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Leonardi.DB
a logical geometry project

Detecting influential news in online communities: An approach based on hexagons of opposition generated by three-way decisions and probabilistic rough sets (2021), p. 369
by Abbruzzese, Roberto; Gaeta, Angelo; Loia, Vincenzo; Lomasto, Luigi; Orciuoli, Francesco

Caption

Hexagon of opposition. a) General Case; b) Case Study: Opinions shift; c) Case Study: Like-mindedness.

Logic

Aristotelian family
Jacoby-Sesmat-Blanché Sigma-3
Boolean complexity
3
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
Yes
Uniqueness of the vertices up to logical equivalence
Yes
Errors in the diagram
No

Geometry

Shape
Hexagon (irregular)
Colinearity range
0
Coplanarity range
0
Cospatiality range
0
Representation of contradiction
By central symmetry

Vertex description

Conceptual info
No
Mnemonic support (AEIO, purpurea ...)
Yes
Form
dots
Label type
linguistic
,
symbolic
Language
English
Lexical field
verbs
Contains partial sentences or single words
No
Contains abbreviations
No
Symbolic field
logic
Contains partial formulas or symbols
Yes
Logical system
syllogistics

Edge description

Contains definitions of relations
No
Form
dotted lines
,
solid lines
,
none
Has arrowheads
No
Overlap
No
Curved
No
Hooked
No
As wide as vertices
No
Contains text
No
Label type
none

Style

Diagram is colored
Yes
Diagram is embellished
No
Tags
Boolean closed
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