# Pairwise Comparisons Simplified

arXiv: https://arxiv.org/abs/1311.6863 · HTML: https://mlsanity.com/paper/1311.6863/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Nov 2013.

## Built on by (most cited first, 3 of 3)

- [Almost optimal manipulation of a pair of alternatives](https://mlsanity.com/paper/2304.03060/) (2023)
- [Mean-based incomplete pairwise comparisons method with the reference values](https://mlsanity.com/paper/2207.10783/) (2022)
- [Sufficient conditions for a Heuristic Rating Estimation Method application](https://mlsanity.com/paper/2605.08991/) (2026)

## Abstract (arXiv)

This study examines the notion of generators of a pairwise comparisons matrix. Such approach decreases the number of pairwise comparisons from n· (n-1) to n-1. An algorithm of reconstructing of the PC matrix from its set of generators is presented.