Ordered set operators

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)

0

1

2

3

4

5

6

7

8

9

A

B

C

D

E

F

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

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

References

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

External links

• Wolfram Mathworld: precedes and succeeds