# On a pairwise comparison-based consistent non-numerical ranking

@article{Janicki2012OnAP, title={On a pairwise comparison-based consistent non-numerical ranking}, author={Ryszard Janicki and Yun Zhai}, journal={Log. J. IGPL}, year={2012}, volume={20}, pages={667-676} }

We discuss a consistent model of pairwise comparison-based non-numerical ranking. An algorithm that enforces consistency for raw or partially organized ranking data is presented and its properties are analysed. The concept of testing subjective rankings is also discussed.

## 24 Citations

### Remarks on Pairwise Comparison Numerical and Non-numerical Rankings

- Computer Science, MathematicsRSKT
- 2011

A consistent non-numerical ranking that is equivalent to a given consistent numerical ranking is constructed and the correctness of this construction is proven.

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A relationship between the classical multiplicative pairwise comparisons that are based on aij aji = 1, the additive model based on $b_j^i + b_i^j = 1$, and qualitative pairwise comparisons that uses…

### Inconsistency in the ordinal pairwise comparisons method with and without ties

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### Approximations of arbitrary relations by partial orders

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### Property-Driven Rough Sets Approximations of Relations

- Mathematics, Computer ScienceRough Sets and Intelligent Systems
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The problem of approximating an arbitrary relation by a relation with desired properties by two special cases, approximation by partial orders and approximation by equivalence relations are formally defined and analysed.

### Heuristic Rating Estimation Approach to The Pairwise Comparisons Method

- BusinessFundam. Informaticae
- 2014

The main purpose of this paper is to extend the previously proposed iterative HRE algorithm and present all the heuristics that create a generalized approach and a few numerical examples demonstrating how the selected heuristic can be used in practice.

### A Mixed Model for Pairwise Comparisons and Its Applications

- Computer Science
- 2015

This thesis substantially refine ‘mixed model’, and provides some formal foundations for scales and assignment of numerical values for qualitative factors and based on these a formal process to be followed will be followed.

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