On the properties of orderings of 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%2F20%3AA21023N0" target="_blank" >RIV/61988987:17610/20:A21023N0 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/9177548" target="_blank" >https://ieeexplore.ieee.org/document/9177548</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/FUZZ48607.2020.9177548" target="_blank" >10.1109/FUZZ48607.2020.9177548</a>
Alternative languages
Result language
angličtina
Original language name
On the properties of orderings of extensional fuzzy numbers
Original language description
The article stems from distinct studies on arithmetics of fuzzy numbers, orderings of fuzzy numbers, and metrics on fuzzy numbers. Trying to capture the existing knowledge in the mentioned areas and putting them together, we motivate the construction of metric-like spaces on fuzzy numbers by desirable connection to their arithmetics. The desirable 'metric' should be mapping pairs of fuzzy numbers again to fuzzy numbers and thus, reflecting the vagueness of operation on fuzzy numbers. This leads to developing all such areas under the joint umbrella and connecting such basic notions as orderings of fuzzy numbers to arithmetics and elementary 'metrics' such as the absolute value of the difference of two fuzzy numbers. This article focuses mainly on the orderings and investigation of the preservation of their most natural properties. However, links to further studies going towards applications are also foreshadowed and referred to.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2020 IEEE International Conference on Fuzzy Systems
ISBN
978-1-7281-6932-3
ISSN
1098-7584
e-ISSN
1558-4739
Number of pages
7
Pages from-to
1-7
Publisher name
IEEE
Place of publication
Glasgow
Event location
Glasgow
Event date
Jan 1, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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