Theory of Markov systems with fuzzy states

Symeonaki, MA; Stamou, GB

dc.contributor.author	Symeonaki, MA	en
dc.contributor.author	Stamou, GB	en
dc.date.accessioned	2014-03-01T01:21:38Z
dc.date.available	2014-03-01T01:21:38Z
dc.date.issued	2004	en
dc.identifier.issn	0165-0114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16284
dc.subject	Decision analysis	en
dc.subject	Fuzzy dynamical systems	en
dc.subject	Fuzzy system models	en
dc.subject	Markov models	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Decision theory	en
dc.subject.other	Markov processes	en
dc.subject.other	Mathematical models	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Fuzzy dynamical systems	en
dc.subject.other	Fuzzy system models	en
dc.subject.other	Markov models	en
dc.subject.other	Fuzzy sets	en
dc.title	Theory of Markov systems with fuzzy states	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0165-0114(03)00016-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0165-0114(03)00016-2	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper the theory of fuzzy logic is combined with the theory of Markov systems and the concept of a Markov system with fuzzy states is introduced for the first time. The main objective is to develop a methodology of describing a Markov population system with fuzzy states. This is an effort to deal with the fact that in real applications one is often faced with fuzzy states. This paper investigates the properties of a Markov system with states that have imprecise boundaries. A full description of a nonhomogeneous Markov system with fuzzy states is outlined and the basic parameters of the system are provided. More specifically, the expected population structure of the system is found and given in a closed analytic form and the asymptotic behaviour of the system is provided under the more realistic assumption of a fuzzy set space. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Fuzzy Sets and Systems	en
dc.identifier.doi	10.1016/S0165-0114(03)00016-2	en
dc.identifier.isi	ISI:000220891000006	en
dc.identifier.volume	143	en
dc.identifier.issue	3	en
dc.identifier.spage	427	en
dc.identifier.epage	445	en