Pseudometric generating property and autocontinuity of fuzzy measures

被引：11
|
作者：
Jiang, QS [1 ]
Wang, SR
Ziou, D
Wang, ZY
Klir, GJ
机构：
[1] Univ Sherbrooke, Dept Math & Comp Sci, Sherbrooke, PQ J1K 2R1, Canada
[2] SUNY Binghamton, Dept Syst Sci & Ind Engn, Thomas J Watson Sch Engn & Appl Sci, Binghamton, NY 13902 USA
来源：
FUZZY SETS AND SYSTEMS | 2000年 / 112卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
fuzzy measure; exhaustivity; pseudometric-generating property; autocontinuity; subadditivity; absolute continuity; atom;
D O I：
10.1016/S0165-0114(97)00395-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Several necessary and sufficient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the pseudometric generating property and autocontinuity of fuzzy measures is depicted by using the absolute continuity and exhaustivity. Moreover, any uniformly autocontinuous finite fuzzy measure is equivalent to a subadditive finite fuzzy measure. A further research on purely atomic fuzzy measures is also made. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：207 / 216
页数：10
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