[1]WANG Yanping,WANG Jinying.Uncertainty measurement of the rough interval-valued intuitionistic fuzzy sets[J].CAAI Transactions on Intelligent Systems,2014,9(4):449-453.[doi:10.3969/j.issn.1673-4785.201303013]
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Uncertainty measurement of the rough interval-valued intuitionistic fuzzy sets

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 9 Number of periods: 2014 4 Page number: 449-453 Column: 学术论文—智能系统 Public date: 2014-08-25
Title:
Uncertainty measurement of the rough interval-valued intuitionistic fuzzy sets
Author(s):
WANG Yanping;  WANG Jinying
School of Science, Liaoning University of Technology, Jinzhou 121001, China
Keywords:
interval-valued intuitionistic fuzzy sets; fuzzy entropy; rough interval-valued intuitionistic fuzzy sets; rough membership function; uncertainty measurement
CLC:
TP301;O236
DOI:
10.3969/j.issn.1673-4785.201303013
Abstract:
In order to give an uncertainty measurement of the interval-valued intuitionistic fuzzy rough set, initially based on a trigonometric function, an interval-valued intuitionistic fuzzy entropy formula is proposed by using a concise axiom definition of the interval-valued intuitionistic fuzzy entropy. The problems concerning the interval-valued intuitionistic fuzzy entropy formula discussed in the previous literature are also pointed out. Then the rough membership function of the interval-valued intuitionistic fuzzy set is defined and when using the interval-valued intuitionistic fuzzy entropy of rough membership functions, uncertainty measurement of the interval-valued intuitionistic fuzzy rough set is given, and some related properties of the measurement are discussed for the purpose of proving the rationality of the definition.
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