Decision Matrix
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A decision matrix is used to describe a Multi-Criteria Decision Analysis (MCDA) problem. If in an MCDA problem, there are M alternative options and each need to be assessed on N criteria, then the decision matrix for the problem has M rows and N columns, or M × N elements, as shown in the following table. Each element, such as Xij, is either a single numerical value or a single grade, representing the performance of Alternative i on Criterion j. For example, if Alternative i is "Car i", Criterion j is "Engine Quality" assessed by five grades {Excellent, Good, Average, Below Average, Poor}, and "Car i" is assessed to be "Good" on "Engine Quality", then Xij = "Good".
| Criterion 1 | Criterion 2 | ... | Criterion N | |
|---|---|---|---|---|
| Alternative 1 | x11 | x12 | ... | x1N |
| Alternative 2 | x21 | x22 | ... | x2N |
| ... | ... | ... | Xij = Good | ... |
| Alternative M | xM1 | xM2 | ... | xMN |
