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| 1.Bin Yang, William Zhu. Covering-based rough sets on covering-circuit matroids. in FSKD 2014, 48-53. |
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Accession number: 20150200418393 Title: Covering-based rough sets on covering-circuit matroids Authors: Yang, Bin1 Email author yangbin-0906tdcq@126.com; Zhu, William1 Email author williamfengzhu@gmail.com Author affiliation: 1 Lab of Granular Computing, Minnan Normal University, Zhangzhou, China Corresponding author: Yang, Bin Source title: 2014 11th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2014 Abbreviated source title: Int. Conf. Fuzzy Syst. Knowl. Discov., FSKD Issue date: December 9, 2014 Publication year: 2014 Pages: 49-54 Article number: 6980805 Language: English ISBN-13: 9781479951482 Document type: Conference article (CA) Conference name: 2014 11th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2014 Conference date: August 19, 2014 - August 21, 2014 Conference location: Xiamen, China Conference code: 109675 Publisher: Institute of Electrical and Electronics Engineers Inc. Abstract: Rough set theory has been proposed by Pawlak as a useful and powerful tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems. Matroid theory is a branch of combinatorial mathematics and widely used in optimization. Therefore, it is a good idea to integrate rough sets with matroids. In this paper, four types of covering approximation operators and their relationships are studied from the viewpoint of matroids. First, we define a new type of matroids named covering-circuit matroids whose all circuits form a covering. Second, for a covering-circuit matroid, we study the properties of the circuits of it from the perspective of coverings. Third, four types of covering approximation operators are represented by the circuits of the covering-circuit matroids. Moreover, we also investigate the relationships among four covering upper approximation operators. Finally, the conditions under which every type of covering upper approximation operator is the closure operator of the matroid are revealed. These results show many potential connections between covering-based rough sets and matroids. © 2014 IEEE. Number of references: 21 Main heading: Rough set theory Controlled terms: Approximation algorithms - Combinatorial mathematics - Electric network analysis - Formal logic - Matrix algebra - Networks (circuits) - Set theory Uncontrolled terms: Approximation operators - Circuit matroid - Closure operators - covering - matroid - Matroid theory - Upper approximation Classification code: 703.1 Electric Networks - 703.1.1 Electric Network Analysis - 721.1 Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory - 921 Mathematics DOI: 10.1109/FSKD.2014.6980805 Database: Compendex Compilation and indexing terms, © 2015 Elsevier Inc. |
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