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논문검색

A New Approach to Proposition Set Reduction Based on the Minimal Transversal of Waned Values Hypergraph

초록

영어

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

저자정보

  • Liang Yan School of Applied Technology,University of Science and Technology Liaoning, Anshan Liaoning 114051, China
  • 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

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