On distance distribution functions-valued submeasures related to aggregation functions
arXiv:1107.3265 · doi:10.1016/j.fss.2011.12.019
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.
16 pages, submitted for publication