Methods · Ranking
ORESTE (Organisation, Rangement Et Synthèse de données rElaTionnEllEs)
ORESTE is a method that compares alternatives and the importance of criteria not by exact figures but purely by their ranks, producing a single order.
Base method's data type: Classical
What Is the Method?
ORESTE is a ranking method used when you hold ranking information rather than exact measurement. It asks the decision-maker for neither a precise numerical weight for the criteria nor an exact measurement for the alternatives; it uses only "which is ahead of which" information. Its output is an ascending score for the alternatives; the lower the score, the further ahead the alternative. Roubens proposed it in 1982, and the computation procedure used today was clarified by Pastijn and Leysen in 1989.
The Philosophy Behind It
The idea behind ORESTE is this: asking people for exact numbers often creates an artificial precision. An expert can say "this supplier is more reliable than that one," but forced to say "exactly twelve per cent more reliable," they make the number up. ORESTE accepts this reality and combines two kinds of rank information: the rank of the alternatives on each criterion, and the rank of the criteria's own importance relative to one another. It reduces both to a single order with the same logic, by computing an average rank (the Besson method).
The philosophical consequence of this approach is fully ordinal. ORESTE looks not at numerical magnitude but at rank; the gap between coming first and second on a criterion, whether small or large in the actual measurement, is the same "one rank" difference to the method. This carries less information than methods that use exact figures, such as TOPSIS, but requires fewer assumptions; it claims no more than the true precision of the information you actually hold.
How It Works
The method proceeds through four steps.
First, ranking per criterion. For each criterion the alternatives are ranked against one another: on a "lower is better" criterion the smallest value takes first rank, on a "higher is better" criterion the largest value takes first rank.
Second, the combined position. ORESTE combines every alternative's rank on every criterion with that criterion's importance rank. This combined position is the average of the alternative's rank on the criterion and the criterion's importance rank. In this way both "how far ahead is this alternative on this criterion" and "how important is this criterion overall" meet in a single number.
Third, the global rank. The combined positions of all alternative-criterion pairs are gathered together and reordered into a single rank; in this ordering, equal values receive the average rank (the Besson method). Every alternative's combined position on every criterion now corresponds to a value in this global rank.
Fourth, the total score and ranking. The global rank values an alternative receives across all criteria are summed. The lower this total, the further ahead the alternative; ORESTE ranks the alternatives by this total from lowest to highest.
The formulas behind each step, the intermediate tables and citation formats are given on the DecisionMind method page; this card carries no formulas.
How to Read the Output
The total score is a sum of ranks, not a distance or a percentage. The gap between two alternatives' scores does not say how large the real performance difference between them is; it says only how many rank steps separate them. An alternative scoring 20 is not "twice as bad" as one scoring 10; it has simply fallen to positions further back in the global rank.
The method also carries a threshold, δ. This threshold determines whether the gap between two alternatives counts as a meaningful advantage or as a difference too small for the method to distinguish. If δ is chosen small, many pairs come out "incomparable"; if chosen large, almost everything is deemed equal. The ranking given by the total score should therefore be read together with the choice of δ.
Therefore, instead of writing:
"ORESTE proved A2 was the best"
the report should read:
"With this ranking information, A2 is furthest ahead in the global rank; but because ORESTE uses rank rather than distance, it says nothing about the size of this advantage"
Data Type and Inputs
ORESTE works with crisp data, but unlike other crisp methods it does not use the data directly, only in ranked form. DecisionMind holds no extension of this base method.
You need, for each criterion, the alternatives' performance rank (or a measurement convertible to rank) and, for each criterion, whether higher or lower is better. You also need the criteria's own importance rank relative to one another; this is not an exact weight but a rank, such as "first is most important, second less so." Finally, a δ threshold is set. ORESTE does not produce weights, it asks for a rank; decimal weights summing to 1 are not entered here. A minimum of two alternatives and two criteria is required; three to twelve criteria work comfortably.
When to Use It, When Not To
If you can confidently express your criteria and alternatives only by rank rather than by exact figures, or if your numerical data is not precise, ORESTE is a suitable choice. Expert panels, vote-based assessments, and situations where "there is no exact measurement, but who is ahead of whom is known" are its typical territory.
