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Attribute Reduction on Decision Tables Based on hausdorff topology

Computers, Materials & Continua 2024年第11期81卷 3097-3124页

作者： Nguyen Long Giang Tran Thanh Dai Le Hoang Son Tran Thi Ngan Nguyen Nhu Son Cu Nguyen Giap Institute of Information Technology Vietnam Academy of Science and TechnologyHanoi10000Vietnam Faculty of Information Technology University of Economics-Technology for IndustriesHanoi10000Vietnam VNU Information Technology Institute Vietnam National UniversityHanoi10000Vietnam International School Vietnam National UniversityHanoi10000Vietnam Center of Science and Technology Research and Development Thuongmai UniversityHanoi10000Vietnam

Attribute reduction through the combined approach of Rough Sets(RS)and algebraic topology is an open research topic with significant potential for *** research works have introduced a strong relationship between RS and topology spaces for the attribute reduction ***,the mentioned recent methods followed a strategy to construct a new measure for attribute ***,the strategy for searching for the reduct is still to select each attribute and gradually add it to the ***,those methods tended to be inefficient for high-dimensional *** overcome these challenges,we use the separability property of hausdorff topology to quickly identify distinguishable attributes,this approach significantly reduces the time for the attribute filtering stage of the *** addition,we propose the concept of hausdorff topological homomorphism to construct candidate reducts,this method significantly reduces the number of candidate reducts for the wrapper stage of the *** are the two main stages that have the most effect on reducing computing time for the attribute reduction of the proposed algorithm,which we call the Cluster Filter Wrapper algorithm based on hausdorff *** validation on the UCI Machine Learning Repository Data shows that the proposed method achieves efficiency in both the execution time and the size of the reduct.

关键词： hausdorff topology rough sets topology from rough sets attribute reduction

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The C-topology on lattice-ordered groups

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Science China Mathematics 2009年第11期52卷 2397-2403页

作者： YANG YiChuan Department of Mathematics,Key Laboratory of Ministry of Education for Information Mathematics and Behavior,Beihang University,Beijing,100191 China Department of Mathematics Key Laboratory of Ministry of Education for Information Mathematics and Behavior Beihang University Beijing China

Let A be a lattice-ordered group. Gusi? showed that A can be equipped with a C-topology which makes A into a topological group. We give a generalization of Gusi?’s theorem, and reveal the very nature of a “C-group” of Gusi? in this paper. Moreover, we show that the C-topological groups are topological lattice-ordered groups, and prove that every archimedean lattice-ordered vector space is a T 2 topological lattice-ordered vector space under the C-topology. An easy example shows that a C-group need not be T 2. A further example demonstrates that a T 2 topological archimedean lattice-ordered group need not be C-archimedean, either.

关键词： C-topology lattice-ordered group archimedean lattice-ordered group hausdorff topology vector space 06F30 22A99

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