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%2F18%3AA1901V29" target="_blank" >RIV/61988987:17610/18:A1901V29 - 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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Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Advances in Intelligent Systems and Computing, vol 641
ISBN
978-3-319-66829-1
ISSN
—
e-ISSN
—
Number of pages
12
Pages from-to
342-353
Publisher name
SPRINGER INTERNATIONAL PUBLISHING AG
Place of publication
Berlín
Event location
Warsaw
Event date
Sep 11, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000432315700031

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