Scottish scientist Dr. Stuart Pugh developed a method for improvement selection called Pugh’s Controlled Convergence. More commonly known as the Pugh Matrix, it formalizes the decision-making process to help you select one or more improvement opportunities to pursue in detail.

The Pugh Matrix uses specified evaluation criteria to compare alternative improvement opportunities.

## Overview: What is the Pugh Matrix?

The Pugh Matrix is a decision-making tool to compare multiple alternatives. The steps that you will take to create your Pugh Matrix are:

1. Define your evaluation criteria. What are the most important and desired characteristics of your solution?
2. Weight your evaluation criteria as to the relative importance of each.
3. Define your different improvement alternatives and optional approaches.
4. Select a “BASELINE” from the alternatives, which will typically be your current state.
5. For each criteria, rate each alternative as better, same, or worse than your baseline. You can use a simple + for better, s for same, and – for worse.
6. Total the count of each.
8. Explore whether an even more optimal solution might exist by creating a hybrid of the best from various alternatives.

Let’s look at these in a little more detail.

### Define your evaluation criteria (usually from the Voice of the Customer and/or Voice of the Business)

1. Critical Customer Requirements (CCRs)
3. Time required for full implementation
4. The amount of your capital investment
3. Regulatory/Other
2. Safety
3. Environment
1. Political and policy constraints

1. Use a numeric scale
2. The scale you chose can be 1-5 or 1,3,9 or any other naming scheme. The exact scale that you select is not that critical since you will be ranking your alternatives in terms of relative importance.
3. You can also use a relative percentage of each criteria against a total of 100%.
4. Be sure that you discuss the ranking method with the team and the process manager so that everyone agrees on the definition.

### Define your alternative solutions and select a Baseline to compare the options to

1. Your choice of a baseline is not that critical, because all the comparisons you make will be relative.
2. Your current process is usually the best choice for a baseline. You and the team will already understand the evaluation criteria as they are applied to the baseline.

### Rate each alternative against your baseline

1. Use (+) if one of the alternatives is better in terms of the evaluation criteria.
2. Use (s) if the alternative is the same as the baseline.
3. Use (–) if the alternative is worse than the baseline.
4. You can use multiples of + or – if you believe the alternative is significantly better or worse than the baseline.

### Do the computations and determine the best idea

1. Sum the (+)s and (-)s for each improvement idea to compute the total for the + and -.
2. Multiply the (+)s and (-)s for each improvement idea by the importance rating (weights) and sum vertically to compute the weighted total for each Improvement idea.
3. Don’t worry about the actual values. They don’t mean anything. It is the relative value of each idea, not the absolute value.

Note that in our example above, Improvement 5 seems to be the best solution because of its final weighted value of 19. Take another look at the matrix and see if you can come up with a synthesized solution that would combine the pluses of the various solutions while eliminating the minuses. This could then become an alternative improvement idea. Run through the entire comparison process again and see if your proposed synthesized solution is, in fact, the best one.

## 3 benefits of the Pugh Matrix

Comparing and evaluating competing improvement ideas can be quite tedious. Using the Pugh Matrix as a first screening of ideas will allow you to narrow down your options quickly and easily — and possibly even come up with a hybrid synthesized solution.

### 1. Simple tool to evaluate and compare alternative improvement solutions

Using a table format and simple + and –, you can evaluate and compare solutions using simple arithmetic computations.

### 2. Quickly eliminates non-viable solutions

By eliminating the solutions with an overabundance of – ratings, you won’t waste time pursuing any further evaluation of that alternative.

### 3. Allows for efficient synthesizing the best from all possible alternatives

Once you’ve ranked the alternative solutions, you can create a stronger option by taking the best of each alternative while eliminating the negatives of each.

## Why is the Pugh Matrix important to understand?

All improvement initiatives eventually get to the point where you need to decide between different viable solutions. If you know how to use the Pugh Matrix, you can lean out your evaluation process.

### The Pugh Matrix drives you to identify the appropriate criteria

It’s important for you to select the desired outcomes so you can focus your improvement ideas on the correct things.

### You must understand the concept of relative weighting

All evaluation criteria are not equal in their impact of improving the process.You need to   assess the degree that you weigh each one.

### Not every solution will be a perfect one

By building a synthesized solution from the best of the alternatives, you will likely come up with your optimal improvement idea.

## An industry example of a Pugh Matrix

A hospital system was trying to decide on a new vendor for some of their critical PPE supplies. They weren’t sure whether their current vendor was the best one in the marketplace. They determined the criteria that they wanted to use to compare three other vendors with the current one. They also weighted the various criteria and ranked them against the importance of the criteria.

Using the Pugh Matrix, they decided on the vendor that most satisfied their criteria. But they didn’t stop there. They used the best of each criteria and created a new set of requirements for their RFPs going forward. Below is what their matrix looked like.

## 3 best practices when thinking about the Pugh Matrix

It is best if you use a team to do the Pugh Matrix. Here are a few tips to make the process go smoothly.

### 1. Carefully choose and agree on the evaluation criteria

Don’t use too many criteria otherwise you can slow the process down. Remember that this is a first screening and not a final in-depth analysis.

### 2. Select a rating and weighting scheme that everyone understands

Be sure that you operationally define what a plus or minus means as well as any weighting system. You can use a number format or a percent.

### 3. Look for the strengths and weaknesses

Build on the positives and evaluate what you might be able to do to turn the negatives to a positive.

What is the Pugh Matrix used for?

You can use Pugh Matrix evaluation criteria to compare alternative improvement opportunities.

Why do I want to weigh the evaluation criteria?

The evaluation criteria you choose are rarely of equal importance when assessing an improvement opportunity. It’s key to give more or less importance based on some assumption of how much the evaluation criteria will play into the final solution.

Can the Pugh Matrix be used in DFSS?

Yes. In fact, it may be better suited for DFSS than DMAIC. In a DFSS project, you want to create a design concept before diving into specifics. The Pugh Matrix can help you develop a synthesized and optimal design concept that you can refine as the process proceeds.

## Last thoughts on the Pugh Matrix

The Pugh Matrix can be used to select the best improvements from various alternatives. You first want to identify the factors that are most important to you. One improvement is selected as the baseline, and you then weigh the criteria as to their relative importance. Eliminate those improvement concepts that clearly have few positives.

Focus on the positives and eliminate or mitigate the negatives for the improvement that appears superior after the first round. You can use the Matrix results to spur another round of improvement generation.