標題: Dominance-based fuzzy rough set analysis of uncertain and possibilistic data tables
作者: Fan, Tuan-Fang
Liau, Churn-Jung
Liu, Duen-Ren
資訊管理與財務金融系 註:原資管所+財金所
Department of Information Management and Finance
關鍵字: Dominance-based rough set approach;Multi-criteria decision analysis;Preference-ordered data tables;Rough set theory;Uncertain data tables;Possibilistic data table
公開日期: 1-Dec-2011
摘要: In this paper, we propose a dominance-based fuzzy rough set approach for the decision analysis of a preference-ordered uncertain or possibilistic data table, which is comprised of a finite set of objects described by a finite set of criteria. The domains of the criteria may have ordinal properties that express preference scales. In the proposed approach, we first compute the degree of dominance between any two objects based on their imprecise evaluations with respect to each criterion. This results in a valued dominance relation on the universe. Then, we define the degree of adherence to the dominance principle by every pair of objects and the degree of consistency of each object. The consistency degrees of all objects are aggregated to derive the quality of the classification, which we use to define the reducts of a data table. In addition, the upward and downward unions of decision classes are fuzzy subsets of the universe. Thus, the lower and upper approximations of the decision classes based on the valued dominance relation are fuzzy rough sets. By using the lower approximations of the decision classes, we can derive two types of decision rules that can be applied to new decision cases. (C) 2011 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.ijar.2011.01.009
http://hdl.handle.net/11536/14850
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2011.01.009
期刊: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume: 52
Issue: 9
起始頁: 1283
結束頁: 1297
Appears in Collections:Conferences Paper


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