在线阅读 --自然科学版 2000年2期《p-对称差度量的收敛判别法及极限表达式》
p-对称差度量的收敛判别法及极限表达式--[在线阅读]
李法朝, 李丽霞, 蔡习宁
河北科技大学理学院 河北 石家庄 050018
起止页码: 169--172页
DOI:
摘要
证明了支集一致有界的Fuzzy数序列{A~(n)}按p-平均对称差度量dΔp收敛于Fuzzy数A~的充分必要条件是:存在h∈[0,1],使得{an(λ)}和{bn(λ)}在[0,h]上几乎处处收敛,且∫1h[m(A(n)λ)]pdλ→0(n→∞)(此处,A(n)λ=[an(λ),bn(λ)]表示A~(n)的λ-截集);进而给出了Fuzzy数序列按dΔp收敛时的极限表达式

The Convergence Criterion and the Form of Representation of Limit p-mean Symmetric Difference Metric
LI Fa chao, LI Li xia, CAI Xi ning
College of Basic Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China
Abstract:
Show for the uniformly support bounded fuzzy numbers sequence {A~(n)},there exists a fuzzy number A~such that {A~(n)} converges to A~about p- mean symmetric difference metric if and only if there exists area l number h∈[0,1] such that{an(λ)} and {bn(λ)} almost everywhere convergeon [0,1] and ∫1h[m(A(n)λ)]pdλ→0(n→∞)(whereA(n)λ=[an(λ),bn(λ)]istheλ-cutofA~(n)).Further,give the form of representation of fuzzy number A~when the fuzzy numbers sequence {A~(n)} converges to A~aboutp-mean symmetric difference metric.

收稿日期: 1999-12-7
基金项目: 国家教育部高校博士点基金资助项目

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