Ordered set operators explained

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 Official Unicode Consortium code chart (PDF)

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1

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A

B

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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.

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

• Glossary of mathematical symbols
• Order theory
• Partially ordered set
• Directional symbols
• Polynomial-time reduction

References

1. Web site: Cooley. Brandon. Ordered Sets.. 2021-05-11. 2–3. Lecture note for: Introduction to Mathematics for Political Science (2019) at Princeton University.

External links

• Wolfram Mathworld: precedes and succeeds