منابع مشابه
On the Choquet integral for Riesz space valued measures
The Choquet integral is defined for a real function with respect to a fuzzy measure taking values in a complete Riesz space. As applications there are presented: constructions of belief and plausibility measures, the formulation of an extension principle, and the Möbius transform for vector values measures.
متن کاملThe Egoroff Theorem for Riesz Space-valued Monotone Measures
In 1974, Sugeno introduced the notion of fuzzy measure and integral to evaluate nonadditive or non-linear quality in systems engineering. In the same year, Dobrakov independently introduced the notion of submeasure from mathematical point of view to show that most of the theory of countably additive measures remain valid for such measures. Fuzzy measures and submeasures are both special kinds o...
متن کاملNew Smoothness Conditions on Riesz Spaces with Applications to Riesz Space-valued Non-additive Measures and Their Choquet Integrals
In this summary we introduce a successful analogue of the classical Egoroff theorem for non-additive measures with values in a Riesz space having the asymptotic Egoroff property.
متن کاملThe Bounded Convergence Theorem for Riesz Space-Valued Choquet Integrals
The bounded convergence theorem on the Riesz space-valued Choquet integral is formalized for a sequence of measurable functions converging in measure and in distribution. 2010 Mathematics Subject Classification: Primary 28B15; Secondary 28A12, 28E10
متن کاملThe Concave Integral with respect to Riesz space-valued Capacities
A definition of concave integral is given for real-valued maps and with respect to Dedekind complete Riesz space-valued “capacities”. Some comparison results with other integrals are given and some convergence theorems are proved.
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2016
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1411-23