%0 Journal Article %T Ergodicity of Fuzzy Markov Chains Based on Simulation Using Halton Sequences %A Fathi Vajargah, Behrouz %A Gharehdaghi, Maryam %J Journal of Mathematics and Computer Science %D 2012 %V 4 %N 3 %@ ISSN 2008-949X %F Fathi Vajargah2012 %X We first introduce fuzzy finite Markov chains and present some of their fundamental properties based on possibility theory. We also bring in a way to convert fuzzy Markov chains to classic Markov chains. In addition, we simulate fuzzy Markov chain using different sizes. It is observed that the most of fuzzy Markov chains not only do have an ergodic behavior, but also they are periodic. Finally, using Halton quasi-random sequence we generate some fuzzy Markov chains which compared to the ones generated by the RAND function of MATLAB. Therefore, we improve the periodicity behavior of fuzzy Markov chains. %9 journal article %R 10.22436/jmcs.04.03.11 %U http://dx.doi.org/10.22436/jmcs.04.03.11 %P 380--385 %0 Journal Article %T Under interval and fuzzy uncertainty, symmetric Markov chains are more difficult to predict. Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS) %A R. Araiza %A G. Xiang %A O. Kosheleva %A D. Skulj %J IEEE Annual Meeting of the North American Fuzzy Information Processing Society %D 2007 %V 2007 %F Araiza2007 %0 Journal Article %T Fuzzy markov chains: Specifities and properties %A K. E. Avrachenkov %A E. Sanchez %J 8th IPMU 2000 Conference %D 2000 %V 2000 %F Avrachenkov2000 %0 Book %T Fuzzy Probability and Statistics %A J. J. Buckley %D 2004 %I Springer-Verlag %C U.S.A. %F Buckley2004 %0 Journal Article %T Computing orbit period in max-min algebra %A M. Gavalec %J Discrete Applied Mathematics %D 2000 %V 100 %F Gavalec2000 %0 Journal Article %T Periods of special fuzzy matrices %A M. Gavalec %J Tatra Mountains Mathematical publication %D 1999 %V 16 %F Gavalec1999 %0 Book %T Random Number Generation and Monte Carlo Methods %A J. E. Gentle %D 2005 %I Springer-Verlag %C New York %F Gentle2005 %0 Journal Article %T Scalarization of Type-1 Fuzzy Markov Chains %A D. Kalenatic %A J. Figueroa-Garcia %A C. A. Lopez %J Springer-Verlag %D 2010 %V 2010 %F Kalenatic2010 %0 Journal Article %T Eigen fuzzy sets and fuzzy relations %A E. Sanchez %J Journal of mathematical analysis and applications %D 1981 %V 81 %F Sanchez1981 %0 Journal Article %T Convergence of powers of a fuzzy matrix %A M. G. Thomason %J Journal of mathematical analysis and applications %D 1977 %V 57 %F Thomason1977