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三值Lukasiewicz逻辑中命题的条件真度理论
Conditional truth degree of propositions in 3-valued Lukasiewicz logic
【摘要】 利用条件概率的思想在Lukasiewicz三值命题逻辑中引入公式的条件真度概念,并给出条件真度的一些性质;以条件真度定义公式相似度,进而导出全体公式集上的一种伪距离,这为三值Lukasiewicz逻辑系统中给出在信息Γ下的近似推理理论提供了一种可能的框架。
【Abstract】 The paper,based on the idea of conditional probability,discusses the introduction of the conception of conditional truth degree of formulas into the 3-valued Lukasiewicz propositions logic and offers illustration of some of its quality.The definition of similarity degree between formulas according to the conditional truth degree is followed by the application of similarity degree between formulas to deduce a kind of peseudo-metric on the set of all formulas,which provides possible framework for approximate reasoning under the message Γ in the logic system of 3-valued Lukasiewicz.
【Key words】 mathematical logic; 3-valued Lukasiewicz logic; conditional truth degree; similarity degree; approximate reasoning;
- 【文献出处】 黑龙江科技学院学报 ,Journal of Heilongjiang Institute of Science and Technology , 编辑部邮箱 ,2008年03期
- 【分类号】O141
- 【被引频次】5
- 【下载频次】84