Deng式伪度量在格上的推广

doi:10.12677/AAM.2014.34023

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AAM >> Vol. 3 No. 4 (November 2014)

Deng式伪度量在格上的推广
Generalization of Deng’s Pseudo-Metric on the Lattices

全文下载: PDF(416KB) HTML PP.155-159 DOI: 10.12677/AAM.2014.34023
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作者:

陈鹏,郭飞飞：河南科技大学，数学与统计学院，洛阳

关键词:
Deng伪度量；Shi伪度量；模糊点；L^x完全分配格；Deng’s Pseudo-Metric; Shi’s Pseudo-Metric； Fuzzy Point；L^x Completely Distributive Lattice

摘要:

本文研究了Deng式伪度量的一些性质，并给出了它的一种等价形式，由此把定义在I^x上的Deng式伪度量推广到完全分配格L^x上。

In this paper, we research some properties of Deng’s pseudo-metric, and show an equivalent form of its axioms. Therefore, we generalize Deng’s pseudo-metric from I^x to completely distributive lattice L^x。

文章引用:
陈鹏, 郭飞飞. Deng式伪度量在格上的推广[J]. 应用数学进展, 2014, 3(4): 155-159. http://dx.doi.org/10.12677/AAM.2014.34023

参考文献

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[6]	陈鹏 (2008) L-拓扑中几种度量的性质及其关系. 博士论文, 北京理工大学, 北京.

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AAM >> Vol. 3 No. 4 (November 2014)

Deng式伪度量在格上的推广Generalization of Deng’s Pseudo-Metric on the Lattices

Deng式伪度量在格上的推广
Generalization of Deng’s Pseudo-Metric on the Lattices