On the lattice of fuzzy weak subalgebras of a fuzzy partial algebra

Fuzzy partial algebras can be understood as incomplete algebraic structures whose elements are uncertain or imprecise, and thus fuzzy weak subalgebras of a fuzzy algebra correspond to structural approximations of the knowledge represented by the fuzzy algebra. In this paper we characterize those lattices that are isomorphic to the lattice of fuzzy weak subalgebras of a fuzzy partial algebra, and we discuss what information about a fuzzy monounary partial algebra can be extracted from its lattice of fuzzy weak subalgebras.