用类比法完善符号域规则库

H. Prade, S. Schockaert
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引用次数: 11

摘要

本文考虑了补全一组并行if-then规则的问题,这些规则提供了结论变量如何依赖于条件变量的值的部分描述,其中每个变量在有限有序的标签集中取其值。所提出的方法不需要使用模糊集来解释这些标签或定义相似性度量,而是依赖于在几个平行规则的标签之间保持每个变量的类比比例的基础上对缺失规则的外推。在包含Eukasiewicz蕴涵的逻辑表达式的基础上,计算了二元和多值变量的类比比例。基本假设是,由给定规则部分指定的映射与这些规则所建议的一样规则。并与其他方法进行了比较讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Completing rule bases in symbolic domains by analogy making
The paper considers the problem of completing a set of parallel if-then rules that provides a partial description of how a conclusion variable depends on the values of condition variables, where each variable takes its value among a finite ordered set of labels. The proposed approach does not require the use of fuzzy sets for the interpretation of these labels or for defining similarity measures, but rather relies on the extrapolation of missing rules on the basis of analogical proportions that hold for each variable between the labels of several parallel rules. The analogical proportions are evaluated for binary and multiple-valued variables on the basis of a logical expression involving Eukasiewicz implication. The underlying assumption is that the mapping partially specified by the given rules is as regular as suggested by these rules. A comparative discussion with other approaches is presented.
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