Rate of convergence, asymptotically attainable structures and sensitivity in non-homogeneous Markov systems with fuzzy states

Symeonaki, MA; Stamou, GB

dc.contributor.author	Symeonaki, MA	en
dc.contributor.author	Stamou, GB	en
dc.date.accessioned	2014-03-01T01:25:03Z
dc.date.available	2014-03-01T01:25:03Z
dc.date.issued	2006	en
dc.identifier.issn	0165-0114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17517
dc.subject	Asymptotic behavior	en
dc.subject	Fuzzy dynamical systems	en
dc.subject	Fuzzy probability	en
dc.subject	Fuzzy set theory	en
dc.subject	Markov systems	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	Computational geometry	en
dc.subject.other	Fuzzy sets	en
dc.subject.other	Probability	en
dc.subject.other	Asymptotic behavior	en
dc.subject.other	Fuzzy dynamical systems	en
dc.subject.other	Fuzzy probability	en
dc.subject.other	Fuzzy set theory	en
dc.subject.other	Markov systems	en
dc.subject.other	Markov processes	en
dc.title	Rate of convergence, asymptotically attainable structures and sensitivity in non-homogeneous Markov systems with fuzzy states	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.fss.2005.04.011	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.fss.2005.04.011	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	This paper is concerned with the rate of convergence, the asymptotically attainable structures and the sensitivity of a non-homogeneous Markov system (NHMS, in short) with fuzzy states. More specifically, it is proved that under some realistic assumptions easily met in practice, the convergence rate of the relative population structure to its limit is geometric. Furthermore, the asymptotically attainable structures in a NHMS with fuzzy states are given. More precisely, the problem of finding which states are possible as limiting ones in a NEMS with fuzzy states is studied, provided that the limit of the sequence of the input probability vectors is controlled. Moreover, the sensitivity of the limiting expected population structure on perturbations of the limiting input probabilities for the system is also studied. Two applications (in Cognitive Science and in Manpower Planning) are given, where the sensitivity of two NHMS with three states is studied, provided that the limiting input probability vector is perturbed. (C) 2005 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/j.fss.2005.04.011	en
dc.identifier.isi	ISI:000233156900008	en
dc.identifier.volume	157	en
dc.identifier.issue	1	en
dc.identifier.spage	143	en
dc.identifier.epage	159	en