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Soft rough fuzzy sets and soft fuzzy rough sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2011Publisher:Elsevier BVJournal:Computers & Mathematics with Applications, volume 62, pages 4,635-4,645 (issn: 0898-1221, Copyright policy )
Authors: Keyun Qin; Xiaohong Zhang; Dan Meng;

doi: 10.1016/j.camwa.2011.10.049

Soft rough fuzzy sets and soft fuzzy rough sets

Abstract

AbstractFuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. Feng et al. introduced the notions of rough soft set, soft rough set and soft rough fuzzy set by combining fuzzy set, rough set and soft set all together. This paper is devoted to the further discussion of the combinations of fuzzy set, rough set and soft set. A new soft rough set model is proposed and its properties are derived. Furthermore, fuzzy soft set is employed to granulate the universe of discourse and a more general model called soft fuzzy rough set is established. The lower and upper approximation operators are presented and their related properties are surveyed.

Related Organizations
Keywords

Soft rough fuzzy set, Computational Mathematics, Soft set, Computational Theory and Mathematics, Rough set, Modelling and Simulation, Fuzzy set, Soft rough set, Soft fuzzy rough set

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    		 121
    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.
    		 Top 1%
    influence
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    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
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!
121
Top 1%
Top 10%
Top 10%
hybrid