| 基于差别矩阵的区间值形式背景属性约简 |
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| 引用本文： | 杨建峰,魏玲. 基于差别矩阵的区间值形式背景属性约简[J]. 西北大学学报(自然科学版), 2012, 0(3): 365-369 |
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| 作者姓名： | 杨建峰 魏玲 |
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| 作者单位： | 西北大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(11071281) |
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| 摘 要： | 目的在形式概念分析理论框架下,研究区间值形式背景的属性约简。方法给出区间值属性集差别矩阵和区间值形式背景属性约简的定义,并研究相关性质;研究协调区间值属性集的判定定理。结果给出协调区间值属性集的判定定理,以及基于区间值属性集差别矩阵的区间值形式背景约简方法。结论区间值形式背景可进行属性约简。
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| 关 键 词： | 区间值形式背景 区间值概念格 约简 区间值属性集差别矩阵 |
The attribute reduction of interval-valued formal contexts based on discernibility matrix |
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| YANG Jian-feng,WEI Ling. The attribute reduction of interval-valued formal contexts based on discernibility matrix[J]. Journal of Northwest University(Natural Science Edition), 2012, 0(3): 365-369 |
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| Authors: | YANG Jian-feng WEI Ling |
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| Affiliation: | (Department of Mathematics,Northwest University,Xi′an 710127,China) |
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| Abstract: | Aim To study the attribute reduction of an interval-valued formal context within the formal concept analysis.Methods The discernibility matrix of an interval-valued attribute set and reduction of an interval-valued formal context are defined,and then,the judgment theorem of the consistent sets is studied.Results The judgment theorem of the consistent sets is obtained,and the approach to attribute reduction of interval-valued concept lattice is given based on the discernibility matrix.Conclusion Interval-valued formal contexts can be reduced to obtain simpler attribute reducts. |
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| Keywords: | interval-valued formal context interval-valued concept lattice reduct discernibility matrix of interval-valued attribute set |
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