Methods · Ranking
SMART (Simple Multi-Attribute Rating Technique)
SMART places each criterion's worst and best end directly onto a 0-to-1 scale, then sums these using importance weights supplied by the decision-maker; it is a simple multi-attribute rating method.
Base method's data type: Classical
What Is the Method?
SMART is the simplest application of multi-attribute utility theory, ranking alternatives by a single utility score once you hold a decision table filled with numbers. Its output is a utility score between 0 and 1 for every alternative and a descending ranking based on it. Edwards introduced it in 1977. Rather than estimating complex utility functions, the method proposes a simple linear scaling the decision-maker can understand directly, together with weight derivation through ratio rating; it was designed for use in social and public decisions. It produces weights, but these rest on externally supplied importance scores; it does not derive weights from the data itself.
The Philosophy Behind It
SMART's underlying idea is simple. Rather than asking the decision-maker to estimate a complex utility function, it asks two simple questions: "what is the worst and best case on this criterion, and where does every value in between sit relative to these two ends?" and "what is the relative importance between the criteria?" The method places every criterion's value linearly onto the range 0 to 1 within its own worst-to-best range (this is the default crisp scale). It determines importance directly through ratio rating: the least important criterion is given a low baseline score, the others are scaled up relative to it, and the result is then normalised to sum to 1. These two simple steps turn the decision-maker's intuitive judgement directly into numbers.
Its philosophical consequence places it in the same family as TOPSIS and SAW. SMART is compensatory; a weakness on one criterion can be closed by strength on another, and the final score is a weighted sum. Its difference lies not in the normalisation but in the logic of weight derivation. SMART obtains its weights not through pairwise comparison, as AHP does, but directly through ratio rating. The decision-maker is asked not "how many times more important is this criterion than that one?" but "how many points would you give this criterion?"
How It Works
The method proceeds through four steps.
First, determining each criterion's end points. For a benefit criterion, the lowest value in the table becomes the "worst" end and the highest becomes the "best"; for a cost criterion, this direction is reversed.
Second, direct scoring (rescaling). The method places the value in every cell linearly onto the range 0 (worst) to 1 (best) between its own criterion's worst and best end. In DecisionMind's classical SMART, this scaling is linear (crisp); the decision-maker may define a non-linear curve if desired, but the default is fixed.
Third, deriving the importance weights. The decision-maker gives every criterion a relative importance score; for instance, the least important criterion is given a low baseline score, and the others are scaled up relative to it. The method normalises these scores into weights summing to 1.
Fourth, the final score. The method multiplies every alternative's criterion scores by their own weight and sums them; it ranks the alternatives from the highest total score to the lowest.
The formulas behind each step, the intermediate tables and the citation formats are given on the DecisionMind method page; this card carries no formulas. (Note: Edwards himself, in later work, also defined two variants, SMARTS, which simplifies ratio rating further, and SMARTER, which differentiates the extreme weighting; DecisionMind's SMART engine uses the classical ratio-rating form.)
How to Read the Output
The utility score says how well an alternative stands relative to these criterion ranges and the given weights, and nothing more. A score of 0.57 does not mean "57 per cent successful," only a relative position within this particular alternative set and these criterion ranges. A score of 1 does not mean "perfect" but "the best in this set on every criterion." It cannot be compared with a score from a different analysis, because each criterion's worst/best end is built from that analysis's own table.
Thus instead of writing:
"SMART found the best alternative"
the report should read:
"With these criterion ranges and these weights, the alternative with the highest utility score is this one; the score is a summary of the given weights and ranges"
Data Type and Inputs
Classical SMART works with crisp data. Alongside the base method, DecisionMind offers two extensions (FUZZY-SMART, SMART-WEIGHT); there are three SMART members in total. You need alternatives in rows, criteria in columns, one number per cell, no empty cells; direction information for every criterion; and importance scores given directly by the decision-maker. SMART converts these into weights; it does not generate the importance scores themselves, which are a subjective input. A minimum of two alternatives and two criteria is required; three to twelve criteria work comfortably. As the number of criteria grows, it becomes harder for the decision-maker to give each one a consistent ratio score.
When to Use It, When Not To
SMART is a suitable choice if the decision-maker can score the criteria's importance directly and quickly, without taking on AHP's pairwise-comparison burden, and the criteria are numerical with a fully populated table. It is practical for decisions with few criteria (three to six), under time pressure, resting on the judgement of a single decision-maker or a small group.
