Choquet Integral on Multisets

被引：0

作者：

Narukawa, Yasuo ^{[1
,2
]}

Torra, Vicenc ^{[3
]}

机构：

[1] Toho Gakuen, 3-1-10 Naka, Tokyo 1860004, Japan

[2] Tokyo Inst Technol, Dept Computat Intelligence & Syst Sci, Midori Ku, Yokohama, Kanagawa 2268502, Japan

[3] IIIA CSIC, Bellaterra 08193, Spain

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT I | 2014年 / 442卷

关键词：

Fuzzy measure; multiset; Choquet integral; Sugeno integral; Generalized fuzzy integral; FUZZY MEASURES; RESPECT;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Fuzzy measures on multisets are studied in this paper. We show that a class of multisets on a finite space can be represented as a subset of positive integers. Comonotonicity for multisets are defined. We show that a fuzzy measure on multisets with some comonotonicity condition can be represented by a generalized fuzzy integral.

引用

页码：276 / 283

页数：8

共 17 条

[1]

[Anonymous], 2006, ASS FUNCTIONS TRIANG

[2]

[Anonymous], 2014, Non-Additive Measures: Theory and Applications

[3]

[Anonymous], 2002, Handbook of measure theory

[4]

[Anonymous], 1971, Lecture notes in math