运筹与模糊学

Vol.4 No.4 (November 2014)

Fuzzy格上两种点式伪度量之间的关系
The Relation of Two Kinds of Pointed Pseudo-Metrics on Fuzzy Lattice

 

作者:

陈 鹏 :河南科技大学,数学与统计学院,洛阳

 

关键词:

Erceg伪度量点式伪度量Fuzzy格Erceg Pseudo-Metric A Pointwise Pseudo-Metric Fuzzy Lattice

 

摘要:

本文否定了文[1]的主要结果:一个点式Erceg伪度量是一个点式伪度量,并进一步给出相反的新的结论:一个点式伪度量是一个点式Erceg伪度量但反之不成立。

In this paper, we negative the main result that an Erceg pseudo-metric is a pointwise pseudo-me- tric in [1], point out the wrong reasons in the process of its proof, and further put forward the new conclusion that a pointwise pseudo-metric is an Erceg pseudo-metric, but the converse is not true.

文章引用:

陈 鹏 (2014) Fuzzy格上两种点式伪度量之间的关系。 运筹与模糊学, 4, 47-51. doi: 10.12677/ORF.2014.44007

 

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