Issue:Intuitionistic fuzzy Voronoi diagrams – Definition and properties

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Title of paper: Intuitionistic fuzzy Voronoi diagrams – Definition and properties Author(s): Lyudmila Todorova Centre of Biomedical Engineering, Bulgarian Academy of Sciences, Acad.G.Bonchev Str., B1.105, Sofia, Bulgaria lpt@clbme.bas.bg Anton Antonov Centre of Biomedical Engineering, Bulgarian Academy of Sciences, Acad.G.Bonchev Str., B1.105, Sofia, Bulgaria a.antonov@clbme.bas.bg Stefan Hadjitodorov Centre of Biomedical Engineering, Bulgarian Academy of Sciences, Acad.G.Bonchev Str., B1.105, Sofia, Bulgaria sthadj@argo.bas.bg Presented at: Eighth International Conference on Intuitionistic Fuzzy Sets, Varna, 20-21 June 2004 Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 4, pages 56-60 Download:  PDF (4213  Kb, File info) Abstract: It is defined modification of Voronoi diagrams named intuitionistic fuzzy Voronoi diagrams (IFVD). Properties of IF WD are examined. The base of geometrical properties of IF VD are placed. Keywords: intuitionistic fuzzy sets, object-reflecting infrared sensor, mobile robots’ control, object localization References: Voronoi, G.M.. Nouvelles applications des paramétres continus a la théorie des formes quadratiques. deuxiéme Mémoire: Recherches sur les parallélloédres primitifs. J. Reine Angew. Math., 134:198—287, 1908. Aurenhammer, F. Voronoi diagrams a survey of a fundamental geometric data structure. ACM Comput. Surv., 23(3):345-405, Sept. 1991. McAllister, M., D. Kirkpatrick, and J. Snoeyink, A compact piccewisc-lincar Voronoi diagram for convex sites in the plane, Discrete & Computational Geometry, 15 (1996), 73--105. Barequet, G., M. Dickerson, and M.T. Goodrich, Voronoi Diagrams for Polygon-Offset Distance Functions, Proc. 5th Workshop on Algorithms and Data Structures, Halifax, Nova Scotia, Canada, Lecture Notes in Computer Science, 1272, Springer-Verlag, pp 200-209, 1997. Lee, D.T., On k-nearest neighbors Voronoi diagrams in the plane. /EEE Transactions on Computers, C-31: pp 478-487, 1982. Kuncheva, L., L. Todorova. Prototype Selection for an RBF Network by a Genetic Algorithm. Proceedings of the international ICSC Symposia on Intelligent Industrial Automation (IITA’96) and Soft Computing (SOCO’96), (P. Anderson and K. Warwick, Eds.), Reading, U.K., March 26-28, pp. B100 — B106, 1996. Todorova, L. An intuitionistic fuzzy version of the nearest prototype classification method, based on a Voronoi’s diagrams. Atanassov K. Intuitionistic Fuzzy Sets. Heidelberg: Physica-Verlag, 1999. Gibbons, A.. Algorithmic Graph Theory. Cambridge Universite Press, Cambridge, 1985. Citations: Issue:Intuitionistic fuzzy Voronoi diagrams — definition and properties. Part 2 ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.