Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583217" target="_blank" >RIV/61989592:15310/17:73583217 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0888613X16302481" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0888613X16302481</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2016.11.012" target="_blank" >10.1016/j.ijar.2016.11.012</a>

Result language
angličtina
Original language name
Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices
Original language description
Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they share several properties with the comonotonicity for the real-valued vectors (which need not hold for L-valued vectors comonotonicity, in general). Based on these newly introduced generalized types of comonotonicity of L-valued vectors, several new axiomatizations of L-valued Sugeno integrals are introduced. One of them brings a substantial decrease of computational complexity when checking an aggregation function to be a Sugeno integral.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</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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