J4

• Articles • Previous Articles     Next Articles

The characteristic of S-rough sets on CS(K)

ZHANG Chun-ying1,XUE Ding-jun2,and LIU Bao-xiang   

  1. 1.College of Sci.,Hebei Polytechnic Univ.;2.School of Math.and System Sci.,Shandong Univ.
  • Received:2005-08-27 Revised:2005-11-13 Online:2006-10-24 Published:2006-10-24
  • Contact: ZHANG Chun-ying

Abstract: According to the equivalence class, the concept nodes of CS(K) (Concept Lattice) are partitioned. The characteristics of rough sets and S-rough sets are analyzed. The definitions of rough sets and S-rough sets on CS(K) are given and the related theorem is presented. The relation between the concept lattice and S-rough sets is found. At last, the characteristics of S-rough sets are illnstrated with an example.

Key words: f-reduction , f-dilation, concept lattice, S-rough sets

CLC Number: 

  • O159
[1] ZHANG En-sheng. Composition and structure on attribute reduction of interval-set concept lattices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 17-24.
[2] LI Jin-hai, WU Wei-zhi. Granular computing approach for formal concept analysis and its research outlooks [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 1-12.
[3] HUANG Tao-lin, NIU Jiao-jiao, LI Jin-hai. Reduct updating method in a dynamic formal context based on granular discernibility attribute matrix [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 13-21.
[4] LIU Lin, WEI Ling, QIAN Ting. Three-way rules extraction in formal decision contexts with confidence [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 101-110.
[5] CHEN Xue, WEI Ling, QIAN Ting. Attribute reduction in formal decision contexts based on AE-concept lattices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 95-103.
[6] QIN Li-zhen, LI Jin-hai, WANG Yang-yang. Concept lattice based knowledge discovery and its application to analysis of employment data in universities [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(12): 58-64.
[7] ZHANG Chun-ying, WANG Li-ya, LIU Bao-xiang. Dynamic reduction theory for interval concept lattice based on covering and its realization [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 15-21.
[8] XU Feng-sheng1, YU Xiu-qing1, ZHANG Huan-li2. S-rough equivalent classes and knowledge dynamic miningdiscovery [J]. J4, 2013, 48(3): 37-41.
[9] LI Zhi-yi, LIU Ji-qin*. Two-direction S-probability rough sets and its application [J]. J4, 2011, 46(12): 114-119.
[10] ZHANG Qing-hua1,2, XING Yu-ke2, WANG Guo-yin2. Transformation between concept knowledge granule and concept information granule [J]. J4, 2010, 45(9): 1-6.
[11] WANG Bin-di, WEI Ling. The reduction theory of concept lattice based on its associated lattice [J]. J4, 2010, 45(9): 20-26.
[12] FANG Wen-qing1,2. F-double rough integrals and its boundary thickness [J]. J4, 2010, 45(9): 53-56.
[13] HUANG Jiang-Yan, XU Xiu-Qing, FANG Wen-Jing. Dynamic characteristics of rough integrals [J]. J4, 2009, 44(11): 93-96.
[14] REN Xue-fang,ZHANG Ling . Element transfer-based dynamic inference and recognition of S-rough set knowledge [J]. J4, 2008, 43(8): 55-61 .
[15] ZHANG Ling ,REN Xue-fang . An F-model generated by function one-direction S-rough sets [J]. J4, 2008, 43(8): 77-81 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!