Modelling Theory and Practice/Modelling with Concepts
| composite | even | odd | prime | square | |
|---|---|---|---|---|---|
| 1 | √ | √ | |||
| 2 | √ | √ | |||
| 3 | √ | √ | |||
| 4 | √ | √ | √ | ||
| 5 | √ | √ | |||
| 6 | √ | √ | |||
| 7 | √ | √ | |||
| 8 | √ | √ | |||
| 9 | √ | √ | √ | ||
| 10 | √ | √ |
Start: single property R(x). Now: extend by further properties R(x), S(x), T(x).
Can be shown in a table like:
Problem: how to keep the overview? Solution: by introducing concepts.
What is a concept:
- Intuition
- Characteristics
- Definition
- Hasse diagram
Basic structures
- linear order
- taxonomy (tree)
- diamond
Fundamental theorem of concept analysis: the set of concepts are a lattice.
More complex structures.