Symmetric difference of A and B sets is a set of elements which are in either of the sets and not in their intersection. Intersection of A and B sets is a set including all and only those elements that in both sets A and B at the same time.ĭifference of A and B sets is a set of all and only those elements B that are not A. Union of A and B sets is a set including all the elements that are in at least one of the sets A, B. Set operations are considered to get new sets based on existing ones. The overlapping area or intersection represents the set of all wooden chairs.Īs a result we have new subsets and can perform a number of set operations:.Draw the second circle inside the rectangle that will overlap the first one and indicate the other subset.Draw 1 circle inside this rectangle to show some specific subset.Draw a rectangle to indicate an universal set.Basics of Venn diagramsĪs mentioned above Venn diagrams are used to define all possible relations between the sets. Edward's Venn diagramsĮdward’s Venn diagram represents higher number of sets using central symmetry and displaying sets as gears. Peirce diagram is extension of Venn diagrams that includes additional information as well as information on probabilities and relations. Karnaugh maps are considered as re-built truth table of the function. It represents operation of grouping and elimination of variables within groups. Karnaugh map is a method to simplify Boolean algebra expressions. They look like Venn diagrams but don't represent sets. Johnston diagrams are used to represent statements of propositional logic, such as “Not A or B is true” and visualize truth tables. Venn diagram types Euler diagramsĮuler diagrams are analogous to Venn diagrams but they don't obligatory illustrate all possible relations between the sets or events. Venn diagram shows all possible relations between sets or events from some set. Venn Diagrams is a common name of the variety of visualization methods and ways of graphical representation that are actively used in various ranges of science and mathematics: set theory, theory of probability, logic, statistics and information science.

Set venn diagram generator