Seminár Ústavu informatiky


Characterization of fuzzy subsets by Galois connections

RNDr. Ľubomír Antoni, PhD.
Ústav informatiky, PF UPJŠ

1. marca 2017 (streda) o 12:45
SJ2S07 (3.16T), PF UPJŠ


We present the one-to-one correspondence between the set of all fuzzy subsets and the set of all Galois connections. The essential correspondences are built with the help of a-cuts, which represent fuzzy subsets by classical sets. Moreover, we present a relationship between strong fuzzy negations in the lattices and Galois connections. The various extensions of fuzzy subsets from the point of view of nestedness and negations are recalled.