Mastering Complexity: The Triz Problem Solving Matrix
The Triz (Teoria Resolusi Inovasi, or Theory of Inventive Problem Solving) problem solving matrix, developed by Genrich Altshuller and his colleagues, is a powerful tool for innovative problem-solving. It's designed to help individuals and teams overcome complex challenges by providing a structured approach to ideation and innovation. This article delves into the intricacies of the Triz problem solving matrix, its application, and its benefits.
Understanding the Triz Problem Solving Matrix
The Triz matrix is a 39x39 grid, with each cell representing a potential solution to a problem. The matrix is divided into four quadrants, each corresponding to a different type of problem:
- Ideal Final Result (IFR): Problems where the desired outcome is clear, but the path to achieve it is uncertain.
- Physical Contradiction: Problems involving physical contradictions, such as needing to increase something while simultaneously decreasing it.
- Physical Contradiction in Time: Problems where the desired state changes over time, creating a contradiction.
- Inaccessible Environment: Problems where the desired state is difficult to access or achieve due to external conditions.
Navigating the Matrix
Each row and column of the matrix represents an inventive principle, a fundamental way to transform a system to achieve a desired outcome. The intersection of a row and column provides a specific solution, or a combination of inventive principles, to address the problem in that cell.

Inventive Principles: The Building Blocks of Triz
The 40 inventive principles are the core of the Triz problem solving matrix. They are universal patterns of innovation that can be applied across various fields. Some of the most powerful principles include:
- Segmentation: Dividing an object into smaller parts to access or change it.
- Multi-functionality: Combining functions to reduce the number of components or operations.
- Dynamic Properties: Changing the properties of an object to achieve the desired outcome.
Applying the Triz Problem Solving Matrix
To use the Triz problem solving matrix, follow these steps:
- Identify the problem and determine which quadrant it belongs to.
- Find the corresponding cell in the matrix.
- Review the inventive principles at the intersection of the row and column.
- Adapt and apply these principles to generate potential solutions.
- Evaluate and refine the solutions to find the most effective one.
Benefits of the Triz Problem Solving Matrix
The Triz problem solving matrix offers numerous benefits, including:

- Systematic approach to innovation, ensuring that all potential solutions are considered.
- Encourages creative thinking and helps overcome mental barriers.
- Applicable across various fields and industries.
- Reduces the time and resources required to find effective solutions.
Case Studies: Triz in Action
The Triz problem solving matrix has been successfully applied in numerous industries, from engineering and manufacturing to marketing and business strategy. For example, it has been used to:
- Develop new product designs, such as the creation of the first lightweight, foldable bicycle.
- Improve business processes, like streamlining supply chain management.
- Create innovative marketing strategies, such as the "Share a Coke" campaign.
The Triz problem solving matrix is a versatile and powerful tool for innovative problem-solving. By understanding and applying the matrix, individuals and teams can overcome complex challenges, drive innovation, and achieve remarkable results.






















