Calculations of Zadeh's extension of piecewise linear functions

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Calculations of Zadeh's extension of piecewise linear functions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Calculations of Zadeh's extension of piecewise linear functions

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

—

e-ISSN

—

Počet stran výsledku

12

Strana od-do

613-624

Název nakladatele

Springer

Místo vydání

—

Místo konání akce

Lafayette, Louisiana, USA

Datum konání akce

1. 1. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—