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Ordered set operators

Operators to indicate precedence order From Wikipedia, the free encyclopedia

In mathematical notation, ordered set operators indicate whether an object precedes or succeeds another. These relationship operators are denoted by the unicode symbols U+227A-F, along with symbols located unicode blocks U+228x through U+22Ex.

Mathematical Operators[1]
Official Unicode Consortium code chart (PDF)
0123456789ABCDEF
U+227x ≰ ≱ ≲ ≳ ≴ ≵ ≶ ≷ ≸ ≹ ≺ ≻ ≼ ≽ ≾ ≿
U+228x ⊀ ⊁ ⊂ ⊃ ⊄ ⊅ ⊆ ⊇ ⊈ ⊉ ⊊ ⊋ ⊌ ⊍ ⊎ ⊏
U+22Bx ⊰ ⊱ ⊲ ⊳ ⊴ ⊵ ⊶ ⊷ ⊸ ⊹ ⊺ ⊻ ⊼ ⊽ ⊾ ⊿
U+22Dx ⋐ ⋑ ⋒ ⋓ ⋔ ⋕ ⋖ ⋗ ⋘ ⋙ ⋚ ⋛ ⋜ ⋝ ⋞ ⋟
U+22Ex ⋠ ⋡ ⋢ ⋣ ⋤ ⋥ ⋦ ⋧ ⋨ ⋩ ⋪ ⋫ ⋬ ⋭ ⋮ ⋯
Notes
1.^ As of Unicode version 7.0

Examples

  • The relationship x precedes y is written x ≺ y. The relation x precedes or is equal to y is written x ≼ y.
  • The relationship x succeeds (or follows) y is written x ≻ y. The relation x succeeds or is equal to y is written x ≽ y.[citation needed]

Use in political science

In Political science and Decision theory, order relations are typically used in the context of an agent's choice, for example the preferences of a voter over several political candidates.

  • x ≺ y means that the voter prefers candidate y over candidate x.
  • x ~ y means the voter is indifferent between candidates x and y.
  • x ≲ y means the voter is indifferent or prefers candidate y.[1]

See also

References

External links

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