The Structure of Oppositions in Rough Set Theory and Formal Concept Analysis - Toward a New Bridge between the Two Settings (2014), p. 167
by Ciucci, Davide; Dubois, Didier; Prade, Henri

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Caption

Hexagon induced by the 4 operators underlying formal concept analysis

Logic

Aristotelian family

Non-Sigma

Boolean complexity

7

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Hexagon (regular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

N.A.

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

symbolic

Symbolic field

mathematics

Contains partial formulas or symbols

No

Mathematical branch

formal concept analysis

Edge description

Style

Diagram is colored

No

Diagram is embellished

No

Additional notes

The negation closure of this diagram is a sigma-6.