Fuzzy Markov chains: uncertain probabilities

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Buckley, James J.; Eslami, Esfandiar;

handle: 2099/3616

Fuzzy Markov chains: uncertain probabilities

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Abstract

We consider finite Markov chains where there are uncertainties in some of the transition probabilities. These uncertainties are modeled by fuzzy numbers. Using a restricted fuzzy matrix multiplication we investigate the properties of regular, and absorbing, fuzzy Markov chains and show that the basic properties of these classical Markov chains generalize to fuzzy Markov chains.

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Spain

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Keywords

Classificació AMS::08 General algebraic systems::08A Algebraic structures, :08 General algebraic systems::08A Algebraic structures [Classificació AMS], uncertain probabilities, Markov chains, Estructures algebraiques, Uncertain probabilities., Uncertain probabilities, Theory of fuzzy sets, etc., Markov chains (discrete-time Markov processes on discrete state spaces)

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