Representation of fuzzy subsets by Galois connections

摘要: There is a great deal of fuzziness in our everyday natural language, and thus fuzzy subsets have come to represent direct generalisation the indicator function classical subset. On other hand, Galois connection given by two opposite order-inverting maps whose composition yields closure operations between ordered sets. We present one-to-one correspondence set all connections. The essential correspondences are built with help α-cuts, which means Moreover, we relationship strong negations lattices various extensions from point view nestedness recalled. Other fruitful properties connections related studies included.