广东工业大学学报 ›› 2006, Vol. 23 ›› Issue (1): 122-126.

• 综合研究 • 上一篇    下一篇

再扩充模糊逻辑中归结方法的有效性

  

  1. 广东工业大学应用数学学院 广东广州510090;
  • 出版日期:2006-02-02 发布日期:2006-02-02
  • 基金资助:

    广东工业大学青年基金项目

Validity of the Further Extension of Fuzzy Reasoning Based on Resolution

  1. (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2006-02-02 Published:2006-02-02

摘要: 研究再扩充模糊逻辑的一些主要性质,得到了关于公式的有效逻辑结果的充分必要条件,讨论了基于归结方法的模糊推理的有效性;证明了子句集在再扩充模糊逻辑中的不可满足性与它在二值逻辑中的不可满足性是等价的. 

关键词: 模糊逻辑; 近似推理; 归结方法; 有效逻辑结果;

Abstract: In this paper,some main properties of the further extension of fuzzy logic are generalized.Especially,the necessary and sufficient condition of validly logical consequence is obtained.Then the validity of further extension of fuzzy reasoning based on resolution is discussed.Lastly the equivalence of unsatisfiability in both two-valued logic and further extension of fuzzy logic is proved.

Key words: fuzzy logic; approximate reasoning; resolution; validly logical consequence;

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