Approaches to the blooean matrix and EI algebra representation of concepts
Xiaodong Liu · Journal of Dalian Maritime University · 2004
AFS method is a new fuzzy mathematic analytical method; it includes AFS Algebra, AFS structure and cognitive field. AFS Algebra is a completely distributive lattice that differs from Blooean Algebra; AFS structure a special system is an important object in the Combinatorics. In this paper, based on the AFS structure and AFS Algebra, a homomorphic mapping between EI Algebra and Ring of Boolean Matrix is given. We also proved that the set of all the elements corresponding to the same Boolean Matrix in an EI Algebra is a Sub EI Algebra, Some properties of Sub EI Algebra is given, and Some new methods used to investigate Sub EI Algebra is given. The essence of concepts can be further studied by using the properties of Sub EI Algebra and the new methods mentioned in the paper.