The case where it should not be used is where you hold reliable, exact numerical data and want to use that data in full. ORESTE reduces numbers to rank; if two alternatives have a small but real numerical difference, this difference is reflected in the ranking merely as "one step," and its magnitude is lost. If you have exact data, cardinal methods such as TOPSIS or SAW use the information more fully.
Only ranking is reliable, exact measurement is uncertain → ORESTE
Exact, reliable numerical data, the full information should be used → TOPSIS, SAW, VIKOR
The importance of the criteria is also known only by rank, no numerical weight → ORESTE
Weights are numerical and clear → weighting methods such as AHP, BWM, SWARA
Strengths
ORESTE's greatest advantage is the realism of what it asks for. It does not demand a precision the decision-maker does not have; ranking is the natural form of human judgement, and most experts are more comfortable ranking than assigning figures. There is no scale or unit problem either, since no normalisation is needed: ranks are already unit-free. Because it takes the importance of criteria as a rank rather than a numerical weight, much of the arbitrariness in the weight-setting process is removed.
Weaknesses
Its limitations arise from how little data it demands. Ordinal reduction loses information: a small difference and a large difference in the real measurement can appear as the same "one step" in the ranking (Bourguignon and Massart, 1994). The choice of the δ threshold is left largely to the decision-maker, and this choice can change the result; a small δ produces many incomparable pairs, while a large δ makes almost every alternative equal. In the global ranking, equal values take the average rank; this is called the Besson method. When a new alternative is added to the dataset, all ranks must be recomputed, carrying the same rank-reversal risk seen in other ranking methods.
Common Mistakes
The most common mistake is entering the criteria's importance rank as though it were a numerical weight, in decimal form. ORESTE wants a rank such as "first, second, third"; decimal weights summing to 1 are meaningless in this method and produce the wrong result.
A second mistake is reading the total-score gap as a percentage or a ratio. The score is a sum of ranks, not a distance; an interpretation such as "the alternative with the lower score is such-and-such per cent better" cannot be made. A third mistake is leaving the δ threshold at a default without ever considering it; yet this threshold determines whether two alternatives are genuinely distinguishable or should be deemed incomparable, and the report must explain this choice.
The governing principle is this:
The order ORESTE produces is only a summary of the rank information in the input; it carries no claim about numerical magnitude, and an ORESTE ranking presented without explaining the δ threshold is an incomplete report.
Cases
Each case opens with a decision table, describes in words what the method does to it, and shows how to read the result.
1. Archiving: Choosing an institutional digital archive system
An institution's archive unit will choose among three digital storage systems. Three criteria have been set: data-integrity score, access-speed score and annual maintenance-load score; the first two are measured on a scale of 1 to 5, and the third is on the same scale but is "lower is better." The unit has ranked data integrity as the most important criterion, access speed second, and maintenance load least important. The δ threshold is set at 0.15.
| System | Data-integrity score | Access-speed score | Annual maintenance-load score |
|---|---|---|---|
| A1 | 3 | 5 | 4 |
| A2 | 5 | 3 | 2 |
| A3 | 4 | 4 | 3 |
| Direction | higher is better | higher is better | lower is better |
| Importance rank | 1 (most important) | 2 | 3 (least important) |
The method first ranks the systems in each column. On data integrity, A2 is first, A3 second, A1 third. On access speed, A1 is first, A3 second, A2 third. On maintenance load (lower is better), A2 is first, A3 second, A1 third. Each system's rank on each criterion is then combined with that criterion's importance rank, and all these combined positions are reordered into a single global rank. Finally, each system's global rank values across the criteria are summed.
| System | Total score | Order |
|---|---|---|
| A2 | 13.5 | 1 |
| A3 | 15.0 | 2 |
| A1 | 16.5 | 3 |
The result reads as follows. A2 is strong on the two most important criteria, a good balance of data integrity and access speed, particularly on maintenance load, and comes out ahead with the lowest total score. A1, despite being first on access speed, comes last on data integrity, the most important criterion, and this pushes it to last place. A3 is first on no criterion but also last on none; this balanced position keeps it in second place.
