Triangular norms. Position paper III: continuous t-norms
Result description
This last part of a series of position papers on triangular norms presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the context of comparison and convergence of continuous t-norms, and of the determination of continuous t-norms by their diagonal sections are mentioned.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Triangular norms. Position paper III: continuous t-norms
Original language description
This last part of a series of position papers on triangular norms presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the context of comparison and convergence of continuous t-norms, and of the determination of continuous t-norms by their diagonal sections are mentioned.
Czech name
Triangulárne normy. Prehľadový článok III: spojité t-normy
Czech description
Táto posledná časť zo série prehľadových článkov o t-normách prináša reprezentáciu spojitých Archimedovských t-noriem pomocou aditívnych generátorov, a reprezentáciu spojitých t-noriem ako ordinálnych súčtov s Archimedovskými sčítancami, v oboch prípadoch s úplnými dôkazmi. Niektoré dôsledky pre porovnávanie a konvergenciu t-noriem, resp. určenie t-noriem z ich diagonál sú pripojené
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA402/04/1026: Aggregation principles in economic-mathematical models
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
145
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
439-454
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2004