Towards fuzzy linguistic Markov chains
Pablo Villacorta, Jose_Luis Verdegay, David Pelta
Available Online August 2013.
- 10.2991/eusflat.2013.106How to use a DOI?
- Fuzzy probabilities linguistic probabilities linguistic labels Markov chains stationary distribution
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.
- © 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/).
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 - 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 -