Susanne Saminger-Platz, Bernard De Baets, Hans De Meyer,
"A generalization of the Mulholland inequality for continuous Archimedean t-norms"
, in Journal of Mathematical Analysis and Applications, Vol. 345, Nummer 1, Seite(n) 607-614, 2008, ISSN: 0022-247X
Original Titel:
A generalization of the Mulholland inequality for continuous Archimedean t-norms
Sprache des Titels:
Englisch
Original Kurzfassung:
It is well known that dominance between strict t-norms is closely related to the Mulholland inequality, which can be seen as a generalization of the Minkowski inequality. However, strict t-norms constitute only one part of the class of continuous Archimedean t-norms, the basic elements from which all continuous t-norms are composed. In this paper, dominance between continuous Archimedean t-norms is shown to be related to a generalization of the Mulholland inequality. We provide sufficient and necessary conditions for its fulfillment.
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