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Semi-parametric benchmark dose analysis with monotone additive models. [PDF]

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ON QUASI-MONOTONIC MEASURES

International Journal of General Systems, 1993
In this article, the concept of the quasi-monotonic measure is introduced. A motivating example of the quasi-momotonic measure is the degree of confidence in making a choice between two complementary propositions (confirming one proposition while disconfirming the other).
RONALD R. YAGER, DAZHI ZHANG
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Canonical sequences of monotone measures

Fuzzy Sets and Systems, 2020
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Bronevich, Andrey G., Rozenberg, Igor N.
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AGGREGATION FUNCTIONS WITH NON-MONOTONIC MEASURES

FUZZY ECONOMIC REVIEW, 2008
In this paper non-monotonic measures and their properties are considered and described. Subsequently we study discrete non-monotonic Choquet integral under the viewpoint of aggregation, and its axiomatic characterization. Moreover, we show that for non-monotonic measures the Shapley index can fail to represent the relative importance of a criterion ...
CARDIN, Marta, GIOVE, Silvio
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BALAYAGE MONOTONOUS RISK MEASURES

International Journal of Theoretical and Applied Finance, 2004
We consider coherent risk measures satisfying the Fatou property which are monotonous with respect to balayage or dilatation. An equivalent condition ensuring balayage-monotonicity is given and a representation result is derived.
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