Rectangles-based discrete universal fuzzy integrals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00559712" target="_blank" >RIV/67985556:_____/22:00559712 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X22000925?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X22000925?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2022.06.003" target="_blank" >10.1016/j.ijar.2022.06.003</a>

Result language
angličtina
Original language name
Rectangles-based discrete universal fuzzy integrals
Original language description
Using hypergraphs of survival functions, we propose a rather general method for the construction of discrete fuzzy integrals. Our method is based on various rectangle decompositions of hypergraphs and on rectangle mappings suitably evaluating the rectangles of the considered decompositions. By means of appropriate binary aggregation functions we define two types of rectangle mappings and four types of discrete fuzzy integral constructions, and we also investigate the properties of the introduced integrals and the relationships between them. All the introduced methods based on non-overlapping rectangles coincide in the case of the product aggregation function, and then the related integral is the Choquet integral. Several examples are given.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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