Theory of fuzzy non homogeneous Markov systems with fuzzy states

Maria Symeonaki ()

Quality & Quantity: International Journal of Methodology, 2015, vol. 49, issue 6, 2369-2385

Abstract: In this paper the theory of fuzzy logic and fuzzy reasoning is combined with the theory of Markov systems and the concept of a fuzzy non homogeneous Markov system with fuzzy states is introduced for the first time. This is an effort to deal with the uncertainty introduced in the estimation of the transition probabilities, especially when social mobility is being measured, and the fact of fuzzy states, in the sense that the categories cannot be precisely measured and are therefore fuzzy. A full description of the methodology is outlined and the basic parameters of the system are provided. Moreover, the expected population structure of the system is estimated in a closed analytic form and the asymptotic behaviour, variability of the state sizes of the system and the rate of convergence of the relative population structure are given. The proposed methodology is illustrated through an example of measuring intergenerational educational mobility. Copyright Springer Science+Business Media Dordrecht 2015

Keywords: Markov systems; Fuzzy Markov systems; Probability of fuzzy events; Fuzzy states; Social mobility (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://hdl.handle.net/10.1007/s11135-014-0118-4 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:qualqt:v:49:y:2015:i:6:p:2369-2385

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11135

DOI: 10.1007/s11135-014-0118-4

Access Statistics for this article

Quality & Quantity: International Journal of Methodology is currently edited by Vittorio Capecchi

More articles in Quality & Quantity: International Journal of Methodology from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().