Computing Choquet integrals

被引:6
|
作者
Chitescu, Ion [1 ,2 ]
Plavitu, Anca [2 ,3 ]
机构
[1] Univ Bucharest, Fac Math & Comp Sci, Dept Math, Acad Str 14, Bucharest 010014, Romania
[2] Univ Pitesti, Fac Math & Comp Sci, Dept Math & Comp Sci, Targul Vale Str 1, Pitesti 110040, Romania
[3] Hyperion Univ Bucharest, Fac Exact Sci & Engn, Dept Exact Sci & Engn, Calea Calarasilor Str 169, Bucharest 030615, Romania
关键词
Monotone measure; Measurable function; Choquet integral; Semimetric space;
D O I
10.1016/j.fss.2017.02.009
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present two concrete methods for the computation of the Choquet integral of a positive measurable function. Both methods are based upon the truncation and the discretization of the function involved, the second method being associated with an iterative topological procedure. Computer aided procedures (with preassigned precision), illustrating the aforementioned methods, are introduced. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:48 / 68
页数:21
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