Δ-伪度量族与Menger概率度量空间

Family of Δ Pseudo Metrics and Menger Probabilistic Metric Spaces

引进了Δ－伪度量族概念，研究了Ｍｅｎｇｅｒ概率度量空间与Δ－伪度量族生成空间的关系，证明了每个Ｍｅｎｇｅｒ概率度量空间（Ｅ，Ｆ，Δ）都可由Ｅ上的一个Δ－伪度量族｛ｄλ｝λ∈（０，１）所确定．

In this paper,the authors introduce the concept of the family of Δ pseudo metrics,and consider the relationships between Menger probabilistic metric space and space generated by family of Δ pseudo metrics.Authors prove that every Menger probabilistic metric space( E,F,Δ )can be defined by a family of Δ pseudo metrics {d λ} λ∈(0,1) on E .