On Weak Null-Additivity of Monotone Measures View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Jun Li , Radko Mesiar , Hemin Wu

ABSTRACT

In this note, the relations between weak null-additivity and pseudometric generating property of monotone measures are discussed. We show that on finite continuous monotone measure spaces \((X, {\cal F}, \mu)\), if measurable space \((X, {\cal F})\) is S-compact (especially, if X is countable), then the weak null-additivity is equivalent to pseudometric generating property. We put a question: abandoning the S-compactness condition, does the equivalence remain valid? More... »

PAGES

278-285

Book

TITLE

Advances in Computational Intelligence

ISBN

978-3-642-31723-1
978-3-642-31724-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-31724-8_29

DOI

http://dx.doi.org/10.1007/978-3-642-31724-8_29

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1018301039


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