A New Theory of T Truth Degree on Godel n-Valued Propositional Logic System

被引:0
|
作者
Zhu, Nai-Diao [1 ]
Hui, Xiao-Jing [1 ]
Gao, Xiao-Li [1 ]
机构
[1] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Peoples R China
基金
中国国家自然科学基金;
关键词
T truth degree; T similarity degree; T pseudo-metric; T divergent degree; T consistent degree; FUZZY LOGICS;
D O I
10.1007/978-3-319-46206-6_7
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
By adding new operators Delta and similar to, axiomatic expansion of Godel n-valued propositional logic system is introduced, which is denoted by Godel similar to. In this paper, the concept of t truth degree of propositional formula is put forward in Godel similar to (t take Delta,similar to), and the MP rule, HS rule and some related properties are studied; the concepts of t similarity degree, t pseudo-metric between propositional formulas, and t divergent degree and t consistent degree of theory Gamma in Godel similar to are obtained, and their correlation properties are discussed.
引用
收藏
页码:59 / 70
页数:12
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