A New Nonlinear Choquet-Like Integral With Applications in Normal Distributions Based on Monotone Measures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603764" target="_blank" >RIV/61989592:15310/20:73603764 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333183650" target="_blank" >https://obd.upol.cz/id_publ/333183650</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TFUZZ.2019.2904929" target="_blank" >10.1109/TFUZZ.2019.2904929</a>
Alternative languages
Result language
angličtina
Original language name
A New Nonlinear Choquet-Like Integral With Applications in Normal Distributions Based on Monotone Measures
Original language description
In the theory of fuzzy measures, Choquet integral is one of the most important tools. The calculation of Choquet integral on real line is difficult for many cases such as nonmonotone functions. In this paper, by the geometric interpretation of Choquet integral, we introduce a new Choquet-like integral with a different algebraic interpretation of Choquet integral on real line. The calculation of this integral is simpler than Choquet integral on real line. Based on this integral, we introduce a general class of normal distribution on monotone measures. Finally, as an application, the real dataset obtained from the daily price of Dow Jones Industrial Average Index in period of June 2, 2008 to June 2, 2018 is analyzed.
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
IEEE TRANSACTIONS ON FUZZY SYSTEMS
ISSN
1063-6706
e-ISSN
—
Volume of the periodical
28
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
288-293
UT code for WoS article
000526828500008
EID of the result in the Scopus database
2-s2.0-85079357709