ahp.cr {ahpsurvey} | R Documentation |

## Calculates the consistency ratio of each decision-maker

### Description

The `ahp.cr`

function calculates the consistency ratio of each decision-maker, defined by the following equation:

`CR = (\lambda-n)/((n-1)(RI))`

Where `\lambda`

is the maximum eigenvalue of the pairwise comparison matrix, `n`

is the number of attributes, and RI is the random index. Following Saaty and Tran (2007), the RI is a function of `n`

and is the consistency ratio of randomly generated pairwise comparison matrices.

### Usage

```
ahp.cr(ahpmat, atts, ri = NULL)
```

### Arguments

`ahpmat` |
A list of pairwise comparison matrices of each decision maker generated by |

`atts` |
a list of attributes in the correct order. The RI is asymptotic as it approaches n=15, thus it is set to be equal to 1.6 if the number of attributes exceeds 16. |

`ri` |
A user-supplied random index value, probably user generated using |

### Value

A `list`

of consistency ratios of each decision-maker.

### Author(s)

Frankie Cho

### References

Saaty TL, Tran LT (2007).
“On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process.”
*Mathematical and Computer Modelling*, **46**(7), 962 - 975.
ISSN 0895-7177, Decision Making with the Analytic Hierarchy Process and the Analytic Network Process, http://www.sciencedirect.com/science/article/pii/S0895717707000787.

### Examples

```
data(city200)
atts <- c('cult', 'fam', 'house', 'jobs', 'trans')
cityahp <- ahp.mat(df = city200, atts = atts, negconvert = TRUE)
ahp.cr(cityahp, atts)
```

*ahpsurvey*version 0.4.1 Index]