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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.
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 6 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |