Browse > Article
http://dx.doi.org/10.5391/JKIIS.2007.17.7.881

The Optimal Reduction of Fuzzy Rules using a Rough Set  

Roh, Eun-Young (대구가톨릭대학교 컴퓨터정보통신공학부)
Chung, Hwan-Mook (대구가톨릭대학교 컴퓨터정보통신공학부)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.17, no.7, 2007 , pp. 881-886 More about this Journal
Abstract
Fuzzy inference has the advantage which can process the ambiguous knowledge. However the associated attributes of fuzzy rules are difficult to determine useful and important rules because the redundant attribute of rules is more than enough. In this paper, we propose a method to minimize the number of rules and preserve the accuracy of inference results by using fuzzy relative cardinality after removing unnecessary attributes from rough set. From the experimental results, we can see the fact that the proposed method provides better results (e.g the number of rules) than those of general rough set with the redundant attributes.
Keywords
relative cardinality; Rough sets; redundanat attribute; attribution reduction;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 H. Ishibuchi, T. Murata, and I.B. Turksen, Single-Objective and Two-Objective Genetic Algorithms for Selecting Linguistic Rules for Pattern Classification Problems, Fuzzy Sets and Systems, vol. 89, no. 2, pp. 135-150, 1997   DOI   ScienceOn
2 K. Nozaki, H. Ishibuchi and Tanaka, A simple but powerful heuristic method for generating fuzzy rules from numerical data, Fuzzy Sets and Systems, vol. 86, no. 3, pp. 251-270, 1997   DOI   ScienceOn
3 J. Li and Nick Cercone, A rough set based model to rank the importance of association rules, The Tenth International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, 109-118, August 31-September 3rd, 2005
4 손창식, '구간값 퍼지집합과 규칙감축에 기반한 패턴분류', 대구가톨릭대학교 박사학위논문, 2006
5 정환묵, 피수영, 최경옥, '러프-신경망과 $X^2$ 검정에 의한 효율적인 의사결정지원 시스템', 한국퍼지및지능시스템학회 논문지, 제6권 8호, pp. 2106-2212, 1999
6 H. Ishibuchi, K. Nozaki, N. Yamamoto, and H. Tanaka, Construction of Fuzzy Classification Systems with Rectangular Fuzzy Rules Using Genetic Algorithm, Fuzzy Sets and Systems, vol. 65, no. 2-3, pp. 237-253, 1994   DOI   ScienceOn
7 정구범, 정환묵, '러프집합을 이용한 정보시스템에서의 불완전 데이터 처리에 관한 연구', 한국퍼지및지능시스템학회 논문지, 제9권 3호, pp. 1225-1127, 1999
8 C. Chantrapornchai, S. Tong sima, and E.H.M. Sha, Minimization of Fuzzy Systems Based on Fuzzy Inference Graphs, Technical Report No. TR-96-06, 1996
9 정환묵, 지능정보시스템원로, 31 세기사, 1999
10 황정식, 손창식, 정환묵, '러프집합과 퍼지 네이브 베이스 이론을 이용한 효율적인 추론 방법', 한국퍼지및지능시스템학회 학술발표 논문집, vol. 15, no. 2, pp. 117-120, 2005   과학기술학회마을
11 Z. Pawlak, Rough sets: Theoretical Aspects of Reasoning About Data, A Kluwer Academy Publisher, 1991