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Canonical sequences of monotone measures

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Publication:2036790
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DOI10.1016/j.fss.2018.10.017zbMath1464.28014OpenAlexW2898910799WikidataQ129018962 ScholiaQ129018962MaRDI QIDQ2036790

Igor N. Rozenberg, Andrey G. Bronevich

Publication date: 30 June 2021

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2018.10.017


zbMATH Keywords

supermodularitysubmodularitylinear operatorsadditivity on subalgebrascanonical sequences monotone measures


Mathematics Subject Classification ID

Fuzzy measure theory (28E10)


Related Items (1)

A universal approach to imprecise probabilities in possibility theory




Cites Work

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  • Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
  • Submodular functions and optimization
  • Representation of the Choquet integral with the \(\sigma\)-additive Möbius transform
  • Aggregation functions and capacities
  • Interaction transform of set functions over a finite set
  • Cores of exact games. I
  • When fuzzy measures are upper envelopes of probability measures
  • Theory of capacities
  • Generalized Measure Theory
  • On some Transformations of Fuzzy Measures
  • Event-Based Transformations of Capacities




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