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

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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

Yes

Mnemonic support (AEIO, purpurea ...)

Yes

Form

dots

Label type

linguistic

,

symbolic

Language

English

Lexical field

adjectives

Contains partial sentences or single words

Yes

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