Transition probabilities for Markov chains having fuzzy states
作者:
R. Kleyle,
A. de Korvin,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1997)
卷期:
Volume 15,
issue 4
页码: 527-546
ISSN:0736-2994
年代: 1997
DOI:10.1080/07362999708809493
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We consider a Markov Chain in which the states are fuzzy subsets defined on some finite state space. Building on the relationship between set-valued Markov chains to the Dempster-Shafer combination rule, we construct a procedure for finding transition probabilities from one fuzzy state to another. This construction involves Dempster-Shafer type mass functions having fuzzy focal elements. It also involves a measure of the degree to which two fuzzy sets are equal. We also show how to find approximate transition probabilities from a fuzzy state to a crisp state in the original state space
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