Distances defined by Choquet integral

被引：0

作者：

Narukawa, Yasuo ^{[1
]}

机构：

[1] Toho Gakuen, Kunitachi, Tokyo 1860004, Japan

来源：

2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4 | 2007年

关键词：

non-additive measure; fuzzy measure; Choquet integral; distances of fuzzy sets; Hausdorff metric;

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：

Some important inequalities in functional analysis are shown for the non-additive measure theory. As an application of the inequalities, the distances between fuzzy sets, which are generalisations of well-known distances, are introduced.

引用

页码：510 / 515

页数：6

共 25 条

[1]

[Anonymous], 1925, ANN MAT PUR APPL, DOI DOI 10.1007/BF02409934

[2]

[Anonymous], 2000, FUZZY MEASURES INTEG

[3] Relationship among continuity conditions and null-additivity conditions in non-additive measure theory [J].

Asahina, S ;

Uchino, K ;

Murofushi, T .

FUZZY SETS AND SYSTEMS, 2006, 157 (05) :691-698

[4]

AUMANN RJ, 1974, VALUES NON ATOMIC GA

[5] On fuzzy distances and their use in image processing under imprecision [J].

Bloch, I .

PATTERN RECOGNITION, 1999, 32 (11) :1873-1895

[6]

Choquet G., 1954, ANN I FOURIER GRENOB, V5, P131, DOI [DOI 10.5802/AIF.53, https://doi.org/10.5802/aif.53]

[7]

Dellacherie C., 1971, LNAI, V191, P77

[8]

DENNEBERG D, 1994, NON ADDITIVE MEASURE

[9] METRIC-SPACES OF FUZZY-SETS [J].

DIAMOND, P ;

KLOEDEN, P .

FUZZY SETS AND SYSTEMS, 1990, 35 (02) :241-249

[10]

DIAMOND P, 1992, FUZZY SET SYST, V45, P123, DOI 10.1016/0165-0114(92)90099-P

← 1 2 3 →