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首页> 外文期刊>Fuzzy sets and systems >Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator
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Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator

机译：将语言变量建模为由不可区分运算符引起的分区的分层族

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摘要

This work shows a method to obtain a hierarchy of partitions on the universe [0,1] in such a way that each of them is compatible with a refinement of Lukasiewicz indistinguishability operator. The classes of the partition at a given level present a relation of antonomy between them. Moreover, the partition at a certain level can be seen as the refinement of a previous level by means of a class of linguistic modifiers. Due to this fact, they seem appropriate for modeling linguistic labels of a linguistic variable. The associated indistinguishability operators show the increasing granularity when the number of classes rises up.
机译：这项工作显示了一种方法，该方法用于获取Universe [0,1]上的分区层次结构，以使每个分区都与Lukasiewicz不可区分算符的细化兼容。给定级别上的分区的类表示它们之间的关系。此外，通过一类语言修饰符，可以将某个级别的划分视为对先前级别的改进。由于这个事实，它们似乎适合于对语言变量的语言标签建模。当类的数量增加时，相关的不可区分性运算符将显示增加的粒度。

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