Venn diagrams and Euler diagrams look very similar so it is understandable that many people find it confusing to identify the difference. Although both the diagram types rely on the set theory there are some subtle differences that make them unique. Hopefully, this article will clear your doubts about Venn diagrams vs Euler diagrams and I will provide a few examples to make it clearer.
Venn vs Euler: The Definition
What is a Venn diagram?
In the simplest terms, a Venn diagram illustrates the logical relationship between two or more sets of items. It visually represents the differences and similarities between the two concepts.
What is an Euler diagram?
An Euler diagram is another diagram that represents sets and their relationships. It’s similar to a Venn diagram as both use circles to create the diagram. However, while a Venn diagram represents an entire set, an Euler diagram represents a part of a set. A Venn diagram shows an empty set by shading it out, whereas in an Euler diagram that area could simply be missing altogether.
What are the Differences Between a Venn Diagram and Euler Diagram?
Both sets of diagrams are based on the set theory. A Venn diagram shows all possible logical relationships between a collection of sets. But an Euler diagram only shows relationships that exist in the real world.
While Venn diagrams and Euler diagrams are both tools used to represent sets and their relationships, there are some important differences between the two.
| Feature | Venn Diagram | Euler Diagram |
| Overlap | The overlap between two or more sets is represented by a shared region in the diagram. | Can use overlapping or nested shapes to represent the relationships between sets, and may not have any shared regions at all. |
| Completeness | Designed to be complete, meaning that they show all possible relationships between sets. | Can be partial or incomplete, meaning that they may not show all possible relationships between sets. |
| Expressiveness | Limited in their expressiveness, as they can only represent set relationships in terms of union, intersection, and difference. | Can use overlapping and nested shapes to represent a wider range of relationships and dependencies between sets. |
| Complexity | Can become complex and difficult to read when representing relationships between more than three sets. | Can be designed to handle more complex relationships and can be easier to interpret in these cases. |
In general, Venn diagrams are ideal to visualize simple set relationships and can be useful for teaching basic concepts in set theory. However, Euler diagrams are more flexible and versatile, therefore they can be used to visualize a wider range of relationships between sets. This makes them useful for more complex situations and applications.
Venn Diagrams vs Euler Diagrams Examples
Let’s start with a very simple example. Let’s consider Animals superset with mammals and birds as subsets. A venn diagram shows an intersection between the two sets even though that possibility doesn’t exist in the real world. Euler diagram, on the other hand, doesn’t show an intersection.
Now let’s take a look at a bit more complicated example involving a pack of cards. Again it is important to keep in mind the difference between the two diagram types, all possible combinations vs real-world combinations. Let’s take cards as the superset and black cards, red cards and diamonds as the subsets.
As the above example shows, Venn diagrams show four intersections that don’t have any data because it should show all possible combinations.
There are various methods to convert Venn diagrams to Euler diagrams and vice versa. Check out this great wiki article about Euler diagrams which explains some methods you can use to convert Venn diagrams to Euler diagrams. I hope the above examples helped you clear your doubts about Venn diagrams vs Euler diagrams. If you have any questions feel free to ask in the comments section.
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Hello sir having a doubt pls explain it for me....stmt:some A are B,All B are C....CON:All A being C is the possibility........