# 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.

## 23 Citations

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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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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

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- 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

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- 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.

### Reformulating Arrow’s Conditions in Terms of Cardinal Pairwise Comparison Matrices Defined Over a General Framework

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In the paper, we deal with cardinal preferences of experts when these are expressed by means of Pairwise Comparison Matrices (PCMs). In order to obtain general results, suitable for several kinds of…

### On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method

- Computer ScienceFundam. Informaticae
- 2015

This article explores the relationship between inconsistency of input and error of output and two properties of the weight deriving procedure are formulated.

## References

SHOWING 1-10 OF 22 REFERENCES

### A weak order solution to a group ranking and consistency-driven pairwise comparisons

- Computer ScienceAppl. Math. Comput.
- 1998

### Pairwise Comparisons Based Non-Numerical Ranking

- Computer Science, MathematicsFundam. Informaticae
- 2009

A systematic procedure for deriving weakly ordered non-numerical rankings from given sets of data is proposed and analysed and the concept of a partially ordered approximation of an arbitrary binary relation is formally defined.

### Remarks on the analytic hierarchy process

- Economics
- 1990

The analytic hierarchy process AHP is flawed as a procedure for ranking alternatives in that the rankings produced by this procedure are arbitrary. This paper provides a brief review of several areas…

### A comparative analysis of methods for constructing weak orders from partial orders

- Mathematics
- 1975

This paper compares three methods (sequel, cardinal, maximal) for constructing a weak order from a partial order on a finite set. The constructed weak orders include the partial order. To evaluate…

### Social Choice and Individual Values

- Economics
- 1951

Originally published in 1951, Social Choice and Individual Values introduced "Arrow's Impossibility Theorem" and founded the field of social choice theory in economics and political science. This new…

### A law of comparative judgment.

- Education
- 1994

The object of this paper is to describe a new psychophysical law which may be called the law of comparative judgment and to show some of its special applications in the measurement of psychological…

### Group decision making and Quality-of-Information in e-Health systems

- Computer ScienceLog. J. IGPL
- 2011

Under this framework that a Multi-valued Extended Logic Programming language will be used for knowledge representation and reasoning, leading to a model that embodies the Quality-of-Information (QoI) and its quantification, along the several stages of the decision making process.

### Algebra der →⌝-Logik

- Philosophy
- 1959

Dieses Kapitel kann beim ersten Lesen uberschlagen werden und ist etwas kurzer gefast. Es wird in ihm eine reizvolle zweite logische Algebra vorgefuhrt, die sich lediglich auf die aussagenlogischen…