title:
 
Towards fuzzy linguistic Markov chains
publication:
 
EUSFLAT-13
part of series:
  Advances in Intelligent Systems Research
ISBN:
  978-90786-77-78-9
ISSN:
  1951-6851
DOI:
  doi:10.2991/eusflat.2013.106 (how to use a DOI)
author(s):
 
Pablo Villacorta, Jose_Luis Verdegay, David Pelta
corresponding author:
 
Pablo Villacorta
publication date:
 
August 2013
keywords:
 
Fuzzy probabilities linguistic probabilities linguistic labels Markov chains stationary distribution
abstract:
 
In this contribution we deal with the problem of doing computations with a Markov chain when the information about transition probabilities is expressed linguistically. This could be the case, for instance, if the process we are modeling is described by a human expert, for whom the use of linguistic labels is easier than being forced to give inexact numerical probabilities which, in turn, may yield an unstable chain. We address the uncertainty of linguistic judgments by introducing fuzzy probabilities, and carry on the calculation of the linguistic stationary distribution of the chain by resorting to an existing fuzzy approach with restricted matrix multiplication. Preliminary results are very promising and deserve further research.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
full text: