On distance distribution functions-valued submeasures related to aggregation functions
Classical Analysis and ODEs
2012-07-12 v1 Probability
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 semi-copula-based probabilistic submeasures. Some algebraic properties of classes of such submeasures are also studied.
Cite
@article{arxiv.1107.3265,
title = {On distance distribution functions-valued submeasures related to aggregation functions},
author = {Lenka Halčinová and Ondrej Hutník and Radko Mesiar},
journal= {arXiv preprint arXiv:1107.3265},
year = {2012}
}
Comments
16 pages, submitted for publication