The unit hesitates here. The gap between A2 (13.5) and A3 (15.0) is 1.5 points; this is not a distance but a sum of ranks, and it says nothing about the size of the real performance difference. Had the δ threshold been set larger than 0.15, ORESTE might have deemed these two systems incomparable or indifferent. The unit must justify its choice of δ and state in the report that the gap between the two systems is not as certain as the claim of coming out ahead suggests.
In the report: "With the ranking information given, A2 is furthest ahead in the global rank (total score 13.5); the gap to A3 (15.0) is a rank difference, not a distance, and depending on the choice of δ threshold these two systems may also be deemed incomparable."
Source: Roubens (1982) provides the method's foundation; however, this 3×3 example is not the paper's own case study, it is a validation example DecisionMind built following the Pastijn and Leysen (1989) procedure.
2. Livestock Farming: Choosing a vaccine supplier
A livestock cooperative will choose among three vaccine suppliers. Three criteria have been set: cold-chain reliability rank, delivery-time rank and unit-price rank. Rather than scoring the suppliers numerically, the cooperative's members preferred to rank them on each criterion by "which is ahead of which"; cold-chain reliability was deemed the most important criterion, price the least.
The method ranks the suppliers on each criterion, combines these ranks with the criteria's importance ranks, and produces a total score through a global rank. Suppose the result places first the supplier most reliable on cold chain but middling on price; the cheapest supplier, being weak on cold chain, comes third.
The cooperative hesitates here: because the ranking uses only "who is ahead of whom" information, it does not show whether the reliability gap between the first and second suppliers is small or large. The members must discuss separately whether this gap matters; if numerical measurement is possible, gathering exact data would be sounder than this discussion.
In the report: "With the ranking information, the first supplier comes out ahead; but because ORESTE uses only rank, it says nothing about the size of this advantage, and the practical importance of the reliability gap should be assessed separately before the decision."
3. Public Transport: Choosing a new bus-route corridor
A municipality will decide among three route options. Three criteria have been set: passenger-potential rank, suitability-to-existing-road rank and cost rank. Council members ranked the routes not by exact figures but by observations from the field; passenger potential is the most important criterion.
The method combines the ranks and orders the routes by total score. Suppose the route with the highest passenger potential comes out first despite having the highest cost; the route best suited to the existing road but with low passenger potential comes last.
The council hesitates here: the passenger-potential estimate was made from field observation and is not an exact count. If the reliability of this estimate, the ranking's most important criterion, is contested, the order ORESTE produces carries that same uncertainty; the method does not reduce the uncertainty in the input, it only converts it into rank.
In the report: "Based on the ranking information built from field observation, the first route comes out ahead; the reliability of this result depends on how accurately the passenger-potential ranking was drawn from the field observation."
4. What Not to Do
Had the importance ranks in the same archive table been entered as decimal weights summing to 1 (0.5, 0.3, 0.2) instead of "1, 2, 3," this would have been an error; ORESTE expects rank, not weight, and decimal figures produce the wrong combined positions. The second error is converting the 3-point gap between A2 and A1 (13.5 against 16.5) into a percentage, saying "A2 is twenty per cent better than A1"; the total score is a sum of ranks, not a distance. The third error is presenting the 1.5-point gap between A2 and A3 as a definite advantage without ever stating the δ threshold; depending on the choice of δ, this gap may also be deemed incomparable, and the report must explain this.
Sources
For the formulas behind each step, the intermediate tables and citation formats (BibTeX, RIS, APA), see the DecisionMind method page: decisionmind.app/library/oreste
Roubens, M. (1982). Preference relations on actions and criteria in multicriteria decision making. European Journal of Operational Research, 10, 51–55. DOI: 10.1016/0377-2217(82)90131-X
Pastijn, H., & Leysen, J. (1989). Constructing an outranking relation with ORESTE. Mathematical and Computer Modelling, 12(10–11), 1255–1268. DOI: 10.1016/0895-7177(89)90367-1
Bourguignon, B., & Massart, D. L. (1994). The Oreste method for multicriteria decision making in experimental chemistry. Chemometrics and Intelligent Laboratory Systems, 22, 241–256. DOI: 10.1016/0169-7439(93)E0083-G