Fuzzy interpolation with extensional fuzzy numbers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA220277C" target="_blank" >RIV/61988987:17610/21:A220277C - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2073-8994/13/2/170" target="_blank" >https://www.mdpi.com/2073-8994/13/2/170</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym13020170" target="_blank" >10.3390/sym13020170</a>
Alternative languages
Result language
angličtina
Original language name
Fuzzy interpolation with extensional fuzzy numbers
Original language description
The article develops further directions stemming from the arithmetic of extensional fuzzy numbers. It presents the existing knowledge of the relationship between the arithmetic and the proposed orderings of extensional fuzzy numbers—so-called S-orderings—and investigates distinct properties of such orderings. The desirable investigation of the S-orderings of extensional fuzzy numbers is directly used in the concept of S-function—a natural extension of the notion of a function that, in its arguments as well as results, uses extensional fuzzy numbers. One of the immediate subsequent applications is fuzzy interpolation. The article provides readers with the basic fuzzy interpolation method, investigation of its properties and an illustrative experimental example on real data. The goal of the paper is, however, much deeper than presenting a single fuzzy interpolation method. It determines direction to a wide variety of fuzzy interpolation as well as other analytical methods stemming from the concept of S-function and from the arithmetic of extensional fuzzy numbers in general.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry
ISSN
2073-8994
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
35
Pages from-to
1-35
UT code for WoS article
000623125500001
EID of the result in the Scopus database
2-s2.0-85099939523