An Introduction to Projection Fuzzy Associative Memories in Complete Inf-Semilattices

Abstract

In this paper we introduced a projection fuzzy associative memory (PFAM) based on complete inf-semilattice (cisl) derived from complete lattice [0, 1]n by using reference function is called a semilattice based projection fuzzy associative memory (SL-PFAM). Since the PFAM project to input pattern into the set of all max-C (C means conjunction) combination of the fundamental memories set. In experimental section, we compare the performance of SL-PFAM using fuzzy morphological associative memories (FMAMs) as reference functions for the reconstruction of gray scale images that were incomplete patterns and corrupted by different types of noise.