There are two situations where it should not be used. The first follows from its philosophy: if no compromise is acceptable on one criterion, SMART is unsuitable. The second follows from scale: if there are many criteria, direct ratio scoring becomes inconsistent; in that case, AHP's pairwise comparison or BWM's limited comparison burden gives more reliable weights.
Few criteria, fast direct scoring, compensation accepted → SMART
Many criteria, consistency checking through pairwise comparison wanted → AHP
Low comparison burden, comparison only against the best/worst criterion → BWM
Comparing ranking methods rather than weights is wanted → TOPSIS, SAW, VIKOR
No compromise on one criterion, sub-threshold alternatives must be screened out → screening first, then ranking
Strengths
SMART's greatest strength is its simplicity and transparency: both the scaling (direct 0-to-1 placement) and the weighting (direct ratio scoring) are operations the decision-maker can easily understand and check; neither AHP's pairwise comparison matrix nor its consistency check is needed. It is applied quickly with a small number of criteria, and the result can be followed step by step on the table. Edwards and Barron's (1994) later work argued that this simplicity can, in practice, produce decisions similar to those from more complex utility functions.
Weaknesses
Its limitations stem from its simplicity. First, direct ratio scoring is subjective and carries no consistency check; unlike AHP, the method does not itself catch whether the decision-maker has given contradictory scores. Second, Zanakis, Solomon, Wishart and Dublish's (1998) comparative simulation study produced an important finding: simple weighted-sum methods (SMART included) can produce different rankings from more complex methods such as AHP under certain data conditions. This shows that the choice of method can affect the result. Third, as the number of criteria grows, the consistency of ratio scoring falls. Fourth, it carries the same full-compensation assumption as TOPSIS. Fifth, the linear-scaling assumption is not always realistic; on some criteria, utility does not rise linearly, in which case variants such as SMARTS/SMARTER or a non-linear scaling are needed.
Common Mistakes
The most common mistake is giving importance scores without justification or at random; SMART's simplicity makes it easy to set weights carelessly, and this turns into a weakness. A second mistake is marking a criterion's direction (higher/lower is better) incorrectly; the scaling is then built the wrong way round and the ranking is reversed. A third is reading the utility score as a percentage or an absolute measure of success and comparing scores across different analyses. A fourth is trying to give direct ratio scores to a large number of criteria; at that point one should switch to AHP or BWM. A fifth is assuming linear scaling holds for every criterion; on a criterion with diminishing marginal utility, this assumption gives a misleading result.
The governing principle is this:
A SMART score is a direct summary of the criterion ranges and importance scores the decision-maker supplied; if these inputs are subjective and contested, the score is contested too, and the report must show this.
Cases
Each case opens with a decision table, describes in words what the method does to it, and shows how to read the result. The first case is DecisionMind's validation example; the figures are taken from the manifest and the engine reproduces the same result. The remaining cases are illustrative constructions.
1. Illustrative example: Three alternatives, three criteria (DecisionMind validation example)
This example is not a literature case; it is a small table built to make Edwards's (1977) additive SMART value model traceable by hand, used to validate DecisionMind's SMART engine. Three alternatives are evaluated on three criteria; all three criteria are "higher is better."
| Alternative | C1 | C2 | C3 |
|---|---|---|---|
| A1 | 3 | 2 | 5 |
| A2 | 1 | 5 | 4 |
| A3 | 4 | 3 | 3 |
| Direction | higher is better | higher is better | higher is better |
| Weight | 0.40 | 0.30 | 0.30 |
The method places every column onto the range 0-1 between its own lowest and highest value, then multiplies each alternative's three scores by the given weights and sums them.
| Alternative | Utility score | Rank |
|---|---|---|
| A1 | 0.5667 | 1 |
| A3 | 0.5000 | 2 |
| A2 | 0.4500 | 3 |
The result reads as follows. A1 ranks first because it holds the best value on C3 and a middling position on C1, despite its worst position on C2. A3 holds the best value on C1 but the worst on C3; these two extremes largely offset one another, leaving it in second place. A2, despite holding the best value on C2, ranks last because it is weak on C1 and C3.
The decision-maker hesitates here: if C1's weight is raised from 0.40 to 0.45 and C3's weight lowered from 0.30 to 0.25 (with C2 held fixed at 0.30), A1 and A3 come out exactly equal (both at 0.55); once the weight passes this point, A3 moves ahead (calculated independently). So A1's lead rests on the relatively high weight given to C3 and can change with a small weight shift.
