摘要
分析了一般术语公理下推理的主要难点:在模糊解释中的隶属度不是离散值,而是区间[0,1]上的连续值.为解决该难点,提出了模糊描述逻辑FALCN下的模糊解释离散化方法,从而使解释中的隶属度都属于一个特殊的有限离散集合.基于该离散化方法,给出一般术语公理下FALCN推理问题的离散Tableau推理技术,包括离散Tableau的定义以及离散Tableau的构造算法,并证明了算法的正确性、完备性和复杂度.
This paper analyzes that the main difficulty in reasoning with general terminological axioms is that the membership degrees of fuzzy interpretations are not discrete, but continous in [0,1]. To remove this obstacle difficulty, this paper proposes a discretization method of fuzzy interpretation to translate membership degrees into discrete values in a finite set. Based on this discretization, it gives a discrete Tableau reasoning technique for FALCN reasoning problems with general terminological axioms, which consists of the definition of discrete Tableaus, a construction algorithm for discrete Tableaus and the proof of soundness, completeness and complexity of this algorithm.
出处
《软件学报》
EI
CSCD
北大核心
2008年第3期594-604,共11页
Journal of Software
基金
Supported by the National Natural Science Foundation of China under Grant Nos.60373066, 60425206, 90412003 (国家自然科学基金)
the National Basic Research Program of China under Grant No.2002CB312000 (国家重点基础研究发展计划(973))
the Jiangsu High-Tech Research Project of China under Grant No.20020286004 (高等学校博士学科点专项科研基金)
关键词
模糊
描述逻辑
语义WEB
一般术语公理
知识表示
fuzzy
description logic
semantic Web
general terminological axiom
knowledge representation
