## RULES EXTRACTION OF FORMAL DECISION CONTEXTS BASED ON FOUR-WAY CONCEPT LATTICES

Published: 2020-08-08

Page: 8-16

SHUJING LI

Department of Mathematics and Statistics, Qinghai Nationalities University Xining 810007 P. R. China.

LI FU

Department of Mathematics and Statistics, Qinghai Nationalities University Xining 810007 P. R. China.

*Author to whom correspondence should be addressed.

### Abstract

This paper mainly discusses the rule extraction of formal decision contexts based on four-way concept lattice. Firstly, we dene the four-way concept lattice over the formal decision context, and illustrate it using the example. Secondly, we discuss the rules extraction under the given formal decision context, and give out decision rules and denition of redundant rule. Lastly, we study the relationship between classical concept lattice, three-way concept lattice and four-way concept
lattice.

Keywords: Formal decision context, four-way concept lattice, rules acquisition, consistent set.

#### How to Cite

LI, S., & FU, L. (2020). RULES EXTRACTION OF FORMAL DECISION CONTEXTS BASED ON FOUR-WAY CONCEPT LATTICES. Journal of Basic and Applied Research International, 26(6), 8–16. Retrieved from https://ikprress.org/index.php/JOBARI/article/view/5254

### References

Ganter B, Wille R. Formal concept analysis[M]. Mathematical foundations.

New York:Springer-verlag; 1999.

Yao YY. An outline of a theory of three-way decisions / / proc of the 8th international conference on rough sets and current trends in computing. Berlin, Germany: Springer.

:1-17.

Qi JJ, Wei L, Yao YY. Three-way formal concept analysis / / proc of the 9th international conference on rough sets and knowledge technology. Berlin, Germany: Springer. 2014:732-741.

Qi JJ, Qian T, Wei L. the connections between three-way and classical concept lattices. Knowledge-Based Systems.

;91:143-151.

Ruisi Ren, Ling Wei. The attribute reductions of three-way concept lattices[J].

Knowledge-Based Systems; 2016;99:92-102.

Ling Wei, Lin Liu, Jianjun Qi, Ting Qian. Rules acquisition of formal decision contexts based on three-way

concept lattices[J]. Information Sciences.

;516:529-544.

Lin Liu, Ting Qian, Ling Wei. Rules acquisition of formal decision contexts based on attribute-induced three-way

concept lattices[J]. Journal of Northwestern University (Natural Science Edition).

;46(4):481-487.

YibinWang, Sichun Yang. Rules acquisition of formal decision contexts based on three-way concept lattices consolidation[J].

Journal of University of Electronic Science and Technology of China. 2018;47(6):913- Hongjiao Zu, Bin Xie, Jusheng Mi. Concept construction and attribute reduction in incomplete decision formal contexts.

Computer Science. 2017;44(9):83-87.

YibinWang, Sichun Yang. Rules acquisition of formal decision contexts based on three-way concept lattices consolidation[J].

Journal of University of Electronic Science and Technology of China. 2018;47(6):913-