New universal logic operation models and neurons on generalized interval

Abstract

We call any interval [a,b] generalized interval. In the before work, the operation models of universal logic and neurons were limited in interval [0,1]. Authors mainly studied the universal logic operation models and neurons based on generalized interval [a,b]. Using the NTS norms theories, this paper established the universal logic operation models on generalized interval [a,b]. And the paper gave a new uniform neuron model of several universal logic operators on generalized interval [a,b]. It made the reasoning of universal logic neuron more flexible. It proved that the operation models and neurons were sound. The work offered important theories and models for universal logic in correlation reasoning of neural systems. It is a new way for neuron reasoning from the points of generalized NTS norms and generalized interval.