On distance distribution functions-valued submeasures related to aggregation functions

Details On distance distribution functions-valued submeasures related to aggregation functions On distance distribution functions-valued submeasures related to aggregation functions

2011-07-17

arxiv.org/abs/1107.3265v1

Mathematics

Classical Analysis and ODEs

16 pages, submitted for publication

Scientific paper

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.

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