This paper mainly proposes notions and methods of attribute reduction in concept lattices based on rough set theory. Using dependence space of concept lattices, we first discuss the relationships between congruence relations and the corresponding concept lattices. We then define notions of attribute reduction in a formal context based on congruence relations which is to find the minimal attribute subsets preserving the congruence partition. Finally, we define discernibility matrices and Boolean functions of a formal context to calculate all attribute reducts and analyze attribute characteristics. Using this notion of attribute reduction, methods, results as well as their proof about attribute reduction in a formal context can be derived directly by those in rough set theory. Furthermore, we prove that the attribute reducts proposed in this paper also preserve all extents of formal concepts and their original hierarchy in the concept lattice.
목차
Abstract 1. Introduction 2. Preliminaries 2.1. Basic Notions about Formal Concept Analysis 2.2. Basic Notions about Rough Set Theory 2.3. Dependence Space based on a Formal Context 3. Notions of Attribute Reduction in a Formal Context 3.1. Relationships between Congruence Relations and the Corresponding ConceptLattices 3.2. Notions of Attribute Reduction in a Formal Context 4. Approaches to Attribute Reduction in a Formal Context 5. Conclusion Acknowledgements References
보안공학연구지원센터(IJHIT) [Science & Engineering Research Support Center, Republic of Korea(IJHIT)]
설립연도
2006
분야
공학>컴퓨터학
소개
1. 보안공학에 대한 각종 조사 및 연구
2. 보안공학에 대한 응용기술 연구 및 발표
3. 보안공학에 관한 각종 학술 발표회 및 전시회 개최
4. 보안공학 기술의 상호 협조 및 정보교환
5. 보안공학에 관한 표준화 사업 및 규격의 제정
6. 보안공학에 관한 산학연 협동의 증진
7. 국제적 학술 교류 및 기술 협력
8. 보안공학에 관한 논문지 발간
9. 기타 본 회 목적 달성에 필요한 사업
간행물
간행물명
International Journal of Hybrid Information Technology
간기
격월간
pISSN
1738-9968
수록기간
2008~2016
십진분류
KDC 505DDC 605
이 권호 내 다른 논문 / International Journal of Hybrid Information Technology Vol.5 No.2