A probability-like new fuzzy set theory
文献类型：期刊论文
| 作者 | Gao, Xiaoyu; Gao, Q. S.; Hu, Y.; Li, L. |
| 刊名 | INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE
 |
| 出版日期 | 2006-05-01 |
| 卷号 | 20期号:3页码:441-462 |
| 关键词 | probability classical set Zadeh's fuzzy set C-fuzzy set N-fuzzy set |
| ISSN号 | 0218-0014 |
| 英文摘要 | 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. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000238266100008 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/10582]  |
| 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. |
入库方式： OAI收割
来源：计算技术研究所
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