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arXiv 0904.0589cs.LO
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模糊语言逻辑程序设计及其应用

Fuzzy Linguistic Logic Programming and its Applications

Van Hung Le, Fei Liu, Dinh Khang Tran

摘要:

本文介绍了模糊语言逻辑规划,它是由P. Vojtas提出的模糊逻辑规划与模糊对冲代数的结合,以便于对人类知识用自然语言表示和推理。在模糊语言逻辑编程中,真值是语言值,例如,VeryTrue、VeryProbablyTrue和LittleFalse,取自语言真值变量的模糊限制语代数,语言模糊限制语(修饰语)可以用作公式中的一元连接词。这是因为人类的推理主要是根据语言术语而不是数字进行的,而语言模糊限制语通常用于自然语言中以表达不同程度的强调。该文件提出:(1)模糊语言逻辑程序设计语言;(2)根据Herbrand解释和模型的声明语义;(3)直接操纵语言项计算查询真值下界并证明其可靠性的过程语义;(4)逻辑程序的不动点语义,并在此基础上证明过程语义的完备性;(v)模糊语言逻辑程序设计的几种应用;以及(vi)实现一个执行模糊语言逻辑程序的系统的想法。

英文摘要:

The paper introduces fuzzy linguistic logic programming, which is a combination of fuzzy logic programming, introduced by P. Vojtas, and hedge algebras in order to facilitate the representation and reasoning on human knowledge expressed in natural languages. In fuzzy linguistic logic programming, truth values are linguistic ones, e.g., VeryTrue, VeryProbablyTrue, and LittleFalse, taken from a hedge algebra of a linguistic truth variable, and linguistic hedges (modifiers) can be used as unary connectives in formulae. This is motivated by the fact that humans reason mostly in terms of linguistic terms rather than in terms of numbers, and linguistic hedges are often used in natural languages to express different levels of emphasis. The paper presents: (i) the language of fuzzy linguistic logic programming; (ii) a declarative semantics in terms of Herbrand interpretations and models; (iii) a procedural semantics which directly manipulates linguistic terms to compute a lower bound to the truth value of a query, and proves its soundness; (iv) a fixpoint semantics of logic programs, and based on it, proves the completeness of the procedural semantics; (v) several applications of fuzzy linguistic logic programming; and (vi) an idea of implementing a system to execute fuzzy linguistic logic programs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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