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《Systems Engineering-theory & Practice》 2004-02
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On Null-additivity of Generalized Fuzzy Valued Choquet Integrals

WANG Gui-jun, LI Xiao-ping (Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China)  
On an arbitrary subset in generalized fuzzy measure spaces, We establish so-called generalized fuzzy valued Choquet integral for a given \$μ\$-integrable fuzzy valued function, regard the whole this kind of integrals as a set functions taken fuzzy numbers on the measurable spaces. First, we obtain that this kind of integrals exactly constitute fuzzy valued (number ) measures, and then, we discuss that this kind of integrals have transitivity when generalized fuzzy measures satisfy subadditivity, superadditivity, null-additivity and converse-null-additivity.
【Fund】: 天津市高校科技发展基金(20031410);; 天津师范大学引进人才科研启动基金(1355RL016)
【CateGory Index】: O159
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