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Journal Article

On distance distribution functions-valued submeasures related to aggregation functions

Halčinová L., Hutník O., Mesiar Radko

: Fuzzy Sets and Systems vol.194, 1 (2012), p. 15-30

: CEZ:AV0Z10750506

: GAP402/11/0378, GA ČR

: Submeasure, Distributionfunction, Probabilisticmetricspace

: 10.1016/j.fss.2011.12.019

: http://library.utia.cas.cz/separaty/2012/E/mesiar-on distance distribution functions-valued submeasures related to aggregation functions.pdf

(eng): Probabilistic submeasures generalizing the classical(numerical)submeasures are introduced and discussed in connection with some classes of aggregationfunctions. 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.

: BA