期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 10, 页码 4605-4633出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.11.071
关键词
Soft sets; Rough sets; Intuitionistic fuzzy soft sets; Intuitionistic fuzzy relations; Approximate precision; Rough degree
资金
- National Natural Science Foundation of China [61073121]
- Natural Science Foundation of Hebei Province of China [2010000318]
The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. Since its appearance, there has been some progress concerning practical applications of soft set theory, especially the use of soft sets in decision making. The intuitionistic fuzzy soft set is a combination of an intuitionistic fuzzy set and a soft set. The rough set theory is a powerful tool for dealing with uncertainty, granuality and incompleteness of knowledge in information systems. Using rough set theory, this paper proposes a novel approach to intuitionistic fuzzy soft set based decision making problems. Firstly, by employing an intuitionistic fuzzy relation and a threshold value pair, we define a new rough set model and examine some fundamental properties of this rough set model. Then the concepts of approximate precision and rough degree are given and some basic properties are discussed. Furthermore, we investigate the relationship between intuitionistic fuzzy soft sets and intuitionistic fuzzy relations and present a rough set approach to intuitionistic fuzzy soft set based decision making. Finally, an illustrative example is employed to show the validity of this rough set approach in intuitionistic fuzzy soft set based decision making problems. (C) 2011 Elsevier Inc. All rights reserved.
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