Multi-Criteria Decision Matrix

Multi-Criteria Decision Matrix problems present multiple options evaluated against several criteria with different weights. You must calculate weighted scores to determine the best option. These problems test systematic evaluation and quantitative decision-making skills.

10Worksheets
200+Practice Questions
MediumDifficulty
2-3 hoursHours to Master

Introduction to Multi-Criteria Decision Matrix

Multi-Criteria Decision Matrix problems present multiple options evaluated against several criteria with different weights. You must calculate weighted scores to determine the best option. These problems test systematic evaluation and quantitative decision-making skills.

Prerequisites

Percentage and weight calculations Basic arithmetic operations Comparative analysis skills Data interpretation from tables
Why This Matters: Multi-Criteria Decision Matrix problems appear in 1-2 questions in Banking PO and SSC CGL exams. They test analytical evaluation and weighted scoring.

How to Solve Multi-Criteria Decision Matrix Problems

1

Step 1: Identify all decision options and evaluation criteria

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Step 2: Note the weight (importance) of each criterion (sum usually = 100% or 1)

3

Step 3: Identify the score for each option on each criterion

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Step 4: For each option, calculate weighted score = Σ (criterion weight × criterion score)

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Step 5: Compare the total weighted scores across options

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Step 6: The option with the highest weighted score is the best choice

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Step 7: Verify calculations and consider qualitative factors

Pro Strategy: Always multiply each score by its weight before summing. Higher weights on more important criteria mean they have greater influence on the final score. Double-check arithmetic as small errors can change the outcome.

Example Problem

Example: Select a software vendor. Criteria: Reliability (40%), Features (35%), Cost (25%). Vendor A scores: 9/8/7. Vendor B: 7/9/8. Vendor C: 8/7/9. Which is best? Solution: Step 1: Options: A, B, C; Criteria: Reliability(0.4), Features(0.35), Cost(0.25) Step 2: Vendor A = (9×0.4)+(8×0.35)+(7×0.25) = 3.6 + 2.8 + 1.75 = 8.15 Step 3: Vendor B = (7×0.4)+(9×0.35)+(8×0.25) = 2.8 + 3.15 + 2.0 = 7.95 Step 4: Vendor C = (8×0.4)+(7×0.35)+(9×0.25) = 3.2 + 2.45 + 2.25 = 7.90 Step 5: Highest = Vendor A with 8.15 Answer: Vendor A

Pro Tips & Tricks

  • Weights usually sum to 1 (or 100%) - verify before calculating
  • Convert percentage weights to decimals for easier calculation (40% = 0.4)
  • Create a table with rows as options and columns as criteria for clarity
  • Calculate partial sums to verify accuracy
  • Scores are typically on a scale (e.g., 1-10, 1-5, or 0-100)
  • The highest weighted score indicates the mathematically optimal choice

Shortcut Methods to Solve Faster

Weighted score = Σ(weight_i × score_i)
For quick comparison, focus on highest-weighted criteria first
If one option scores highest on all criteria, it's dominant
Use spreadsheet-style mental calculation for complex matrices

Common Mistakes to Avoid

Forgetting to convert percentages to decimals
Adding raw scores instead of weighted scores
Misaligning weights with corresponding scores
Double-counting or missing criteria

Exam Importance

Multi-Criteria Decision Matrix is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Multi-Criteria Decision Matrix?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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