New transformations of aggregation functions based on monotone systems of functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603760" target="_blank" >RIV/61989592:15310/20:73603760 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X19304141" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X19304141</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2019.12.004" target="_blank" >10.1016/j.ijar.2019.12.004</a>
Alternative languages
Result language
angličtina
Original language name
New transformations of aggregation functions based on monotone systems of functions
Original language description
The paper introduces a Generalized-Convex-Sum-Transformation of aggregation functions. It has the form of a transformation of aggregation functions by monotone systems of functions. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also called the Darsow product of copulas. Similarly, our approach covers Choquet integrals with respect to capacities induced by the considered aggregation function. The paper offers basic definitions and some properties of the mentioned transformation. Various examples illustrating the transformation are presented. The paper also gives two alternative transformations of aggregation functions under which the dimension of the transformed aggregation functions is higher than that of the original one. Interestingly, if a copula is transformed, under some conditions put on the monotone systems of functions, the transformed aggregation function is again a copula.
Czech name
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Czech description
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Classification
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
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
Name of the periodical
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
ISSN
0888-613X
e-ISSN
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Volume of the periodical
118
Issue of the periodical within the volume
MAR
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
79-95
UT code for WoS article
000513990200005
EID of the result in the Scopus database
2-s2.0-85077134138