It is an important foundation for the in-depth application of the propositional logic to compute all reductions, and this is a hot subject at present. This paper defines the identity element concept and the zero element concept in concept lattice. It proves that the minimal transversal of waned values hypergraph of zero element concept is a reduction in inducible context, and it also proves that the minimal transversal set is a full reduction set. Furthermore, the paper presents a new method based on intent waned values and hypergraph minimal transversal of concept lattice. By this method, all reductions can be quickly computed all at once. It develops the reducing algorithm. Compared with the original algorithm, which compute a reduction every time in first and gradually aggregate all reductions, the operating number of the improved algorithm is remarkably reduced. The approach has the remarkable advantages and good results.
목차
Abstract 1. Introduction 2. The Basic Definition and Principles of Propositional Logic 3. The Relationship of Concept Lattice and Propositional Logic 4. Waned Values Hypergraph and the Minimal Transversal 5. The Algorithm of Proposition Reduction 6. Conclusion Acknowledgements References
키워드
Concept latticeWaned Values HypergraphMinimal TransversalProposition Set Reduction
저자
Liang Yan [ School of Applied Technology,University of Science and Technology Liaoning, Anshan Liaoning 114051, China ]
Corresponding author
Wu Jie [ School of Software,University of Science and Technology Liaoning, Anshan Liaoning 114051, China ]
Ma Yuan [ School of Software,University of Science and Technology Liaoning, Anshan Liaoning 114051, China ]
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.9 No.7