Interval type-2 Fuzzy Markov Chains: An approach

Author

García, Juan Carlos Figueroa

Author_Institution

Lab. for Autom., Microelectron. & Comput. Intell. (LAMIC), Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia

fYear

2010

fDate

12-14 July 2010

Firstpage

1

Lastpage

6

Abstract

This paper introduces a new proposal to involve uncertainties in Fuzzy Markov Chains by using Interval Type-2 Fuzzy Sets (IT2 FS). A Type-1 Fuzzy Markov chain is an approach which uses Type-1 Fuzzy Sets (T1 FS) to describe the distributional behavior of a Discrete-Time Markov process, while the IT2 FS approach is an extension of its scope that allows to embed several T1 FS inside its Footprint of Uncertainty. In this paper, a finite state Fuzzy Markov Chain process is defined by an Interval Type-2 Fuzzy environment, finding their limiting properties and its Type-reduced behavior. To do so, two examples are provided.

Keywords

Markov processes; discrete time systems; fuzzy set theory; IT2 FS approach; discrete time Markov process; finite state fuzzy Markov chain process; footprint of uncertainty; interval type-2 fuzzy Markov chain; type reduced behaviour; type-1 fuzzy Markov chain; Automation; Computational intelligence; Distributed computing; Fuzzy set theory; Fuzzy sets; Laboratories; Markov processes; Microelectronics; Stochastic processes; Uncertainty; Fuzzy Markov Chains; Fuzzy Statistics; Fuzzy Stochastic Processes; Interval Type-2 Fuzzy Sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American

Conference_Location

Toronto, ON

Print_ISBN

978-1-4244-7859-0

Electronic_ISBN

978-1-4244-7857-6

Type

conf

DOI

10.1109/NAFIPS.2010.5548286

Filename

5548286