Optical Implementation of Min and Max Operation

Abstract

In fuzzy logic [1,2] and fuzzy cognitive maps (FCM) [3-5], the operations of maximum and minimum play roles that are parallel to those played by addition and multiplication in ordinary matrix algebra. For example, in a fuzzy associative memory (FAM) [6], the connection matrix is constructed by taking the outer product of the vector to be memorized with min operation substituting for product of elements, i.e, tij = min (ai, aj).