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系统L_n中公式相对于有限理论的Г-绝对真度理论
引用本文:许格妮,关晓红.系统L_n中公式相对于有限理论的Г-绝对真度理论[J].数学的实践与认识,2010(5).
作者姓名:许格妮  关晓红
作者单位:西安财经学院统计学院;河南师范大学数学与信息科学学院;
摘    要:将多值逻辑中的∑-α重言式理论与计量逻辑学中的真度理论相结合,在n值Lukasiewicz命题逻辑系统中引入了公式相对于有限理论Γ的Γ-绝对真度概念,讨论了它的若干性质.利用Γ-绝对真度定义了公式间的Γ-绝对相似度与伪距离,为进一步建立n值Lukasiewicz命题逻辑系统相对于有限理论Γ的近似推理奠定了基础.

关 键 词:Г-绝对真度  Г-绝对相似度  伪距离  近似推理

The Theory of Г-Absolute Ttruth Degree Being Relative to Finite Theory in Logic System L_n
XU Ge-ni,GUAN Xiao-hong.The Theory of Г-Absolute Ttruth Degree Being Relative to Finite Theory in Logic System L_n[J].Mathematics in Practice and Theory,2010(5).
Authors:XU Ge-ni  GUAN Xiao-hong
Institution:XU Ge-ni~1,GUAN Xiao-hong~2 (1.School of Statistics Xi\'an university of Finance , Economics,Xi\'an 710061,China) (2.Department of Mathematics , Information Science Henan Normal University,Xinxiang 453007,China)
Abstract:Having combination of the theory of truth degree in quantitative logic with the theory ofΣ—α-tautorogies in fuzzy logic,the concept ofΓ-absolute truth degree being relative to finite theoryΓwas introduced in n-valued Lukasiewicz propositional logic system,and its properties were discussed.Also theΓ-absolute similarity degree and pseudo-distance between two formulas were defined by using theΓ-absolute truth degree,providing a basis for further establishing approximate reasoning theory being relative to finite theory in logic system L_n.
Keywords:Γ-absolute truth degree  Γ-absolute similarity degree  pseudo-distance  approximate reasoning
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