南京大学学报(自然科学版) ›› 2015, Vol. 51 ›› Issue (2): 415420.
石慧 魏玲*
Shi Hui , Wei Ling*
摘要: 形式概念分析是用于知识表示和知识发现的一个重要方法.本文将逻辑运算方法引入形式概念分析之中,利用布尔向量的逻辑运算定义了布尔形式背景中的近似运算, 给出了其性质.并定义了布尔面向对象(属性)概念,证明了其与面向对象(属性)概念格的等价性. 简化了构造面向对象(属性)概念格的过程
[1] Wille R. Restructuring lattices theory: An approach on hierarchies of concepts. Rival I. Ordered sets. Reidel, Dordrecht. 1982, 445~470. [2] Ganter B, Wille R. Formal concept analysis. New York: Springer-Verlag, 1999, 1~269. [3] 万 青, 魏 玲, 李 涛. 一种基于并不可约元的建格新方法. 西北大学学报, 2013, 43(1): 10~14. [4] Wei L, Qi J J. Relation between concept lattice reduction and rough set reduction. Knowledge-Based Systems, 2010, 23(8): 934~938. [5] 张文修, 魏 玲, 祁建军. 概念格的属性约简理论与方法. 中国科学E辑, 2005, 35(6): 628~639. [6] Wang X, Zhang W X. Relations of attribute reduction between object and property oriented concept lattices. Knowledge-Based Systems, 2008, 21: 398~403. [7] Wang X. Approaches to attribute reduction in concept lattices based on rough sets theory. International Journal of Hybrid Information Technology, 2012, 5(2):67~80. [8] 谢志鹏, 刘宗田. 概念格的快速渐进式构造算法. 计算机学报, 2002, 25(5): 490~496. [9] Liu M Q, Wei L. The reduction theory of object oriented concept lattices and property oriented concept lattices. Lecture Notes in Computer Science, 2009, 55(89): 587~593. [10] Xu W H, Pang J Z, Luo Sh Q. A novel cognitive system model and approach to transformation of information granules. International Journal of Approximate Reasoning, 2014, 3: 853~866. [11] Gediga G, Duntsch I. Modal-style operators in qualitative data analysis. In: Proceedings of the 2002 IEEE International Conference on Data Mining, 2002: 155~162. [12] Duntsch I, Gediga G. Approximation operators in qualitative data analysis. In: Theory and Application of Relational Structures as Knowledge Instruments. Springer, Heidelberg, 2003: 216~233. [13] Yao Y Y. A comparative study of formal concept analysis and rough set theory in data analysis. Lecture Notes in Artifical Intelligence, 2001, 2035: 167~173. [14] Yao Y Y. Concept lattices in rough set theory. In: Proceedings of 2004 Annual Meeting of the North American Fuzzy Information Processing Society(NAFIPS 04), 2004: 796~801. [15] 张清新. 基于布尔矩阵的决策形式背景协调集判断方法, 漳州师范学院学报(自然科学版), 2012, 75(1): 22~25. [16] 李同军, 王 霞, 徐优红. 形式概念的布尔计算方法. 南京大学学报(自然科学), 2013, 49(5): 553~560. |
No related articles found! |
|