摘要
在给定的K-拟可加模糊测度空间上,借助于引进新拟乘法算子""给出了广义Sugeno模糊积分定义,依据拟加法和拟乘法定义及运算性质,研究了这种广义Sugeno模糊积分的次可加性乃至次线性性,从而进一步丰富了模糊积分的理论。
In K-quasi-additive fuzzy measure spaces, the definition of generalized Sugeno fuzzy integrals was given by introducing the new quasi - multiplication operator " ×". By applying the definitions and operating properties of quasi - addition and quasi - multiplication, the subadditivity and sublinearity of the integral are studied, by which the fuzzy integral theory can be further enriched.
出处
《辽东学院学报(自然科学版)》
CAS
2010年第1期80-82,92,共4页
Journal of Eastern Liaoning University:Natural Science Edition
关键词
模糊积发
广义Sugeno模糊积分
诱导算子
拟加法
拟乘法
K-拟可加模糊测度
fuzzy integrals
inductive operator
quasi-addition
quasi-multiplication
K-quasi-additive fuzzy measure
generalized Sugeno fuzzy integrals