一维平均相似度的表征

Q1 Mathematics

Journal of Applied Logic Pub Date : 2017-09-01 DOI:10.1016/j.jal.2016.11.003

D. Boixader, J. Recasens

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引用次数: 1

摘要

当t -不可分辨算子(或模糊相似关系)E可以从单个模糊子集(或模糊准则)中得到时，称为一维算子。本文研究了作为许多一维算子的平均而得到的t -不可分辨算子在什么情况下也是一维的。在这种情况下，用于生成E的单个模糊子集被显式地获得为主要涉及E构造的所有模糊准则的准算术平均值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Characterization of unidimensional averaged similarities

A T-indistinguishability operator (or fuzzy similarity relation) E is called unidimensional when it may be obtained from one single fuzzy subset (or fuzzy criterion). In this paper, we study when a T-indistinguishability operator that has been obtained as an average of many unidimensional ones is unidimensional too. In this case, the single fuzzy subset used to generate E is explicitly obtained as the quasi-arithmetic mean of all the fuzzy criteria primarily involved in the construction of E.

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