| 模糊概念格与模糊推理 |
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| 引用本文： | 范世青,张文修. 模糊概念格与模糊推理[J]. 模糊系统与数学, 2006, 20(1): 11-17 |
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| 作者姓名： | 范世青 张文修 |
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| 作者单位： | 西安交通大学,理学院,信息与系统科学研究所,陕西,西安,710049;西安交通大学,理学院,信息与系统科学研究所,陕西,西安,710049 |
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| 基金项目： | 国家重点基础研究发展计划(973)资助项目(2002CB312206) |
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| 摘 要： | 基于伽罗瓦连接,分别在交换伴随对与对合剩余格条件下,讨论了模糊概念格的四种定义形式。并证明了在对合剩余格上,对偶性成立,四种模糊算子将具有与经典意义下一致的相互关系。最后我们提出了一种基于模糊概念格的模糊推理规则,并证明了其还原性。
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| 关 键 词： | 伽罗瓦连接 形式背景 模糊概念格 模糊推理 |
| 文章编号： | 1001-7402（2006）01-0011-07 |
| 收稿时间： | 2005-06-03 |
| 修稿时间： | 2005-06-28 |
Fuzzy Concept Lattice and Fuzzy Reasoning |
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| FAN Shi-qing,ZHANG Wen-xiu. Fuzzy Concept Lattice and Fuzzy Reasoning[J]. Fuzzy Systems and Mathematics, 2006, 20(1): 11-17 |
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| Authors: | FAN Shi-qing ZHANG Wen-xiu |
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| Abstract: | Based on Galois connection,four kinds of fuzzy concept lattices have been introduced.(Studied) is the cases where the truth values come from a complete lattice with a commutative residuated pair and from a complete involutive residuated lattice.The four kinds of fuzzy concept lattices have the same properties as their crisp counterparts,and a perfect duality could be achieved to the case where the structure is a complete involutive residuated lattice.Finally,based on the fuzzy concept lattice,a completely reductive fuzzy inference method has been proposed. |
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| Keywords: | Galois Connection Formal Context Fuzzy Concept Lattice Fuzzy Logic |
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