Choquet integral with respect to a symmetric fuzzy measure of a function on the real line

Narukawa Yasuo; Torra Vicenc; Sugeno Michio

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Choquet integral with respect to a symmetric fuzzy measure of a function on the real line

机译：关于实线上函数的对称模糊测度的Choquet积分

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摘要

Some results about the calculation of the Choquet integral of a monotone function are presented. The construction of monotone functions from non-monotone ones that lead to the same Choquet integral is studied.

机译：给出了有关单调函数的Choquet积分计算的一些结果。研究了从非单调函数到相同Choquet积分的单调函数的构造。

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来源
《Annals of Operations Research 》 |2016年第2期| 571-581| 共11页
作者
Narukawa Yasuo; Torra Vicenc; Sugeno Michio;
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作者单位

Toho Gakuen 3-1-10,Naka Ku, Kunitachi, Tokyo 1860004, Japan|Tokyo Inst Technol, Dept Computat Intelligence & Syst Sci, Midori Ku, 4259 Nagatuta, Yokohama, Kanagawa 2268502, Japan;

CSIC, IIIA, Campus UAB S-N, Bellaterra 08193, Catalonia, Spain;

European Ctr Soft Comp, Mieres Asturias 33600, Spain;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy measure; Non-additive measure; Choquet integral; Aggregation operator; OWA operator; WOWA operator;

机译：模糊测度;非加性测度;球积分;聚集算子;OWA算子;WOWA算子;

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1. Choquet Integral of Fuzzy-Number-Valued Functions: The Differentiability of the Primitive with respect to Fuzzy Measures and Choquet Integral Equations [J] . ZengtaiGong, LiChen, GangDuan Abstract and applied analysis . 2014 ,第8期

机译：模糊数量函数的Choquet积分：基于模糊测量和Choquet整体方程的原语的可差异性
2. Some characterizations and convergence properties of the choquet integral with respect to a fuzzy measure of fuzzy complex valued functions [J] . Jang L.-C. Journal of computational analysis and applications . 2013 ,第6期

机译：关于模糊复数值函数的模糊测度，弦门积分的一些特征和收敛性
3. Fuzzy number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets [J] . Congxin Wu, Deli Zhang, Bokan Zhang Fuzzy Sets and Systems . 1999 ,第1期

机译：模糊数模糊测度和模糊积分。（II）。关于模糊集上模糊数模糊测度的模糊值函数的模糊积分
4. Integral Representations of a Coherent Upper Conditional Prevision by the Symmetric Choquet Integral and the Asymmetric Choquet Integral with Respect to Hausdorff Outer Measures [C] . Serena Doria International conference on scalable uncertainty management . 2018

机译：关于Hausdorff外部测度的对称Choquet积分和不对称Choquet积分的相干上条件前提的积分表示。
5. Two approaches to fuzzy measure theory: integrals based on pseudo-addition and Choquet's integral [D] . 室伏俊明. 1987

机译：模糊测度理论的两种方法：基于伪加法的积分和Choquet积分
6. Choquet integral-based fuzzy molecular characterizations: when global definitions are computed from the dependency among atom/bond contributions (LOVIs/LOEIs) [O] . César R. García-Jacas, Lisset Cabrera-Leyva, Yovani Marrero-Ponce, 2018

机译：基于Choquet积分的模糊分子表征：根据原子/键贡献（LOVIs / LOEIs）之间的依赖性计算全局定义时
7. Choquet integral with respect to a symmetric fuzzy measure of a function on the real line [O] . Narukawa Yasuo, Torra Vicenç, Sugeno Michio 2016

机译：关于实线上函数的对称模糊测度的Choquet积分

Choquet integral with respect to a symmetric fuzzy measure of a function on the real line

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