منابع مشابه
Monotone set-valued functions defined by set-valued Choquet integrals
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...
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In a Euclidean space , the Lebesgue-Stieltjes integral of set-valued stochastic processes d R , 0, t F F t T with respect to real valued finite variation process , 0, t A t T t is defined directly by employing all integrably bounded selections instead of taking the decomposable closure appearing in some existed references. We shall show that this kind of integr...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1985
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700009357