Details

Autor(en) / Beteiligte

• Figueroa García, Juan C.
• Kalenatic, Dusko
• Lopez Bello, Cesar Amilcar

Titel

A Simulation Study on Fuzzy Markov Chains

Ist Teil von

• Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques, p.109-117

Ort / Verlag

Berlin, Heidelberg: Springer Berlin Heidelberg

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.