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Erschienen in: International Journal of Machine Learning and Cybernetics 4/2016

01.08.2016 | Original Article

Interval-valued fuzzy planar graphs

verfasst von: Tarasankar Pramanik, Sovan Samanta, Madhumangal Pal

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 4/2016

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Abstract

In this paper, interval-valued fuzzy planar graphs are defined and several properties are studied. The interval-valued fuzzy graphs are more efficient than fuzzy graphs, since the degree of membership of vertices and edges lie within the interval [0, 1] instead at a point in fuzzy graphs. We also use the term ‘degree of planarity’ to measures the nature of planarity of an interval-valued fuzzy graph. The other relevant terms such as strong edges, interval-valued fuzzy faces, strong interval-valued fuzzy faces are defined here. The interval-valued fuzzy dual graph which is closely associated to the interval-valued fuzzy planar graph is defined. Several properties of interval-valued fuzzy dual graph are also studied. An example of interval-valued fuzzy planar graph is given.

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Metadaten
Titel
Interval-valued fuzzy planar graphs
verfasst von
Tarasankar Pramanik
Sovan Samanta
Madhumangal Pal
Publikationsdatum
01.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 4/2016
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0284-7

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