A note on the null-additivity of the fuzzy measure: Corrigendum to "On the null-additivity of the fuzzy measure" [Fuzzy Sets and Systems 78 (1996) 337-339]

被引：1

作者：

Li, J ^{[1
]}

机构：

[1] Southeast Univ, Dept Appl Math, Nanjing 210096, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2002年 / 125卷 / 02期

关键词：

non-additive measures; fuzzy measure; null-additivity; Egoroff's theorem;

D O I：

10.1016/S0165-0114(01)00173-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we point out that Theorems 2 and 2' shown in the paper "On the null-additivity of the fuzzy measure" (Fuzzy Sets and Systems 78 (1996) 337-339) are not valid, and we also introduce a weaker condition than the null-additivity of a set function to correct the results. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：269 / 271

页数：3

共 7 条

[1] On the null-additivity of the fuzzy measure
Wu, CX
Ha, MH
Xue, XP
FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 337 - 339
[2] On the null-additivity of the fuzzy measure
Fuzzy Sets Syst, 3 (337):
[3] ON THE NULL-ADDITIVITY AND THE AUTOCONTINUITY OF A FUZZY MEASURE
WANG, ZY
FUZZY SETS AND SYSTEMS, 1992, 45 (02) : 223 - 226
[4] ON THE NULL-ADDITIVITY AND THE UNIFORM AUTOCONTINUITY OF A FUZZY MEASURE
WU, CX
HA, MH
FUZZY SETS AND SYSTEMS, 1993, 58 (02) : 243 - 245
[5] Relationship among continuity conditions and null-additivity conditions in non-additive measure theory
Asahina, S
Uchino, K
Murofushi, T
FUZZY SETS AND SYSTEMS, 2006, 157 (05) : 691 - 698
[6] A note on the range of null-additive fuzzy and non-fuzzy measure
Wu, CX
Wu, W
FUZZY SETS AND SYSTEMS, 2000, 110 (01) : 145 - 148
[7] Relationship among continuity conditions and null-additivity conditions in non-additive measure theory (vol 157, pg 691, 2006)
Asahina, S
Uchino, K
Murofushi, T
FUZZY SETS AND SYSTEMS, 2006, 157 (15) : 2144 - 2144

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