Journal
INFORMATION SCIENCES
Volume 375, Issue -, Pages 183-201Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.09.039
Keywords
Three-way decisions; Decision-theoretic rough sets; Intuitionistic fuzzy sets; Point operator
Categories
Funding
- National Science Foundation of China [71401026, 71432003, 71571123, 61273209]
- Fundamental Research Funds for the Central Universities of China [ZYGX2014J100]
- Social Science Planning Project of the Sichuan Province [SC15C009]
- Sichuan Youth Science and Technology Innovation Team [2016TD0013]
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Three-way decisions with decision-theoretic rough sets (DTRSs) as a typical risk decision method, are generated by Bayesian decision theory and have three kinds of decision strategies, i.e., the acceptance decision, the deferment (non-commitment) decision and the rejection decision. The construction of three-way decisions under the complex decision-making context creates enormous challenges. The determination of loss function is one of key steps. In this paper, we discuss the decision principles of three-way decision rules based on the variation of loss functions with intuitionistic fuzzy sets (IFSs). More specifically, we introduce the intuitionistic fuzzy point operator (IFPO) into DTRSs and explore three-way decisions. Firstly, we construct a loss function matrix with the point operator and analyze its corresponding properties. IFPO implies one type of variation modes for the loss functions of three-way decisions. With respect to the point operator, we show that the prerequisites among loss functions still hold in each stage. Secondly, given the loss functions, we construct the corresponding three-way decision model and deduce three-way decisions. Finally, with the aid of information entropy theory, we further investigate which stage may be most suitable to make the decision. This study extends the range of applications of three-way decisions to the new intuitionistic fuzzy environment. (C) 2016 Elsevier Inc. All rights reserved.
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