DocumentCode
2925216
Title
The vectorially matroidal structure of generalized rough sets based on relations
Author
Wang, Shiping ; Zhu, William ; Min, Fan
Author_Institution
Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
fYear
2011
fDate
8-10 Nov. 2011
Firstpage
708
Lastpage
711
Abstract
This paper establishes the vectorially matroidal structure of generalized rough sets based on relations. Any relation induces the vectorial matroid through the representing matrix of the relation. And the neighborhood in generalized rough sets based on relations is connected with the circuit of the vectorial matroid. On the other hand, an approach to induce the relation by a matroid is provided. And the relationship between two inductions is studied. Results show that these two inductions are converse if and only if the relation is an equivalence one.
Keywords
combinatorial mathematics; matrix algebra; rough set theory; circuit connection; generalized rough set; matrix representation; vectorially matroidal structure; Approximation methods; Educational institutions; Fuzzy sets; Probabilistic logic; Rough sets; Vectors; Rough set; circuit; neighborhood; relation; representing matrix; vectorial matroid;
fLanguage
English
Publisher
ieee
Conference_Titel
Granular Computing (GrC), 2011 IEEE International Conference on
Conference_Location
Kaohsiung
Print_ISBN
978-1-4577-0372-0
Type
conf
DOI
10.1109/GRC.2011.6122684
Filename
6122684
Link To Document