| Zadeh模糊集合理论的缺陷及其改进:C*-模糊集合理论 |
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| 引用本文： | 高庆狮.Zadeh模糊集合理论的缺陷及其改进:C*-模糊集合理论[J].北京科技大学学报,2005,27(5):513-519. |
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| 作者姓名： | 高庆狮 |
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| 作者单位： | 北京科技大学智能、语言与计算机科学研究所,北京100083 |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展计划(973计划)
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中国科学院知识创新工程项目 |
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| 摘 要： | 分析和证明了Zadeh模糊集合理论的三个缺点和两个错误,提出了一个考虑模糊集合之间关系,并且用相关系数来刻画这种关系的程度的新模糊集合理论(系统)--C*-模糊集合理论(系统).新理论(系统)能克服Zadeh模糊集合理论的三个缺点和两个错误;能正确地描绘客观世界的全部模糊现象;有补集;隶属度有统一的计算公式;并且是经典集合系统的特例,能满足全部经典集合的公式,与正常思维、逻辑和概念一致.
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| 关 键 词： | 集合 模糊集合 Zadeh模糊集合理论 C*-模糊集合理论 模糊集合理论 缺陷 改进 Defects fuzzy set theory 概念一致 逻辑 思维 计算公式 经典集合 集合系统 统一 隶属度 补集 模糊现象 客观世界 程度 相关系数 错误 分析 |
| 收稿时间： | 2005-07-12 |
| 修稿时间： | 2005-09-21 |
Defects and overcoming of Zadeh's fuzzy set theory: C*-fuzzy set theory |
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| GAO Qingshi.Defects and overcoming of Zadeh''''s fuzzy set theory: C*-fuzzy set theory[J].Journal of University of Science and Technology Beijing,2005,27(5):513-519. |
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| Authors: | GAO Qingshi |
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| Institution: | Institute of Intelligence, Linguistics and Computer Science, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | Three shortcomings and two errors of Zadeh's fuzzy set theory were analyzed and proved, and a new fuzzy set theory, C*-fuzzy set theory, was proposed. The new C*-fuzzy set considers the relationship between fuzzy sets and represents the relationship with relativity. It overcomes all the errors and shortcomings of Zadeh's fuzzy set theory: it correctly reflects different kinds of fuzzy phenomena in the natural world; set complement exists on it; it has uniform calculating formulas for membership; it satisfies all formulas of the classical set theory and is consistent with classical and normal thinking, logic and concepts. |
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| Keywords: | classical set fuzzy set Zadeh's fuzzy set theory C*-fuzzy set theory |
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