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修正的Kleene系统中的一种降级算法及其性质
引用本文:阎满富,吴洪溥.修正的Kleene系统中的一种降级算法及其性质[J].工程数学学报,2004,21(4):537-542.
作者姓名:阎满富  吴洪溥
作者单位:中国农业大学经济管理学院,北京,100083;陕西师范大学数学信息科学学院,西安,710062
基金项目:陕西师范大学重点科研基金
摘    要:通过对模糊命题演算的形式演绎系统L^*及修正的Kleene逻辑系统^-W,W,Wκ的研究,给出了修正的Kleene系统中广义矛盾式之间的一种降级算法并讨论了它的性质和应用,最后在广义矛盾式理论中讨论了,广义语义HS规则和广义语义MP规则,为进一步对修证的Kleene逻辑系统的研究提供一个有益的工具。

关 键 词:模糊逻辑  修正的Kleene系统  广义矛盾式  降级算法  广义语义C-MP规则  广义语义C-HS规则
文章编号:1005-3085(2004)04-0537-06
修稿时间:2002年7月3日

The Properties of a Downgrade Algorithm in the Revised Kleene Logic System
YAN Man-fu,WU Hong-bo College of Economy and Management,China Agriculture University,Beijing Institute of Mathematics,Shanxi Normal University,Xi'an.The Properties of a Downgrade Algorithm in the Revised Kleene Logic System[J].Chinese Journal of Engineering Mathematics,2004,21(4):537-542.
Authors:YAN Man-fu  WU Hong-bo College of Economy and Management  China Agriculture University  Beijing Institute of Mathematics  Shanxi Normal University  Xi'an
Affiliation:YAN Man-fu,WU Hong-bo College of Economy and Management,China Agriculture University,Beijing 100083 Institute of Mathematics,Shanxi Normal University,Xi'an 710062
Abstract:By the study of the formal deductive system L~* for fuzzy propositional calculus and the revised Kleene logic system, a downgrade algorithm among generalized contradictions have been given, and its properties have been discussed. In the end, generalized semantic MP rule and generalized se- mantic HS rule in the theory of generalized contradiction have been investigated. This work deliveries some helps for research on the revised Kleene system.
Keywords:fuzzy logic  revised Kleene system  generalized contradiction  diwngrade algorithm  generalized semantic C-MP rule  genralized semantic C-HS rule
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