منابع مشابه
A Note on the Monotone Interval-valued Set Function Defined by the Interval-valued Choquet Integral
At first, we consider nonnegative monotone interval-valued set functions and nonnegative measurable interval-valued functions. In this paper we investigate some properties and structural characteristics of the monotone interval-valued set function defined by an interval-valued Choquet integral.
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Let (Ω, d) be a metric space and let B be a partition of Ω. For every set B of B with positive and finite Hausdorff outer measure in its Hausdorff dimension, a coherent conditional measure of risk is defined as the Choquet integral with respect to Hausdorff outer measure. Two risks are defined to be s-independent if the atoms of the classes generated by their weak upper level sets are s-indepen...
متن کاملIdentification of Monotone Measures
Identification of monotone measures is a very challenge process. Based on an existing data set of a set function (or, set functions) defined on the power set of a given finite universal set, to determine a monotone measure, simply switching the values of the given set function that violate the monotonicity is not the optimal way and it also causes some side effects. The paper proposes an algori...
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In this paper, some properties of the monotone set-valued function defined by the set-valued Choquet integral are discussed. It is shown that several important structural characteristics of the original set function, such as null-additivity, strong order continuity, property(S) and pseudometric generating property, etc., are preserved by the new set-valued function. It is also shown that integr...
متن کاملOn Singleton Arc Consistency for CSPs Defined by Monotone Patterns
Singleton arc consistency is an important type of local consistency which has been recently shown to solve all constraint satisfaction problems (CSPs) over constraint languages of bounded width. We aim to characterise all classes of CSPs defined by a forbidden pattern that are solved by singleton arc consistency and closed under removing constraints. We identify five new patterns whose absence ...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2018
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2018.86031