THEORY OF Γ-FUZZY TRUTH DEGREE RELATIVE TO FINITE THEORY IN LOGIC SYSTEM Rn

被引:0
|
作者
Xu, Ge Ni [1 ]
Li, Yong Ming [1 ]
机构
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源
QUANTITATIVE LOGIC AND SOFT COMPUTING | 2012年 / 5卷
关键词
Gamma-fuzzy truth degree; finite theory; Gamma-pseudo-metric; approximate reasoning; PROPOSITIONS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In order to establish a degree of reasoning mechanism in given specific conditions and provide a possible framework for approximate reasoning in n-valued propositional logic, the present paper introduces the concept of Gamma-fuzzy truth degree relative to finite theory in logical system R-n by combining the theory of truth degree in quantitative logic with the theory of Sigma-alpha-tautorogies in fuzzy logic and investigates its some properties, and a Gamma-similarity degree and intrinsically a Gamma-pseudo-metric between two formulas are defined therefrom, which offer a possible framework for developing a Gamma-approximate reasoning theory relative to finite theory in logical system R-n.
引用
收藏
页码:158 / 164
页数:7
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