On topological entropy of Zadeh's extension defined on piecewise convex fuzzy sets

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801N2I" target="_blank" >RIV/61988987:17610/17:A1801N2I - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-319-66830-7_31" target="_blank" >http://dx.doi.org/10.1007/978-3-319-66830-7_31</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-66830-7_31" target="_blank" >10.1007/978-3-319-66830-7_31</a>

Result language

angličtina

Original language name

On topological entropy of Zadeh's extension defined on piecewise convex fuzzy sets

Original language description

As the main result of this article we prove that a given continuous interval map and its Zadeh's extension (fuzzification) to the space of fuzzy sets with the property that $alpha$-cuts have at most $m$ convex (topologically connected) components, for $m$ being an arbitrary natural number, have both positive (resp. zero) topological entropy. Presented topics are studied also for set-valued (induced) discrete dynamical systems. The main results are proved due to variational principle describing relations between topological and measure-theoretical entropy, respectively.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Advances in Fuzzy Logic and Technology 2017

ISBN

978-3-319-66830-7

ISSN

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e-ISSN

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Number of pages

12

Pages from-to

342-353

Publisher name

Springer, Cham

Place of publication

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Event location

Varsava

Event date

Jan 1, 2017

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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