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一阶形式系统K~*及其完备性
FIRST-ORDER FORMAL SYSTEM K~* AND ITS COMPLETENESS
【摘要】 模糊命题演算的形式系统L*已经在模糊逻辑与模糊推理的结合研究中得到了成功的应用.本文考虑与系统L*相应的一阶逻辑理论,建立了一阶形式系统K*,并证明了这个系统的完备性.
【Abstract】 The formal deductive system L* of fuzzy propositional logic has been successfully applied to the joint research of fuzzy logic and fuzzy reasoning. In this paper, besed on the system L*, corresponding first-order logic system K* is built up, and its completeness also is proved.
【关键词】 模糊逻辑;
一阶谓词演算;
形式系统K~*;
R0代数;
完备性;
【Key words】 Fuzzy logic; First-order predicate calculus; Formal system K*; R0 algebra; Completeness;
【Key words】 Fuzzy logic; First-order predicate calculus; Formal system K*; R0 algebra; Completeness;
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2002年06期
- 【分类号】O159
- 【被引频次】22
- 【下载频次】133