Results 231 to 240 of about 6,208 (267)

Lusin's theorem on monotone measure spaces

Fuzzy Sets and Systems, 2011
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Jun Li 0014, Radko Mesiar
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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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On Measures of Monotone Association

The American Statistician, 1986
Abstract A family of coefficients for measuring monotone association is presented. These include measures of association of ordinal or interval variables such as gamma of Goodman and Kruskal, Somers's dyx , Kendall's tau, or Spearman's rho as special cases. The article shows how a large number of measures of association can be put into a single general
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A note on the space of fuzzy measurable functions for a monotone measure

Fuzzy Sets and Systems, 2011
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Chong Wu 0001, Xuekun Ren, Congxin Wu
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On a Non-monotonicity Effect of Similarity Measures

2011
The effect of non-monotonicity of similarity measures is addressed which can be observed when measuring the similarity between patterns with increasing displacement. This effect becomes the more apparent the less smooth the pattern is. It is proven that commonly used similarity measures like f-divergence measures or kernel functions show this non ...
Bernhard Moser 0001, Gernot Stübl, Jean-Luc Bouchot   +2 more
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Monotonous structure measures for social groups

Scientometrics, 1991
Abstract  The structure measure byKretschmer 1 estimates the cooperation of a scientist. It is generalized in such a way that it increases with respect to the cooperation strengh with one of the collaborators. An alternative to the hierarchical structure measure is proposed which is continuous in all cooperation strengths.
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On Weak Null-Additivity of Monotone Measures

2012
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 ...
Jun Li 0014, Radko Mesiar, Hemin Wu
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Partial monotonicity of entropy measures

Statistics & Probability Letters, 2012
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Shangari, Dhruv, Chen, Jiahua
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Monotone Measures-Based Integrals

2015
The theory of classical measures and integral reflects the genuine property of several quantities in standard physics and/or geometry, namely the σ-additivity. Though monotone measure not assuming σ-additivity appeared naturally in models extending the classical ones (for example, inner and outer measures, where the related integral was considered by ...
Erich P. Klement, Radko Mesiar
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Extended Extremal Monotone Measures

2012
The basic properties of extended extremal monotone measure are considered, and several variants of their representation are given. In considering extremal monotone measures, several transformation theorems are proved for extended lower and upper Sugeno integrals. Extended extremal conditional monotone measures are defined. The notions of extremal fuzzy
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