Fuzzy Voronoi diagram for disjoint fuzzy numbers of dimension two

Article type: Research Article

Authors: Arotaritei, Dragos | Ionescu, Florin

Affiliations: “Grigore T. Popa” University of Medicine and Pharmacy, Iasi, Romania, Romania | Steinbeis University, Berlin, Germany

Note: [] Corresponding author. Dragos Arotaritei, “Grigore T. Popa” University of Medicine and Pharmacy, Iasi, Romania, Romania. E-mail: [email protected]; [email protected] (F. Ionescu)

Abstract: 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.

Keywords: Fuzzy Voronoi diagram, fuzzy numbers of dimension two, generalized perpendicular bisector, computational geometry

DOI: 10.3233/IFS-130811

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1253-1262, 2014