基于剩余格语义的格值逻辑系统的程度化方法  

Graded Method of Lattice-Valued Logic System Based on Residuated Lattice Semantics

作　　者：左卫兵[1] 

机构地区：[1]华北水利水电大学数学与信息科学学院,河南郑州450046

出　　处：《电子学报》2017年第8期1842-1848,共7页Acta Electronica Sinica

基　　金：河南省基础与前沿技术研究计划(No.152300410112)

摘　　要：基于剩余格的赋值态理论,通过在剩余格全体赋值态集和全体公式集上分别建立概率测度,利用积分方法提出了剩余格语义上公式的概率真度,进而在剩余格语义上建立了概率逻辑度量空间,将计量逻辑学中近似推理方法推广到剩余格语义上,为剩余格语义的概率计量化提供了一种可行的方法.Based on evaluation state theory of residuated lattice and by defining probability measure in set of all evaluation states of residuated lattice and set of all formulate respectively,the probability truth degree of formula in residuated lattices semantics is introduced using the integral method,then the probability logic metric space is established in residuated lattices semantics,the approximate reasoning of quantitative logic methods have been entended to residuated lattices semantics,the feasible graded method of residuated lattices semantics is provided.

关 键 词：剩余格 赋值态 概率真度 概率逻辑度量空间 近似推理 

分 类 号：O141.1[理学—数学] O153.1[理学—基础数学]