Geometrical Interpretations of IFSs

  • Krassimir T. Atanassov
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 283)


In this Chapter, several geometrical interpretations of the IFSs are discussed.

The ordinary fuzzy sets have only one geometrical interpretation, while in this Section two interpretations of IFSs are given, following [20]. In Section 3.3, we discuss even more. There exist seven different geometrical interpretations so far. The most relevant of them are discussed below.


Geometrical Interpretation Equilateral Triangle Transformation Formula Expert Estimation Innermost Zone 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical EngineeringBulgarian Academy of SciencesSofiaBulgaria

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