A probability-like new fuzzy set theory

	A probability-like new fuzzy set theory
	Gao, Xiaoyu ; Gao, Q. S.; Hu, Y.; Li, L.
	2006-05-01
发表期刊	INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE
ISSN	0218-0014
卷号	20 期号:3 页码:441-462
摘要	In this paper, the reasons for the shortcoming of Zadeh's fuzzy set theory - it cannot correctly reflect different kinds of fuzzy phenomenon in the natural world - are discussed. In addition, the proof of the error of Zadeh's fuzzy set theory - it incorrectly defined the set complement that cannot exist in Zadeh's fuzzy set theory - is proposed. This error of Zadeh's fuzzy set theory causes confusion in thinking, logic and conception. It causes the seriously mistaken belief that logics of fuzzy sets necessarily go against classical and normal thinking, logic and conception. Two new fuzzy set theories, C-fuzzy set theory and probability-like fuzzy set theory, the N-fuzzy set theory, are proposed. The two are equivalent, and both overcome the error and shortcoming of Zadeh's fuzzy set theory, and they are consistent with normal, natural and classical thinking, logic and concepts. The similarities of N-fuzzy set theory with probability theory are also examined.
关键词	probability classical set Zadeh's fuzzy set C-fuzzy set N-fuzzy set
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000238266100008
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/10583
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Gao, Xiaoyu
作者单位	1.Univ Sci & Technol Beijing, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, Xiaoyu,Gao, Q. S.,Hu, Y.,et al. A probability-like new fuzzy set theory[J]. INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE,2006,20(3):441-462.
APA	Gao, Xiaoyu,Gao, Q. S.,Hu, Y.,&Li, L..(2006).A probability-like new fuzzy set theory.INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE,20(3),441-462.
MLA	Gao, Xiaoyu,et al."A probability-like new fuzzy set theory".INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE 20.3(2006):441-462.