Fuzzy morphological associative memories based on uninorms

Fuzzy morphological associative memories (FMAMs) extend morphological associative memories (MAMs) to the fuzzy domain. FMAMs were derived using concepts of fuzzy set theory and mathematical morphology. In general, FMAMs either perform a maximum of conjunctions or a minimum of disjunctions at every node. We recently introduced a general class of learning strategies for FMAMs called fuzzy leaning by adjunction (FLA). The focus of this paper is on FMAMs that are based on (conjunctive or disjunctive) uninorms. We show that uninorm-based FMAMs generalize implicative fuzzy associative memories (IFAMs) and their dual versions. Moreover, we provide an isomorphism between FMAMs based on representable uninorms and MAMs. Finally, we point out that auto-associative uninorm-based FMAMs exhibit optimal absolute storage capacity and one-step convergence.