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Vague命题逻辑与基于线性变换的近似推理

Keywords: 扩张原理, Vague命题逻辑, 线性变换, 近似推理方法

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Abstract:

针对vague命题与近似推理问题,研究了不同论域上的基本命题运算与推理表达。由集合的扩张原理,引入Vague命题上的基于连续三角模的广义合取/析取以及S-蕴涵与R-蕴涵运算。依据合成运算的定义给出vague线性变换的概念,提出基于vague线性变换的近似推理方法,进而得出单规则、多规则以及复合前提多规则的推理形式的表达。通过命题运算可实现多论域的各种vague环境下信息的聚合;与其他方法相比较,基于线性变换的推理方法具有操作简单、可选择性强等特点。

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