Fuzzy Voronoi diagram for disjoint fuzzy numbers of dimension two

Fuzzy Voronoi diagram for disjoint fuzzy numbers of dimension two

In this paper, we introduce fuzzy Voronoi diagrams for fuzzy numbers of dimension two (FNDT) by extension of crisp Voronoi diagrams for fuzzy numbers. The fuzzy Voronoi sites are defined as fuzzy numbers of dimension two. All the operations are defined in FNDT framework. We propose an analytical app...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2014, Vol.26 (3), p.1253-1262
Hauptverfasser: Arotaritei, Dragos, Ionescu, Florin
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Crisps
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mathematical analysis
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Zusammenfassung:In this paper, we introduce fuzzy Voronoi diagrams for fuzzy numbers of dimension two (FNDT) by extension of crisp Voronoi diagrams for fuzzy numbers. The fuzzy Voronoi sites are defined as fuzzy numbers of dimension two. All the operations are defined in FNDT framework. We propose an analytical approach to compute the boundaries of fuzzy Voronoi diagram for pyramidal-shape FNDT.
ISSN:1064-1246
DOI:10.3233/IFS-130811