期刊
KNOWLEDGE-BASED SYSTEMS
卷 105, 期 -, 页码 190-205出版社
ELSEVIER
DOI: 10.1016/j.knosys.2016.05.021
关键词
Decision-theoretic theory; Double-quantitative; Generalized multigranulation; Granular computing
资金
- Natural Science Foundation of China [61105041, 61472463, 61402064]
- National Natural Science Foundation of CQ CSTC [cstc2013jcyjA40051, cstc2015jcyjA40053]
- Graduate Innovation Foundation of Chongqing University of Technology [YCX2015227, YCX2014236]
- Graduate Innovation Foundation of CQ [CYS15223]
The principle of the minority subordinate to the majority is the most feasible and credible when people make decisions in real world. So generalized multigranulation rough set theory is a desirable fusion method, in which upper and lower approximations are approximated by granular structures satisfying a certain level of information. However, the relationship between a equivalence class and a concept under each granular structure is very strict. Therefore, more attention are paid to fault tolerance capabilities of double-quantitative rough set theory and the feasibility of majority principle. By considering relative and absolute quantitative information between the class and concept, we propose two kinds of generalized multigranulation double-quantitative decision-theoretic rough sets(GMDq-DTRS). Firstly, we define upper and lower approximations of generalized multigranulation double-quantitative rough sets by introducing upper and lower support characteristic functions. Then, important properties of two kinds of GMDq-DTRS models are explored and corresponding decision rules are given. Moreover, internal relations between the two models under certain constraints and GMDq-DTRS and other models are explored. The definition of the approximation accuracy in GMDq-DTRS is proposed to show the advantage of GMDq-DTRS. Finally, an illustrative case is shown to elaborate the theories advantage of GMDq-DTRS which are valuable to deal with practical problems. Generalized multigranulation double-quantitative decision-theoretic rough set theory will be more feasible when making decisions in real life. (C) 2016 Elsevier B.V. All rights reserved.
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