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形式系统UL的弱完备性 被引量:1

The Weak Completeness of Basic Formal Deductive System UL of Universal Logic
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摘要 1引言 自Zadeh[1]于1965年建立模糊集理论以后,一种初始形态的模糊逻辑也被提出[2].尽管模糊推理在模糊控制中有直接的应用,也受到模糊系统与人工智能学界的广泛关注. Based on the basic formal deductive system UL of Universal Logic, UL-algebra and D-ideal are proposed in this paper. After the discussion on their basic properties and the relation with BCK-algebra, the weak completeness theory of UL is proved through the present results on prime filter of BCK-algebra.
出处 《计算机科学》 CSCD 北大核心 2003年第12期103-107,共5页 Computer Science
基金 国家自然科学基金(批准号:60273087)
关键词 人工智能 模糊集理论 模糊逻辑 推理模式 形式系统 UL 弱完备性 Universal logic Formal system UL UL-algebra BCK-algebra Weak completeness
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同被引文献7

  • 1张小红,何华灿,李伟华.泛逻辑的基本形式演绎系统UL及其可靠性[J].计算机科学,2003,30(11):21-24. 被引量:3
  • 2Hajek P. Metamathematics of Fuzzy Logic. Kluwer Academic Publishers, 1998.
  • 3Esteva F, Godo L. Monoidal t-normbased logic: towards a logic for left-continous t- norms. Fuzzy Sets and Systems, 2001,124:271-288.
  • 4Schweizar B, Sklar A. Associative functions and abstract semigroups. Pub. Math. Debrecen, 1963, 10:69-81.
  • 5Schweizar B, Sklar A. Associative functions and statistical triangle inequalities. Pub. Math. Debrecen, 1961, 8:169-186.
  • 6Whalen T. Parameterized R-implications. Fuzzy Sets and Systems, 2003, 134:231-281.
  • 7Klement E P, Mesiar R, Pap E. Triangular Norms. Volume 8 of Trends in Logic. Dordrecht: Kluwer Academic Publishers, 2000.

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