# The Structure of Oppositions in Rough Set Theory and Formal Concept Analysis - Toward a New Bridge between the Two Settings (2014), p. 158

by Ciucci, Davide; Dubois, Didier; Prade, Henri

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### Caption

- Cube of oppositions induced by a relation $R$ and a subset $S$

- Aristotelian family
- Keynes-Johnson Sigma-4
- Boolean complexity
- 7
- Number of labels per vertex (at most)
- 2
- Equivalence between (some) labels of the same vertex
- No
- Analogy between (some) labels of the same vertex
- No
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Cube (regular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By some other geometric feature

### Logic

### Geometry

- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- Yes
- Form
- none
- Label type
- symbolic
- Symbolic field
- mathematics ,
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- syllogistics
- Mathematical branch
- formal concept analysis

### Vertex description

### Edge description

- Diagram is colored
- No
- Diagram is embellished
- No