A Knowledge Representation Tool Based on Concept Algebra

A formal theory for abstract concepts and knowledge manipulation is created by Wang recently known as concept algebra. Concept algebra is an abstract mathematical structure for the formal treatment of concepts and their algebraic relations, operations, and associative rules for composing complex concepts, which provides a denotational mathematic means for knowledge system representation and manipulation. This paper presents a method that shows how the theory of concept algebra is implemented and simulated using typical computers. A visualized knowledge representation tool for concept algebra is developed, which enables machines learn concepts and knowledge autonomously. Nine forms of concept association operations are implemented in the tool to rigorously manipulate knowledge by concept networks. The knowledge representation tool is capable to present concepts and knowledge systems in multiple ways, in order to visualize concept networks by computer simulations.