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International Journal of Intelligent Systems
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International Journal of Intelligent Systems
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Intuitionistic fuzzy sets: Spherical representation and distances

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2009 United Kingdom English Publisher:Hindawi LimitedJournal:International Journal of Intelligent Systems, volume 24, pages 399-420 (issn: 0884-8173, eissn: 1098-111X, Copyright policy )
Authors: Yingjie Yang; Francisco Chiclana;

doi: 10.1002/int.20342

handle: 2086/1005

Intuitionistic fuzzy sets: Spherical representation and distances

Abstract

In Intuitionistic Fuzzy Set (IFS) theory more than 10 different geometrical interpretations are constructed. In the paper, two (the most popular) of them are discussed. A new -- spherical -- geometrical representation of the IFSs is described. The idea for it was introduced for the first time by \textit{I. Antonov} in [``On a new geometrical interpretation of the intuitionistic fuzzy sets'', Notes IFS 1, No.~1, 29--31 (1995; Zbl 0850.04007)]. A review of the existing norms and metrics defined over IFSs is given and new norms and metrics, generated by the spherical interpretation, are introduced. Their basic properties are studied.

Country
United Kingdom
Related Organizations
Keywords

Theory of fuzzy sets, etc.

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    selected citations
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    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).
    		 65
    popularity
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    		 Top 1%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
65
Top 1%
Top 10%
Top 10%
bronze