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Title: Generalized interval-valued fuzzy variable precision rough sets
Authors: Hu, BQ
Wong, H 
Keywords: Fuzzy logical operators
Interval-valued fuzzy rough sets
Interval-valued fuzzy sets
Interval-valued fuzzy variable precision rough sets
Issue Date: 2014
Publisher: Chinese Fuzzy Systems Association
Source: International journal of fuzzy systems, 2014, v. 16, no. 4, p. 554-565 How to cite?
Journal: International journal of fuzzy systems 
Abstract: For interval-valued fuzzy datasets, people have started to do research on interval-valued fuzzy rough sets and relevant models. However, these models could not be effectively applied to handle the real-valued datasets such as interval-valued fuzzy datasets as variable precision problems were not considered in interval-valued fuzzy rough sets. In this paper, fuzzy variable precision rough sets are generalized to interval-valued fuzzy sets, with consideration of interval precisions and interval-valued fuzzy relations. Combining interval-valued fuzzy set with rough sets and variable precision rough sets, this paper develops generalized interval-valued fuzzy variable precision rough sets (GIVF-VPRSs) based on triangular norms and fuzzy logical operators respectively. using the basic properties of GIVF-VPRSs, this paper gives granule representation form of the upper approximation operator in GIVF-VPRSs based on triangular norms and granule representation form of the lower approximation operator in GIVF-VPRSs, which is based on fuzzy logical operators. The conclusions show that some existing models, such as interval-valued fuzzy rough sets, variable precision rough sets and fuzzy variable precision rough sets, are special examples of GIVF-VPRSs proposed in this paper.
ISSN: 2199-3211
EISSN: 1562-2479
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