Interval type-2 fuzzy markov chains: type reduction

Authors:
Juan C. Figueroa-Garcí/a;Dusko Kalenatic;Cesar Amilcar Lopez
Affiliations:
Universidad Distrital Francisco José/ de Caldas, Bogot$#225/, Colombia;Universidad de La Sabana, Chí/a, Colombia;Universidad Distrital Francisco José/ de Caldas, Bogot$#225/, Colombia
Venue:
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing Theories and Applications: with aspects of artificial intelligence
Year:
2011

Citing 3
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Abstract

This paper shows an application of Type-reduction algorithms for computing the steady state of an Interval Type-2 Fuzzy Markov Chain (IT2FM). The IT2FM approach is an extension of the scope of a Type-1 fuzzy markov chain (T1FM) that allows to embed several Type-1 fuzzy sets (T1FS) inside its Footprint of Uncertainty. In this way, a finite state Fuzzy Markov Chain process is defined on an Interval Type-2 Fuzzy environment, finding their limiting properties and its Type-reduced behavior. To do so, two examples are provided.