Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 62, Issue 12, Pages 4635-4645Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.10.049
Keywords
Fuzzy set; Rough set; Soft set; Soft rough set; Soft rough fuzzy set; Soft fuzzy rough set
Categories
Funding
- National Natural Science Foundation of China [61175044]
- Humanities and Social Science Foundation for the Youth Scholars of Ministry of Education of China
- Southwestern University of Finance and Economics
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Fuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. Feng et al. introduced the notions of rough soft set, soft rough set and soft rough fuzzy set by combining fuzzy set, rough set and soft set all together. This paper is devoted to the further discussion of the combinations of fuzzy set, rough set and soft set. A new soft rough set model is proposed and its properties are derived. Furthermore, fuzzy soft set is employed to granulate the universe of discourse and a more general model called soft fuzzy rough set is established. The lower and upper approximation operators are presented and their related properties are surveyed. (C) 2011 Elsevier Ltd. All rights reserved.
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