Analysis of Ergodicity of a Fuzzy Possibilistic Markov Model

Authors:
B. Praba;R. Sujatha;V. Hilda Gnanam
Affiliations:
Department of Mathematics, SSN College of Engineering, Chennai, India 603 110;Department of Mathematics, SSN College of Engineering, Chennai, India 603 110;Department of Mathematics, SSN College of Engineering, Chennai, India 603 110
Venue:
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Year:
2009

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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.