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Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators

Authors: Wei-Zhi Wu;

Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators

Abstract

The primitive notions in rough set theory are lower and upper approximation operators defined by a fixed binary relation and satisfy many interesting properties. Many types of generalized rough set models have been developed in the literature. This paper investigates intuitionistic fuzzy rough sets resulted from approximations of intuitionistic fuzzy sets with respect to an arbitrary intuitionistic fuzzy approximation space. By employing two intuitionistic fuzzy implicators, a pair of lower and upper intuitionistic fuzzy rough approximation operators are first defined. Properties of intuitionistic fuzzy rough approximation operators are then presented.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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