Modal and Topological Operators Defined over IFSs
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. ).
KeywordsConvex Hull Modal Logic Geometrical Interpretation Minimal Convex Standard Rule
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