Fuzzy Voronoi diagram for disjoint fuzzy numbers of dimension two

  • Authors:
  • Dragos Arotaritei;Florin Ionescu

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

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
  • Year:
  • 2014

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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.