-1

1865-0929

https://link.springer.com/chapter/10.1007%2F978-3-540-85930-7_15#citeas

https://link.springer.com/content/pdf/10.1007%2F978-3-540-85930-7.pdf

http://hdl.handle.net/10818/36182

10.1007/978-3-540-85930-7_15

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3484226

Institutions

Universidad de la Sabana (Colombia)

Abstract

This paper presents a simulation study on Fuzzy Markov chains to identify some characteristics about their behavior, based on matrix analysis. Through experimental evidence it is observed that most of fuzzy Markov chains does not have an ergodic behavior. So, several sizes of Markov chains are simulated and some statistics are collected. Two methods for obtaining the Stationary Distribution of a Markov chain are implemented: The Greatest Eigen Fuzzy Set and the Powers of a Fuzzy Matrix. Some convergence theorems and two new definitions for ergodic fuzzy Markov chains are presented and discussed allowing to view this fuzzy stochastic process with more clarity.

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