Formal rules for concept and semantics manipulations in cognitive linguistics and machine learning
Yingxu Wang · 2017
Formal semantic theories underpin a wide range of methodologies in knowledge science, cognitive linguistics, machine learning, and cognitive computing. This paper presents a set of mathematical rules for rigorous concept and semantics manipulations. Mathematical models of the universe of discourse of knowledge, semantic space and formal concepts are created. The formal properties of knowledge are elaborated in the categories of intension/extension, semantic and hierarchical rules based on concept algebra. Recent experiments and breakthroughs in cognitive systems of machine knowledge learning demonstrate applications of the fundamental theories for cognitive linguistics and brain-inspired machine learning.