摘要
给出了区间值模糊集的弱包含概念,并在弱包含概念的基础上定义了区间值模糊集的上下近似及其粗糙度、得到了区间值模糊集上下近似的性质,并且验证了本文定义的区间值模糊集的λ上下近似比文献[1]中提出的λ上下近似逼近程度更高,粗糙度更小。
In this paper, weak inclusion of an interval-valued fuzzy set is defined. Futhermore based on the definition upper and lower approximation of an interval-valued fuzzy set are given, as well as a parameterize roughness measure and related properties. At the same time,the conclusion is certified that 2 upper and lower approximation and rough measure defined in the paper have a good advantage over those defined in the paper [1].
出处
《模糊系统与数学》
CSCD
北大核心
2009年第2期155-161,共7页
Fuzzy Systems and Mathematics
基金
国家“九七三”重大基础研究计划基金资助项目(2002CB312200)
国家自然科学基金资助项目(60724049)
国家863高技术计划课题(2006AA04Z163)
关键词
区间值
可能度
区间值模糊集
弱包含
上下近似
粗糙度
Interval Value
Possibility Degree
Interval-valued Fuzzy Set
Weak Inclusion
Upper and Lower Approximation
Rough Measure
