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What is a Problem-Solution Matrix?

Published in Decision Making Tools 3 mins read

A problem-solution matrix, often known as a decision matrix or problem-solving matrix, is a powerful visualization tool used to systematically evaluate and compare different potential solutions to a problem.

Understanding the Problem-Solution Matrix

At its core, a problem-solution matrix helps teams make informed decisions by providing a structured way to assess options. As the reference states, a decision matrix, also known as a problem-solving matrix, is a visualisation tool containing a set of criteria and a weight assigned to each of them, allowing teams to compare various solutions and choose the most appropriate one.

This means the matrix sets up specific standards or criteria that matter most for solving the problem. Each criterion is given a level of importance (a weight). Then, each potential solution is scored against these weighted criteria.

How it Works

Creating and using a problem-solution matrix typically involves several steps:

  1. Identify the Problem: Clearly define the problem you need to solve.
  2. Brainstorm Solutions: Generate a list of possible solutions to the problem.
  3. Define Evaluation Criteria: Determine the factors that are important for a successful solution (e.g., cost, feasibility, impact, time to implement, resources required).
  4. Assign Weights: Give each criterion a weight based on its importance. A higher weight means that criterion is more critical. Weights often add up to 10 or 100.
  5. Score Solutions: Evaluate each potential solution against every criterion. Assign a score (e.g., 1-5 or 1-10) indicating how well the solution meets that criterion.
  6. Calculate Weighted Scores: Multiply the score for each criterion by its weight and sum these weighted scores for each solution.
  7. Compare and Select: The solution with the highest total weighted score is typically the most appropriate choice based on the defined criteria and their importance.

Example Structure (Conceptual)

While the exact layout can vary, a simple problem-solution matrix might look something like this conceptually:

Criteria Weight (e.g., 1-5) Solution A (Score 1-10) Weighted Score (Weight * Score) Solution B (Score 1-10) Weighted Score (Weight * Score)
Cost 5 4 20 8 40
Ease of Implementation 4 7 28 5 20
Potential Impact 3 9 27 6 18
Total Score 75 78

Note: This is a simplified example. Real-world matrices can be more complex.

In this simple example, Solution B might be preferred as it has a slightly higher total weighted score, even though Solution A scored higher on potential impact, the matrix prioritized cost and ease of implementation more heavily.

Benefits of Using the Matrix

  • Objectivity: Reduces bias by using predefined criteria.
  • Clarity: Visualizes the comparison process.
  • Collaboration: Provides a framework for team discussion and consensus.
  • Documentation: Creates a record of the decision-making process.
  • Improved Outcomes: Helps select the solution best aligned with goals and constraints.

By using a problem-solution matrix, teams can move beyond subjective opinions and make decisions grounded in a systematic evaluation of options against important factors.

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