###
Journal of Software:2017.28(7):1629-1639

Goguen命题逻辑系统公理化扩张的Γ-k真度理论及性质
高晓莉,惠小静,朱乃调
(延安大学 数学与计算机科学学院, 陕西 延安 716000)
Theory and Property of Γ-k Truth Degree on Axiomatic Extension of Goguen Propositional Logic System
GAO Xiao-Li,HUI Xiao-Jing,ZHU Nai-Diao
(College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China)
Abstract
Chart / table
Reference
Similar Articles
Article :Browse 1015   Download 551
Received:January 27, 2016    Revised:April 27, 2016
> 中文摘要: 首先对n值Goguen命题逻辑进行公理化扩张,Goguen~,Δ,记为∏~,Δ.利用公式的诱导函数给出公式在kk任取~或Δ)连接词下相对于局部有限理论Γ的Γ-k真度的定义;讨论了∏~,Δ中Γ-k真度的MP规则、HS规则等相关性质;最后,在Γ-k中定义了两公式间的Γ-k相似度与Γ-k伪距离,得到了公式在k连接词下相对于局部有限理论Γ-k的相似度与Γ-k伪距离所具有的一些良好性质.
Abstract:Axiomatic extensions of n-valued Goguen propositional logic system denoted as ∏~,Δ is first studied in this paper. Using induced function, the definition of Γ-k truth degree of formula relative to local finite theory Γ under the k conjunction is given. The MP rule, HS rule, and some correlation properties are also discussed. Finally, the definition of Γ-k similarity degree and Γ-k pseudo-metric in ∏~,Δ between two formulas is presented, and some good properties about Γ-k similarity degree and Γ-k pseudo-metric relative to local finite theory Γ under the k conjunction are simultaneously obtained.
文章编号:     中图分类号:    文献标志码:
基金项目:国家自然科学基金(11471007);陕西省自然科学基金(2014JM1020);延安大学研究生创新基金资助项目(YCX201612) 国家自然科学基金(11471007);陕西省自然科学基金(2014JM1020);延安大学研究生创新基金资助项目(YCX201612)
Foundation items:National Natural Science Foundation of China (11471007); Natural Science Foundation of Shaanxi Province of China (2014JM1020); Graduate Innovation Fund of Yan’an University (YCX201612)
Reference text:

高晓莉,惠小静,朱乃调.Goguen命题逻辑系统公理化扩张的Γ-k真度理论及性质.软件学报,2017,28(7):1629-1639

GAO Xiao-Li,HUI Xiao-Jing,ZHU Nai-Diao.Theory and Property of Γ-k Truth Degree on Axiomatic Extension of Goguen Propositional Logic System.Journal of Software,2017,28(7):1629-1639