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电子学报  2015 

MTL代数语义上逻辑公式的概率真度

DOI: 10.3969/j.issn.0372-2112.2015.02.014, PP. 293-298

Keywords: MTL代数,L-赋值,概率真度,概率逻辑度量空间,程度化推理

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Abstract:

基于L-赋值理论,通过在MTL代数赋值格和全体公式集上分别建立概率测度,利用积分方法提出了MTL代数语义上公式的概率真度.证明了概率真度的MP规则、HS规则及交推理规则;同时引入公式间的概率相似度和伪距离,建立了概率逻辑度量空间.将计量逻辑学中的相关理论推广到基于MTL代数语义的格值逻辑上,使得在格值逻辑上进行程度化推理成为可能.

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