Fuzzy Markov chains: uncertain probabilities.

James J. Buckley; Esfandiar Eslami

Mathware and Soft Computing (2002)

  • Volume: 9, Issue: 1, page 33-41
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Buckley, James J., and Eslami, Esfandiar. "Fuzzy Markov chains: uncertain probabilities.." Mathware and Soft Computing 9.1 (2002): 33-41. <http://eudml.org/doc/39232>.

@article{Buckley2002,
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.},
author = {Buckley, James J., Eslami, Esfandiar},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Cadenas de Markov; Probabilidad de transición; Markov chains; uncertain probabilities},
language = {eng},
number = {1},
pages = {33-41},
title = {Fuzzy Markov chains: uncertain probabilities.},
url = {http://eudml.org/doc/39232},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Buckley, James J.
AU - Eslami, Esfandiar
TI - Fuzzy Markov chains: uncertain probabilities.
JO - Mathware and Soft Computing
PY - 2002
VL - 9
IS - 1
SP - 33
EP - 41
AB - 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.
LA - eng
KW - Lógica difusa; Cadenas de Markov; Probabilidad de transición; Markov chains; uncertain probabilities
UR - http://eudml.org/doc/39232
ER -

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