Frank三角范数的三值模糊逻辑系统的真度理论  

Truth Degree Theory of 3-valued Fuzzy Logic System Based on Frank Triangular Norm

作　　者：马盈仓[1] 张美[1] 崔美英[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《广西师范大学学报（自然科学版）》2011年第3期84-88,共5页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(60273087;60775038);陕西省教育厅专项科研计划项目(2010JK567)

摘　　要：本文在Frank三角范数的三值R-蕴涵模糊逻辑系统中,借助逻辑公式A所诱导的函数,建立逻辑公式A的真度概念,得到一些三值R-蕴涵逻辑系统下的真度推理规则。同时,利用真度定义公式间的相似度和伪距离,给出相似度和伪距离的性质,为Frank三角范数命题逻辑系统中的近似推理提供了一种理论框架。By means of the function induced by a logical formula A,the concept of integral truth of the logical formula A is introduced in 3-valued R-implication fuzzy logic system based on Frank Triangular Norm,and some reasoning rules of truth degree based on 3-valued R-implication logic system are given.Moreover,the similarity degree and pseudo-distance between two formulas are defined by using the truth degree concept,and their properties are discussed.This offers a theoretical framework for approximate reasoning in Frank Triangular Norm proposition logic system.

关 键 词：真度 相似度 伪距离 

分 类 号：O141.1[理学—数学] TP18[理学—基础数学]