Applications of Temporal Conceptual Semantic Systems

Based on Formal Concept Analysis the notion of a Temporal Conceptual Semantic System is introduced as a formal conceptual representation for temporal systems with arbitrary discrete or continuous semantic scales. In this paper, we start with an example of a weather map with a moving high pressure zone to explain the basic notions for Temporal Conceptual Semantic Systems. The central philosophical notion of an object is represented as a formal concept or, more flexible, as a tuple of concepts. Generalizing the idea of a volume of an object in physics we introduce the notion of a

trace

of an object in some space. This space is described as a continuous or discrete concept lattice. Combining the notion of a trace of an object with the notion of a time granule yields the notion of a state of an object at some time granule. This general notion of a state allows for a clear conceptual understanding of particles, waves and Heisenberg’s Uncertainty Relation. Besides these theoretical aspects, Temporal Conceptual Semantic Systems can be used very effectively in practice. That is shown for data of a distillation column using a nested transition diagram.