模糊知识处理与模糊集理论的若干拓展  

On the Fussy Knowledge Processing and Extensions of Fuzzy Sets theory

作　　者：雷英杰[1] 孙金萍[1] 王宝树[2] 

机构地区：[1]空军工程大学导弹学院,陕西三原713800 [2]西安电子科技大学计算机学院,陕西西安710071

出　　处：《空军工程大学学报（自然科学版）》2004年第3期40-44,共5页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：军队科研基金资助项目 ;国家教育部高等学校骨干教师资助计划项目 (GG - 810 - 90 0 39- 10 0 3)

摘　　要：模糊系统是一种基于知识或基于规则的系统 ,模糊知识处理技术的发展引起模糊集理论出现了各种拓展。首先叙述了模糊集理论的形成与发展 ,以及模糊集理论在人工智能、知识处理领域的作用与应用。其次 ,给出了对模糊集合的各种拓展 ,如直觉模糊集、L -模糊集与L -直觉模糊集、区间值模糊集与区间值直觉模糊集、Vague集等的定义与描述。最后 ,重点讨论了各种模糊集拓展形式之间的相互联系及可能对模糊集理论发展产生重要影响的统一集理论 ,提出了通过某种变换或算子建立起各种集合理论拓展形式之间联系的假设。结论认为 。A fuzzy system is a kind of system based on knowledge or rule. The development of fuzzy techniques in knowledge processing results in the emergence of extensions of fuzzy sets theory. In this paper, the generation and evolution of fuzzy sets theory, their applications in and effects on the area of AI and knowledge processing are first described. Then, the definitions and descriptions of extensions of fuzzy sets, such as intuitional fuzzy sets, L-fuzzy sets and L-IFS, interval - valued fuzzy sets and IVIFS, vague sets, etc., are exposed. Finally, a discussion is made with emphasis on the relations among the extensions of fuzzy sets theory and all - sets theory, which could probably result in a significant impact on the evolution of the theory, and a hypothesis is proposed on building the links among extensions of fuzzy sets by means of a kind of mapping or operators. The conclusion is that the IFS is one of the most important extensions of fuzzy sets theory.

关 键 词：模糊集合 人工智能 模糊知识处理 直觉模糊集合 L-模糊集 区间值模糊集 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]