Modal and Topological Operators Defined over IFSs

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 283)

Abstract

This Chapter includes several operators over IFSs which have no counterparts in the ordinary fuzzy set theory.

Initially, following [11, 39], we introduce two operators over IFSs that transform an IFS into a fuzzy set (i.e., a particular case of an IFS). They are similar to the operators “necessity” and “possibility” defined in some modal logics. Their properties resemble these of the modal logic (see e.g. [227]).

Keywords

Convex Hull Modal Logic Geometrical Interpretation Minimal Convex Standard Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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