属性逻辑的近似推理模式研究

doi:10.3778/j.issn.1673-9418.2108063

摘要/Abstract

摘要： 近似推理是进行知识推理的有效工具。将计量逻辑中全蕴含三I推理、基于真度的近似推理模式应用到基于形式背景的属性逻辑中，给出基于属性逻辑的全蕴含三I推理的广义MP规则和广义MT规则的解，并提出若干基于广义MP规则和广义MT规则的近似推理方法。引入属性逻辑公式的真度、属性逻辑公式间的伪距离，提出基于属性逻辑伪距离的近似推理方法，讨论基于广义MP规则、广义MT规则的近似推理和基于属性逻辑伪距离的近似推理之间的联系。

关键词: 形式背景, 量词逻辑, 属性逻辑, 粒描述, 近似推理

Abstract: Approximate reasoning is an effective tool for knowledge reasoning. The triple-I reasoning for all implication and truth-based approximate reasoning model in quantitative logic are applied to attribute logic based on formal context. The solutions of generalized MP rules and MT rules based on the triple-I reasoning for all implication in attribute logic are given, and some approximate reasoning methods based on the generalized MP rules and MT rules are proposed. The truth-degree of attribute logic formula and the pseudo-distance between attribute logic formulas are introduced. An approximate reasoning method based on the pseudo-distance of attribute logic formula is proposed. The relation between the approximate reasoning methods based on the generalized MP rules and MT rules and approximate reasoning method based on the pseudo-distance of attribute logic formula is discussed.

Key words: formal context, quantitative logic, attribute logic, granular description, approximate reasoning

张家录, 吴霞. 属性逻辑的近似推理模式研究[J]. 计算机科学与探索, 2023, 17(4): 848-856.

ZHANG Jialu, WU Xia. Study on Approximate Reasoning Models of Attribute Logic[J]. Journal of Frontiers of Computer Science and Technology, 2023, 17(4): 848-856.

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