A contradiction matrix is often used in problem-solving methodologies like TRIZ (Theory of Inventive Problem Solving), primarily to address conflicting requirements in design or engineering processes. When developing or improving a system, contradictory requirements may arise, for example, improving a product’s durability might increase its weight, which may be undesirable.

How a Contradiction Matrix Works

In the context of TRIZ, a contradiction matrix provides a structured way to resolve these conflicts by:

  1. Listing Parameters: It identifies pairs of contradictory parameters in a system. TRIZ uses 39 standard parameters, such as weight, strength, speed, reliability, etc.
  2. Mapping Solutions: For each pair of conflicting parameters, the matrix suggests inventive principles (from 40 standard principles in TRIZ) that can resolve the conflict.
  3. Guiding Problem Solvers: By cross-referencing the two conflicting parameters in the matrix, problem solvers can find suggested principles or strategies to try that might balance or overcome the contradiction.

Example Structure of a TRIZ Contradiction Matrix

Imagine a row and column list of the 39 parameters. The cell where the two parameters intersect indicates potential principles to apply. For instance, if “Strength” and “Weight” intersect, principles like “Segmentation” or “Asymmetry” might be suggested to help reduce weight without compromising strength.

Applications of a Contradiction Matrix

This matrix is especially powerful because it suggests creative, non-obvious solutions by encouraging you to explore principles that have solved similar issues in other contexts.

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