摘要
在K-拟可加模糊测度空间上应用已建立的广义Sugeno模糊积分模型,针对一类非负可积函数讨论了这种模糊积分的确界表示形式,进而给出描述拟加法运算与拟乘法运算关系的重要积分不等式及其特性,为进一步研究其收敛定理奠定了基础.
On K-quasi-additive fuzzy measure space,the generalized Sugeno fuzzy integral model is set up by K-quasi-multiplication operation,aiming at a class of non-negative integrable functions,representations of supremum about the fuzzy integral are discussed,and then an important integral inequality and its characteristics which describe relations between K-quasi-addition and K-quasi-multiplication operations are given.This has laid the foundation of further researching its convergence theorem.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2010年第4期376-380,共5页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(60974144)
关键词
诱导算子
拟加法
拟乘法
K-拟可加模糊测度
广义Sugeno模糊积分
Inductive operator
quasi-addition
quasi-multiplication
K-quasi-additive fuzzy measure
generalized Sugeno fuzzy integrals.
