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]).
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© 2012 Springer-Verlag Berlin Heidelberg
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Atanassov, K.T. (2012). Modal and Topological Operators Defined over IFSs. In: On Intuitionistic Fuzzy Sets Theory. Studies in Fuzziness and Soft Computing, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29127-2_4
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DOI: https://doi.org/10.1007/978-3-642-29127-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29126-5
Online ISBN: 978-3-642-29127-2
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