In the report: "With the weights given, A1 has the highest utility score (0.5667); this ranking turns in A3's favour once C1's weight rises above 0.45 with C3's weight correspondingly lowered, so the ranking is sensitive to the relative weight of these two criteria."
Source: This example is DecisionMind's SMART engine validation fixture. Although the method's founding source is Edwards (1977), the manifest's own record marks this table as a "synthetic, closed-form" validation example and states explicitly that the gold values are produced not from an independent literature source but from this repository's own corrected engine. These are not the paper's own figures; this is an illustrative example.
2. Human resources: Candidate assessment for a job application
A company's HR unit will choose among three candidates for an open position (fictional, no real person). Three criteria apply: technical interview score, years of relevant work experience, and reference assessment score; all three are "higher is better." The hiring committee has given the technical interview score the highest importance through ratio rating.
The method places every criterion onto the range 0-1 between its own lowest and highest candidate value, then multiplies by the committee's weights and sums. Suppose the result places first the candidate with the highest technical score but the least experience; the high weight given to the technical score offset the low experience.
The committee hesitates here: the ranking may change if the experience weight is raised. Also, if committee members gave their importance scores separately (one saying 90 for the technical score, another saying 60), how these scores are to be combined (an average, or a discussed consensus) is a separate decision outside SMART and should be explained in the report.
In the report: "With the weights given, the candidate with the highest technical interview score ranks first; this ranking may change if the experience weight is raised, and the committee's method for reconciling its importance scores should be documented separately."
3. Sport: Assessing promotion from the youth academy to the first team
A sports club's academy director will assess three young player candidates for promotion to the first team (fictional, no real person). Three criteria apply: physical test score (higher is better), match performance score (higher is better), and injury-history risk score (lower is better). The director has given match performance the highest importance.
The method places every criterion onto the range 0-1 (reversing the direction of the risk score) and multiplies by the weights and sums. Suppose the result places second the player with the highest match performance but also a high injury risk, and first the player with low risk and middling performance.
The director hesitates here: the injury-risk criterion is scaled linearly, meaning each unit increase from low risk to high risk counts with equal weight. This is debatable here. If a sudden, disproportionate penalty above a certain risk threshold is thought necessary, a non-linear scaling (of the kind SMARTER addresses) should be considered instead of linear SMART.
In the report: "With the weights given and a linear risk scaling, the player with the lowest injury risk ranks first; the linear scaling of the risk criterion is an assumption, and the result should be reconsidered if a disproportionate penalty is expected in the high-risk region."
4. What Not to Do
Had C2 been marked "lower is better" in the same validation table, the scaling would have been built the wrong way round, turning A2's strength on C2 into a weakness and making the ranking meaningless. A second error is using the decision-makers' importance scores directly as weights without normalising them; the weights must sum to 1. A third error is reporting A1's score of 0.5667 as "a candidate 57 per cent successful"; the score only ranks these three alternatives relative to one another.
Extensions: for different data types
SMART has 2 extensions in the library. Same decision logic, different data type: if your data is not a classical number, read the relevant data type card, then open that member.
Sources
For the formulas behind each step, the intermediate tables and citation formats, see the DecisionMind method page: decisionmind.app/library/smart
Edwards, W. (1977). How to use multiattribute utility measurement for social decisionmaking. IEEE Transactions on Systems, Man, and Cybernetics, 7(5), 326–340. DOI: 10.1109/TSMC.1977.4309720
Edwards, W., & Barron, F. H. (1994). SMARTS and SMARTER: Improved simple methods for multiattribute utility measurement. Organizational Behavior and Human Decision Processes, 60(3), 306–325. DOI: 10.1006/obhd.1994.1087
Zanakis, S. H., Solomon, A., Wishart, N., & Dublish, S. (1998). Multi-attribute decision making: A simulation comparison of select methods. European Journal of Operational Research, 107(3), 507–529. DOI: 10.1016/s0377-2217(97)00147-1
Erdebilli, B., & Bahreini, P. (2026). SMART: Simple multi-attribute rating technique for multi-attribute decision-making. In Encyclopedia of Multi-Attribute Decision Making (MADM) (pp. 169–180). Elsevier. DOI: 10.1016/b978-0-443-33275-3.00039-7