On Ordinal Sums of T-norms and T-conorms on Bounded Posets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21024VC" target="_blank" >RIV/61988987:17610/20:A21024VC - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/20:00114626
Result on the web
<a href="https://ieeexplore.ieee.org/abstract/document/9177618" target="_blank" >https://ieeexplore.ieee.org/abstract/document/9177618</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/FUZZ48607.2020.9177618" target="_blank" >10.1109/FUZZ48607.2020.9177618</a>
Alternative languages
Result language
angličtina
Original language name
On Ordinal Sums of T-norms and T-conorms on Bounded Posets
Original language description
This paper continues and generalizes the line of research on ordinal sum of t-norms and t-conorms on bounded lattices. We introduce a new ordinal sum construction on bounded posets based on interior and closure operators. Our proposed method provides a simple tool to introduce new classes of t-norms and t-conorms. Several necessary and sufficient conditions are presented for ensuring whether our generalized ordinal sum on bounded posets of arbitrary t-norms is, in fact, a t-norm. We show that in this general setting the existence of our ordinal sum for t-norms requires that the respective interior operators are t-norm preserving.
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
10101 - Pure 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)
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 (FUZZ-IEEE)
ISBN
978-172816932-3
ISSN
1098-7584
e-ISSN
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Number of pages
8
Pages from-to
1-8
Publisher name
IEEE
Place of publication
Glasgow
Event location
Glasgow
Event date
Jul 19, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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