基于粗糙近似的区间值模糊形式背景属性约简

李同军; 孟琦峰; 吴伟志

doi:10.16152/j.cnki.xdxbzr.2025-02-010

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基于粗糙近似的区间值模糊形式背景属性约简

不确定性与知识获取 | 更新时间：2025-04-21

- 基于粗糙近似的区间值模糊形式背景属性约简
- Attribute reduction of interval-valued fuzzy formal contexts based on rough approximations
- 西北大学学报（自然科学版） 2025年55卷第2期页码：333-342
- 作者机构：
  
  浙江海洋大学　信息工程学院，浙江　舟山　 316022
- 作者简介：
  
  李同军，男，博士，教授，从事粒计算、概念格、粗糙集研究，litj@zjou.edu.cn。
- 基金信息：
  
  国家自然科学基金(12371466)
- DOI：10.16152/j.cnki.xdxbzr.2025-02-010
  中图分类号： TP18
- 收稿日期：2024-09-28，
  
  纸质出版日期：2025-04-25
- 稿件说明：
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李同军, 孟琦峰, 吴伟志. 基于粗糙近似的区间值模糊形式背景属性约简[J]. 西北大学学报（自然科学版）, 2025,55(2):333-342.

LI Tongjun, MENG Qifeng, WU Weizhi. Attribute reduction of interval-valued fuzzy formal contexts based on rough approximations[J]. Journal of northwest university (natural science edition), 2025, 55(2): 333-342.
李同军, 孟琦峰, 吴伟志. 基于粗糙近似的区间值模糊形式背景属性约简[J]. 西北大学学报（自然科学版）, 2025,55(2):333-342. DOI： 10.16152/j.cnki.xdxbzr.2025-02-010.

LI Tongjun, MENG Qifeng, WU Weizhi. Attribute reduction of interval-valued fuzzy formal contexts based on rough approximations[J]. Journal of northwest university (natural science edition), 2025, 55(2): 333-342. DOI： 10.16152/j.cnki.xdxbzr.2025-02-010.

摘要

将粗造集技术融入形式概念分析是数据分析和信息处理的一种重要方法，其对数据知识发现具有重要意义。在区间值模糊形式背景中定义两种粗糙近似算子，从而导出一种新型单边概念格，即经典-区间值模糊概念格，主要研究新型概念格的属性约简。给出区间值模糊形式背景属性约简和差别矩阵的定义，研究协调属性集判定和约简计算方法。给出协调属性集判定定理和基于差别矩阵的约简计算方法。新概念模型可为区间值模糊形式背景中的知识发现提供新方法，给出的约简方法有利于开发高效的属性约简算法。

Abstract

The integration of rough sets into formal concept analysis is an important method for data analysis and information processing

which is of great significance for data knowledge discovery. Two rough approximation operators are defined in an interval-valued fuzzy formal context

and a new type of one-side concept lattice

namely

crisp-interval-valued fuzzy concept lattice

is derived

and its attribute reduction is meanly studied. According to the definition of attribute reduction of interval-valued fuzzy formal context

the judgement of consistent attribute sets is considered

and by using the techniques of discernibility matrix of rough sets

the calculation method of reducts is explored. The new concept model can provide new approaches for the knowledge discovery of interval-valued fuzzy formal contexts

and the obtained reduction method is beneficial to develop efficient attribute reduction algorithms.

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Keywords

references

GANTER B , WILLE R . Formal concept analysis [M ] . Berlin, Heidelberg : Springer Berlin Heidelberg , 1999 .

BURUSCO A , FUENTES-GONZALEZ R . The study of the L -fuzzy concept lattice [J ] . Mathware & Soft Computing , 1994 , 1 ( 3 ): 209 - 218 .

DJOUADI Y , PRADE H . Interval-valued fuzzy formal concept analysis [C ] // Foundations of Intelligent Systems . Berlin, Heidelberg : Springer Berlin Heidelberg , 2009 : 592 - 601 .

LI L F . Multi-level interval-valued fuzzy concept lattices and their attribute reduction [J ] . International Journal of Machine Learning and Cybernetics , 2017 , 8 ( 1 ): 45 - 56 .

张文修 , 魏玲 , 祁建军 . 概念格的属性约简理论与方法 [J ] . 中国科学E辑：信息科学 , 2005 , 35 ( 6 ): 628 - 639 .

ZHANG W X , WEI L , QI J J . Theory and method of attribute reduction for concept lattices [J ] . Science in China Series E: Information Science , 2005 , 35 ( 6 ): 628 - 639 .

吴克生 . 区间形式背景分析 [D ] . 西安 : 西北大学 , 2011 .

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 , 42 ( 3 ): 365 - 369 .

YANG J F , WEI L . Interval valued formal context attribute reduction based on difference matrix [J ] . Journal of Northwest University (Natural Science Edition) , 2012 , 42 ( 3 ): 365 - 369 .

黄艳 , 任苗苗 , 魏玲 . 区间值决策形式背景的属性值向量约简 [J ] . 计算机科学 , 2012 , 39 ( 1 ): 193 - 197 .

HUANG Y , REN M M , WEI L . Attribute value vector reduction for formal contexts of interval-valued decision [J ] . Computer Science , 2012 , 39 ( 1 ): 193 - 197 .

王虹 , 崔聘芝 . 协调区间值决策形式背景的知识约简 [J ] . 数学的实践与认识 , 2014 , 44 ( 9 ): 265 - 273 .

WANG H , CUI P Z . Knowledge reduction in formal background of coordinated interval valued decision making [J ] . Mathematics in Practice and Understanding , 2014 , 44 ( 9 ): 265 - 273 .

KRAJIC S . Cluster based efficient generation of fuzzy concepts [J ] . Neural Network World , 2003 , 13 ( 5 ): 521 - 530 .

YAHIA S B , JAOUA A . Discovering knowledge from fuzzy concept lattice [C ] // Data Mining and Computational Intelligence . Heidelberg : Physica-Verlag , 2001 : 167 - 190 .

DUNTSCH N , GEDIGA G . Modal-style operators in qualitative data analysis [C ] // Proceedings of the 2002 IEEE International Conference on Data Mining . Maebashi, Japan : IEEE Computer Society , 2002 : 155 - 162 .

YAO Y Y . Concept lattices in rough set theory [C ] // Proceedings of 2004 Annual Meeting of the North American Fuzzy Information . Banff, AB, Canada : IEEE Computer Society , 2004 : 796 - 801 .

LI T J , WANG Y Q . Crisp-fuzzy concept lattice based on interval-valued fuzzy sets [C ] // International Joint Conference on Rough Sets . Cham : Springer Nature Switzerland , 2023 : 449 - 462 .

吴伟志 . 粗糙近似算子的公理化刻画：综述 [J ] . 模式识别与人工智能 , 2017 , 30 ( 2 ): 137 - 151 .

WU W Z . Rough approximation operator of axiomatic characterization: Review [J ] . Journal of Pattern Recognition and Artificial Intelligence , 2017 , 30 ( 2 ): 137 - 151 .

AKRAM M , DUDEK W A . Interval-valued fuzzy graphs [J ] . Computers & Mathematics with Applications , 2011 , 61 ( 2 ): 289 - 299 .

BURUSCO A , FUENTES-GONZALEZ R . The study of the interval-valued contexts [J ] . Fuzzy Sets and Systems , 2001 , 121 ( 3 ): 439 - 452 .

吴明瑞 . 基于粗糙近似的经典：模糊概念格的属性约简研究 [D ] . 舟山 : 浙江海洋大学 , 2023 .

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