Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Towards fuzzy linguistic Markov chains

Authors
Pablo Villacorta, Jose_Luis Verdegay, David Pelta
Corresponding Author
Pablo Villacorta
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.106How to use a DOI?
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.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.106How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Pablo Villacorta
AU  - Jose_Luis Verdegay
AU  - David Pelta
PY  - 2013/08
DA  - 2013/08
TI  - Towards fuzzy linguistic Markov chains
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 747
EP  - 753
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.106
DO  - https://doi.org/10.2991/eusflat.2013.106
ID  - Villacorta2013/08
ER  -