On distance distribution functions-valued submeasures related to aggregation functions

Authors:
Lenka Halčinová;Ondrej Hutník;Radko Mesiar
Affiliations:
Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Jesenná 5, 040 01 Košice, Slovakia;Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Jesenná 5, 040 01 Košice, Slovakia and Departamento de Matemáticas, CINVESTAV ...;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia and Institute of Information The ...
Venue:
Fuzzy Sets and Systems
Year:
2012

Citing 3
Cited 1

An Introduction to Copulas (Springer Series in Statistics)

An Introduction to Copulas (Springer Series in Statistics)
On copulas, quasicopulas and fuzzy logic

Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue (1143 - 1198) " Distributed Bioinspired Algorithms"; Guest editors: F. Fernández de Vega, E. Cantú-Paz
On a class of transformations of copulas and quasi-copulas

Fuzzy Sets and Systems

On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures

Information Sciences: an International Journal

Quantified Score

Hi-index	0.20

Visualization

Abstract

Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is paid to triangular norm-based probabilistic submeasures and more general semi-copula-based probabilistic submeasures. Some algebraic properties of classes of such submeasures are also studied.