Towards fuzzy linguistic Markov chains

DOI

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/eusflat.2013.106
ID  - Villacorta2013/08
ER  -