NDLI: Rough matroid

Content Provider	IEEE Xplore Digital Library
Author	Zhu, W. Shiping Wang
Copyright Year	2011
Description	Author affiliation: Lab of Granular Computing, Zhangzhou normal University, Zhangzhou 363000, China (Zhu, W.) \|\| School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China (Shiping Wang)
Abstract	This paper proposes a framework to integrate rough sets with matroids. Specifically, we propose the lower and upper rough matroids which extend the matroid. They are established by the lower and upper approximations of generalized rough sets based on relations, respectively. As a generalization of the lower (upper) rough matroid, the lower (upper) rough greedoid is defined, and it also a generalization of the greedoid. Moreover, an axiom of poset matroid is provided by generalized rough sets based on relations. Finally, we prove that the poset matroid is a special case of the lower rough greedoid.
Starting Page	817
Ending Page	824
File Size	268079
Page Count	8
File Format	PDF
ISBN	9781457703720
e-ISBN	9781457703713
DOI	10.1109/GRC.2011.6122704
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-11-08
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy sets Rough greedoid Bayesian methods Rough sets Poset matroid Probabilistic logic Educational institutions Approximation methods
Content Type	Text
Resource Type	Article

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