Issue:Geometrical interpretations of the π-function values of intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/12/1/56-64

Title of paper: Geometrical interpretations of the π-function values of intuitionistic fuzzy sets Author(s): Kalin Georgiev CLBME – Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria k.georgiev@clbme.bas.bg Violeta Tasseva CLBME – Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria violeta@clbme.bas.bg Krassimir Atanassov CLBME – Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria krat@clbme.bas.bg Published in: "Notes on IFS", Volume 12, 2006, Number 1, pages 56-64 Download:  PDF (263  Kb, Info) Abstract: This article provides a brief overview of known geometrical interpretations of Intuitionistic Fuzzy Sets[1]. A new classification of IF sets is proposed based on the relations between the ranges of the membership and non-membership functions defined for the elements of an IFS. AMS Classification: 03E72. References: Atanassov, K (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag. Atanassov, K (2002) Remark on a property of the intuitionistic fuzzy interpretation triangle. Notes on Intuitionistic Fuzzy Sets, Vol. 8, No. 1, 34-36. Szmidt E. (2000) Applications of intuitionistic fuzzy sets in decision making. (D.Sc. dissertation) Techn. Univ. Sofia. Tasseva, V., Szmidt, E., Kacprzyk, J. (2005) On one of the geometrical interpretations of the intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, Vol. 11, No. 2, 21-27. Atanassova, V. Strategies for decision making in the conditions of intuitionistic fuzziness. In: - Computational Intelligence, Theory and Applications (B. Reusch, Ed.), Springer, Berlin, 2005, 263-269. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.