Both diagrams are based on the set theory. The main difference between Venn and Euler diagrams is that a Venn diagram shows all possible logical relationships between sets, while an Euler diagram only shows existing relationships. In other words, in a Venn diagram you have to depict each intersection between each set, even if the intersection is empty, while in an Euler diagram you only depict intersections that are not empty.
Suppose we have three sets:
A = {1, 3, 5, 7};
B = {2, 4, 6, 8};
C = {5}.
In the Venn diagram, we depicted all intersections, even though sets A and B, and B and C have no common numbers, and set C lacks numbers excluded from A and B.
Unlike the Venn diagram, Euler diagram only shows intersections that are not empty.
A good explanation of the topic is also provided here.
Suppose we have three sets:
A = {1, 3, 5, 7};
B = {2, 4, 6, 8};
C = {5}.
In the Venn diagram, we depicted all intersections, even though sets A and B, and B and C have no common numbers, and set C lacks numbers excluded from A and B.
Unlike the Venn diagram, Euler diagram only shows intersections that are not empty.
A good explanation of the topic is also provided here.
Venn diagrams and Euler diagrams looks very similar so it is understandable that many people find it confusing to understand the difference. Although both the diagram types rely on the set theory there are some subtle differences that makes the unique. Checkout these Euler / Venn diagrams examples to get more information.
ReplyDeleteGreat article. We've covered this with some more examples in our blog. Check out Venn vs Euler article to learn more about the differences.
ReplyDeleteMinor correction: "event if the intersection is empty" -> "even if the intersection is empty".
ReplyDeleteFixed. Thank you for the correction!
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