Journal
KNOWLEDGE-BASED SYSTEMS
Volume 27, Issue -, Pages 60-68Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2011.07.012
Keywords
Bipolar fuzzy set; Bipolar fuzzy rough ser model; Transformation; Kernel; Closure
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Funding
- Fundamental Research Funds for the Central Universities
- Natural Science Foundation of Shaanxi Province [2010JM1005]
- National Natural Science Foundation of China [11071151]
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In this paper, the notions of the union, the intersection, and the inverse of bipolar fuzzy approximation spaces are first introduced, respectively, and some related results are obtained. Then, the composition of bipolar fuzzy approximation spaces are proposed, and some properties are discussed. Finally, we give two examples to illustrate the applications of bipolar fuzzy rough set models' transformation in multiple criteria decision making. (C) 2011 Elsevier B.V. All rights reserved.
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