Monotone Set-Valued Function Defined by Set-Valued Choquet Integral |
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Authors: | SUN Hong-xia and ZHANG Qiang |
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Affiliation: | School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China |
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Abstract: | Structural characteristics and absolute continuities of monotone set-valued function defined by set-valued Choquet integral are discussed. Similar to the single-valued monotone set function,several important structural characteristics of set-valued function are defined and have been proven the same as those in the original set functions,such as null-additivity,weakly null-additivity,order continuity,strong order continuity and property(S). A counterexample shows that order continuity and strong order contin... |
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Keywords: | monotone set-valued function set-valued Choquet integral Choquet integral |
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