模糊格推理(FLR)在格值逻辑中的扩展

2012 16th Panhellenic Conference on Informatics Pub Date : 2012-10-05 DOI:10.1109/PCi.2012.40

V. Kaburlasos

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引用次数: 4

摘要

本文引入了布尔(商)格(QI，)，该格的一个元素是实线上可数(闭)区间的并。由此可知(QI，∪，∩，')是一个格蕴涵代数(LIA)，后者是不确定条件下推理的建立框架。在(QI，∪，∩，')中说明了用于可调决策的模糊格推理(FLR)技术是如何扩展到格值逻辑的。描述了潜在的实际应用。

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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Fuzzy Lattice Reasoning (FLR) Extensions to Lattice-Valued Logic

This work introduces the Boolean (quotient) lattice (Q_I, ⊆), an element of whom is the union of countable (closed) intervals on the real line. It follows that (Q_I, ∪, ∩, ') is a lattice implication algebra (LIA), the latter is an established framework for reasoning under uncertainty. It is illustrated in (Q_I, ∪, ∩, ') how fuzzy lattice reasoning (FLR) techniques, for tunable decision-making, can be extended to lattice-valued logic. Potential practical applications are described.

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2012 16th Panhellenic Conference on Informatics

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