1. A fuzzy syllogistic inference system for processing a chain of implications that includes as the first link in the chain a minor premise that serves as an antecedent to infer a consequent of its major premise, which consequent serves as the antecedent to infer a consequent of the major premise in the next link of the chain, this process continuing through the last link in the chain comprising: circuit means for each link in the chain for receiving as one input a signal corresponding to the confidence measure of the antecedent of the link and as another input a signal corresponding to the confidence measure of the major premise of the link and for generating a first output as the consequent of the link a signal corresponding to the confidence measure of the major premise of the link and a second output as the fidelity measure of the consequent of the link a signal which is the bounded difference between the confidence measure of the major premise and the complement of the confidence measure of the antecedent of the link, means for coupling between successive said circuit means for each link the signal that is the first output as the consequent of the link to the one input corresponding to the confidence measure of the major premise of the link as the antecedent of the succeeding link in the chain, and means for deriving the consequent of the last link in the chain as the consequent of the chain and deriving the lowest fidelity measure of any link in the chain as the fidelity measure of the consequent of the chain.