Characterization of uninorms on bounded lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1701KV5" target="_blank" >RIV/61988987:17610/17:A1701KV5 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/17:A2301KV5
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Characterization of uninorms on bounded lattices
Original language description
In this paper, we propose a characterization of uninorms on a general bounded lattice L by means of a sextuple of a triangular norm, a triangular conorm, and four aggregation functions on L. Observe that in the case when L is a chain, it is enough to consider a triple consisting of a t-norm, a t-conorm and an averaging aggregation function. An example of a proper uninorm which has an absorbing element differing from both 0 and 1 is also shown (note that this cannot happen if we consider uninorms acting on a chain). Two general constructions of uninorms on L are added, letting a t-norm (a t-conorm) linked to a fixed neutral element e of the constructed uninorm to be free and fixing the remaining functions.
Czech name
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Czech description
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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
10101 - Pure mathematics

Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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