The Topology of AFS Structure and AFS Algebras

Abstract

In this paper, we will study the topological structure of the AFS structures published by the author; discuss the topological molecular lattice structures onEI,*EI,EII,*EIIalgebras published by the author; and give the relations of these topological structures. As applications, we study the topological produced by a family of fuzzy concepts in the AFS algebras and apply these to analyze relations among fuzzy concepts. Using these, we believe that we can study the law of human thinking. The most important fact is that all these can be operated by computers. We are also sure AFS theory will play an important role in information processing. © 1998 Academic Press.