First derivatives of fuzzy surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43310%2F17%3A43912856" target="_blank" >RIV/62156489:43310/17:43912856 - isvavai.cz</a>

Výsledek na webu

<a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_47_from19to40.pdf" target="_blank" >http://ami.ektf.hu/uploads/papers/finalpdf/AMI_47_from19to40.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

First derivatives of fuzzy surfaces

Popis výsledku v původním jazyce

The presented research shows how the first derivatives (slope and aspect) can be calculated from a fuzzy surface by the means of fuzzy arithmetic within the geographic information system. The proposed method works with fuzzy numbers of arbitrary shape which helps with more precise specification of input values as well as more exact calculation of results. Three most important methods of partial derivatives calculation based on finite elements approximation of a surface are presented and discussed. The presented approach provides an alternative for uncertainty propagation that is commonly performed by the utilization of statistics and the Monte Carlo method in geographic applications. The example calculation shows the differences between the obtained results calculated with the utilization of fuzzy arithmetic and the Monte Carlo method.

Název v anglickém jazyce

First derivatives of fuzzy surfaces

Popis výsledku anglicky

The presented research shows how the first derivatives (slope and aspect) can be calculated from a fuzzy surface by the means of fuzzy arithmetic within the geographic information system. The proposed method works with fuzzy numbers of arbitrary shape which helps with more precise specification of input values as well as more exact calculation of results. Three most important methods of partial derivatives calculation based on finite elements approximation of a surface are presented and discussed. The presented approach provides an alternative for uncertainty propagation that is commonly performed by the utilization of statistics and the Monte Carlo method in geographic applications. The example calculation shows the differences between the obtained results calculated with the utilization of fuzzy arithmetic and the Monte Carlo method.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Annales Mathematicae et Informaticae

ISSN

1787-5021

e-ISSN

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Svazek periodika

47

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

22

Strana od-do

19-40

Kód UT WoS článku

000424545000002

EID výsledku v databázi Scopus

2-s2.0-85039762105