# Transformation between Rankings and Orderings

### Description

`OrderingToRanking`

transforms between ranking representation and ordering representation.

### Usage

1 | ```
OrderingToRanking(ordering)
``` |

### Arguments

`ordering` |
a matrix of orderings or rankings. Each row contains an observation. |

### Details

Ranking representation encodes the position of objects. Ordering representation is an ordered sequence of objects. For example ranking (2 3 1 4) is equivalent to ordering (3 1 2 4), which means object 3 is first, object 1 is second, followed by object 2 and 4. Also note that we can use this function to transform rankings into orderings, and applying this function twice will not change the input value.

### Value

a matrix of transformed rankings or orderings. Each row contains an observation.

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