Calculations of Zadeh's extension of piecewise linear functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001Z7L" target="_blank" >RIV/61988987:17610/19:A2001Z7L - isvavai.cz</a>
Result on the web
<a href="https://www.scopus.com/record/display.uri?eid=2-s2.0-85069005082&origin=resultslist&sort=plf-f&src=s&st1=Calculations+of+Zadeh%27s+extension+of+piecewise+linear+function&st2=&sid=514c1b995aec2b2056c51c401216d56e&sot=b&sdt=b&sl=77&s=TITLE-ABS-KEY%28Calcul" target="_blank" >https://www.scopus.com/record/display.uri?eid=2-s2.0-85069005082&origin=resultslist&sort=plf-f&src=s&st1=Calculations+of+Zadeh%27s+extension+of+piecewise+linear+function&st2=&sid=514c1b995aec2b2056c51c401216d56e&sot=b&sdt=b&sl=77&s=TITLE-ABS-KEY%28Calcul</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-21920-8_54" target="_blank" >10.1007/978-3-030-21920-8_54</a>

Result language
angličtina
Original language name
Calculations of Zadeh's extension of piecewise linear functions
Original language description
Zadeh's extension principle is one of the most classical techniques in fuzzy set theory. It is a tool which, for example, can naturally extend a real-valued continuous map to a map having fuzzy sets as its arguments. Theoretically, it is a nice mathematical tool used in many theories, e.g. in studies on fuzzy dynamical systems. However, concrete calculations or even approximations can be very difficult in general and, consequently, many approaches trying to solve this problem appeared. In this work we present a novel algorithm which can compute Zadeh's extension of given continuous piecewise linear functions. Among other things, an advantage of this approach is that, unlike almost all former approaches, it can deal with discontinuities which naturally appear in simulations of fuzzy dynamical systems.
Czech name
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Czech description
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Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Fuzzy Techniques: Theory and Applications Proceedings of the 2019 Joint World Congress of the International Fuzzy Systems Association and the Annual Conference of the North American Fuzzy Information Processing Society IFSA/NAFIPS 2019 (Lafayette, Louisiana, USA, June 18-21, 2019)
ISBN
978-3-030-21919-2
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
613-624
Publisher name
Springer
Place of publication
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Event location
Lafayette, Louisiana, USA
Event date
Jan 1, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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