On Lebesgue-type theorems for interval-valued Choquet integrals with respect to a monotone set function
نویسندگان
چکیده
منابع مشابه
Some Characterizations of the Choquet Integral with Respect to a Monotone Interval-Valued Set Function
Intervals can be used in the representation of uncertainty. In this regard, we consider monotone interval-valued set functions and the Choquet integral. This paper investigates characterizations of monotone interval-valued set functions and provides applications of the Choquet integral with respect to monotone interval-valued set functions, on the space of measurable functions with the Hausdorf...
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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...
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For a fixed finite universe U = {u1, . . . , un}, a fuzzy subset F of U is given by its membership function F : U → [0, 1] (we will not distinguish fuzzy subsets and the corresponding membership functions notations). For several practical purposes, especially in multicriteria decision making, the expected value E(F ) of F should be introduced. The original Zadeh approach in [11] was based on a ...
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ژورنال
عنوان ژورنال: Journal of Korean Institute of Intelligent Systems
سال: 2007
ISSN: 1976-9172
DOI: 10.5391/jkiis.2007.17.6.749