期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Convergence Criterion and the Form of Representation of Limit p-mean Symmetric Difference Metric
摘要/Abstract
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
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.