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Geometric Lattice Structure of Covering and Its Application to Attribute Reduction through Matroids
المؤلفون المشاركون
المصدر
Journal of Applied Mathematics
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-8، 8ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-02-11
دولة النشر
مصر
عدد الصفحات
8
التخصصات الرئيسية
الملخص EN
The reduction of covering decision systems is an important problem in data mining, and covering-based rough sets serve as an efficient technique to process the problem.
Geometric lattices have been widely used in many fields, especially greedy algorithm design which plays an important role in the reduction problems.
Therefore, it is meaningful to combine coverings with geometric lattices to solve the optimization problems.
In this paper, we obtain geometric lattices from coverings through matroids and then apply them to the issue of attribute reduction.
First, a geometric lattice structure of a covering is constructed through transversal matroids.
Then its atoms are studied and used to describe the lattice.
Second, considering that all the closed sets of a finite matroid form a geometric lattice, we propose a dependence space through matroids and study the attribute reduction issues of the space, which realizes the application of geometric lattices to attribute reduction.
Furthermore, a special type of information system is taken as an example to illustrate the application.
In a word, this work points out an interesting view, namely, geometric lattice, to study the attribute reduction issues of information systems.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Huang, Aiping& Zhu, William. 2014. Geometric Lattice Structure of Covering and Its Application to Attribute Reduction through Matroids. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452615
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Huang, Aiping& Zhu, William. Geometric Lattice Structure of Covering and Its Application to Attribute Reduction through Matroids. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-452615
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Huang, Aiping& Zhu, William. Geometric Lattice Structure of Covering and Its Application to Attribute Reduction through Matroids. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-452615
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-452615
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
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