Bipolar decomposition integrals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633257" target="_blank" >RIV/61989592:15310/25:73633257 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X25000805" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X25000805</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2025.109439" target="_blank" >10.1016/j.ijar.2025.109439</a>
Alternative languages
Result language
angličtina
Original language name
Bipolar decomposition integrals
Original language description
The idea of decomposition integral, inspired by the concept of Lebesgue integral, is a common framework for unifying many nonlinear integrals, such as the Choquet, the Shilkret, the PAN, and the concave integrals. This framework concerns aggregation on a unipolar scale, and depends on the distinguished decomposition system under some constraints on the sets being considered for each related integral. The aim of this paper is to provide a general framework to deal with integrals concerning aggregation on unipolar and bipolar scales. To achieve this aim, we propose in this paper an extension of the idea of decomposition integral of the integrated function to be suitable for bipolar scales depending on the distinguished bipolar decomposition system under some constraints on the bipolar collections being considered for each related bipolar fuzzy integral. Then, we introduce some properties of bipolar decomposition integrals, including those establishing that our approach covers the Cumulative Prospect Theory (CPT) model and the integrals with respect to bipolar capacities. Finally, we conclude with certain directions on some additional findings related to the research.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
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
1873-4731
Volume of the periodical
183
Issue of the periodical within the volume
AUG
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
"109439-1"-"109439-9"
UT code for WoS article
001463925000001
EID of the result in the Scopus database
2-s2.0-105001827174