A generalization of universal integrals by means of level dependent capacities

Erich Klement; Anna Kolesárová; Radko Mesiar; Andrea Stupnanová

doi:10.1016/j.knosys.2012.08.021

A generalization of universal integrals by means of level dependent capacities

Erich Klement
, Anna Kolesárová
, Radko Mesiar
, Andrea Stupnanová

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

Abstract

An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.

Original language	English
Pages (from-to)	14-18
Number of pages	5
Journal	Knowledge-Based Systems
Volume	38
DOIs	https://doi.org/10.1016/j.knosys.2012.08.021
Publication status	Published - Jan 2013

Fields of science

101001 Algebra
101 Mathematics
102 Computer Sciences
101013 Mathematical logic
101020 Technical mathematics
102001 Artificial intelligence
102003 Image processing
202027 Mechatronics
101019 Stochastics
211913 Quality assurance

JKU Focus areas

Computation in Informatics and Mathematics
Mechatronics and Information Processing
Nano-, Bio- and Polymer-Systems: From Structure to Function

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10.1016/j.knosys.2012.08.021

Cite this

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title = "A generalization of universal integrals by means of level dependent capacities",

abstract = "An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.",

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AU - Klement, Erich

AU - Kolesárová, Anna

AU - Mesiar, Radko

AU - Stupnanová, Andrea

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Y1 - 2013/1

N2 - An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.

AB - An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.

UR - https://www.scopus.com/pages/publications/84871616721

U2 - 10.1016/j.knosys.2012.08.021

DO - 10.1016/j.knosys.2012.08.021

M3 - Article

SN - 0950-7051

VL - 38

SP - 14

EP - 18

JO - Knowledge-Based Systems

JF - Knowledge-Based Systems

ER -

A generalization of universal integrals by means of level dependent capacities

Abstract

Fields of science

JKU Focus areas

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