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Convergence theorems for monotone measures

Fuzzy Sets and Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Li 0014   +3 more
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Monotonicity of power and power measures

Theory and Decision, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Holler, Manfred J., Napel, Stefan
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The RCI as a Measure of Monotonic Dependence

2014
In this paper a statistical interpretation of a recent measure, called “Rank-based Concordance Index” (RCI), in terms of monotonic dependence relationship between a non-negative dependent variable and a quantitative independent one is provided. Due to its rank-based construction, the measure presents properties and features that make it suitable also ...
E. Raffinetti, P.A. Ferrari
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Constrained Monotonicity and the Measurement of Power

Theory and Decision, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Holler, Manfred J.   +2 more
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Generalized subadditivity and superadditivity of monotone measures

Fuzzy Sets and Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Li 0014   +3 more
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Generalized convergence theorems for monotone measures

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Li 0014, Yao Ouyang, Radko Mesiar
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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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Pseudo-addition of monotone measures and integrals

2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2016
Let (X, A) be a fixed measurable space and two monotone measures μ 1 and μ2 two monotone measures defined on A, we consider the pseudo-addition μ1 ⊕ μ2 of these two monotone measures. It is a new monotone measure λ. Such a monotone measure is absolutely continuous with respect to μ1 and μ2.
Xiaoli Hu   +3 more
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Absolute Continuity of Monotone Measure and Convergence in Measure

2010
In this note, the concept of strong absolute continuity of set function is introduced in two different ways. By using the two types of strong absolute continuity of monotone measure, the inheriting of convergence a.e. and convergence in measure for sequence of measurable function under the common addition operation is shown, respectively.
Jun Li 0014   +2 more
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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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