General Form of a-Ordered Linear Resolution Method for Lattice-Valued Logic System with Linguistic Truth-Values

被引:0
|
作者
Xu, Weitao [1 ]
Xu, Yang [2 ]
机构
[1] Henan Univ Technol, Coll Informat Sci & Engn, Zhengzhou 450001, Peoples R China
[2] Southwest Jiaotong Univ, Dept Maths, Chengdu 610031, Peoples R China
基金
中国国家自然科学基金;
关键词
automated reasoning; linguistic truth-valued lattice-valued logic system; ordered linear resolution; generalized literal; generalized clause;
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 the present paper, general form of alpha-ordered linear resolution method IS established m lattice-valued logic system with linguistic truth-values. Firstly, general form of alpha-ordered linear resolution method is investigated in linguistics truth-valued lattice-valued propositional logic system based on linguistics truth-valued lattice implication algebra. It can obtain a resolvent under a linguistic truth-valued level for a set of generalized clauses. Both soundness and weak completeness theorems are established. Then, general form of alpha-ordered linear resolution method IS established in linguistics truth-valued lattice-valued first-order logic system. The soundness theorem is also given. Finally, By using lift lemma, the weak completeness theorem is also obtained. This method provides a new resolution approach for automated reasoning based on lattice-valued logic system.
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页数:7
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