Made with
ConceptDraw
DIAGRAM 14

Multi Layer Venn Diagram.
Venn Diagram Example

A set is one of the key concepts of mathematics. The concept of the set is usually taken as one of the axiomatic concepts, that is, it can not be reduced to other concepts, and therefore has no definition. However, you can give a description of the set, as a collection of different elements, perceived as a whole.

Venn diagram shows all the possible relationships between sets or events of a certain family.

If element X belongs to a set M that is denoted by X ∈ M, and non-membership - X ∉ M. If the sets A and B are composed of the same elements, it is said that they are equal: A = B. Otherwise, the A and B sets are not equal (is denoted by A ≠ B). The set A is called a subset of the set B (denoted A ⊆ B), if every element of the set A is contained in the set B. In this case we also may say that B comprises the A or is a superset of A (denoted by B ⊇ A). The set A is called a proper subset of B (denoted A ⊂ B), if A ⊆ B and A ≠ B, i.e. B has elements that are not contained in A.

A set containing a finite number of elements is called finite, otherwise - infinite. The number of elements of a finite set M is called its power.

The set which doesn’t contain any elements is called empty (denoted by ∅). By definition, ∅ is equal to zero. It is believed that the empty set is a subset of any set. The basic operations on sets are union, intersection, difference and addition.

Union of sets A and B (denoted by AUB) is a set of elements, each of which belongs to either A or B. Thus, a random element X ϵ АUВ if and only if either X ϵ A, and X ϵ B.

Intersection of sets A and B (denoted by A∩B) is the set consisting of all those and only those elements which belong to both set A and set B.

Difference between the sets A and B (denoted by A B) is the set of all those and only those elements of A that are not contained in B.

A logical complement of A (denoted Ā or ¬A) is the set of all those elements that do not belong to the set A.

This sample was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the Business Diagrams Solution from the Management area of ConceptDraw Solution Park.

This example shows the radially-symmetrical 5 set Venn Diagram. The Venn Diagrams visualize all possible logical relations between several sets and are widely used in mathematics, logic, statistics, marketing, sociology, philosophy, etc.

Multi Layer Venn Diagram. <br>Venn Diagram Example *

Example 1. Multi Layer Venn Diagram

Using the ready-to-use predesigned objects, samples and templates from the Business Diagrams Solution for ConceptDraw DIAGRAM you can create your own professional-looking Venn Diagrams quick and easy.

The Venn Diagrams produced with ConceptDraw DIAGRAM are vector graphic documents and are available for reviewing, modifying, and converting to a variety of formats (image, HTML, PDF file, MS PowerPoint Presentation, Adobe Flash or MS Visio).




See also Samples:






TEN RELATED HOW TO's:

Onion Diagram as Stakeholder Mapping Tool →

Stakeholders are the groups of people or organizations whose contribution matters to the organization's success, this can be labour participation, financial participation, dissemination of information about organization, etc. So, the employees of the company, its suppliers, customers, media, public organizations, state authorities, all they are stakeholders of the company. ConceptDraw DIAGRAM diagramming and vector drawing software extended with Stakeholder Onion Diagrams Solution from the Management Area of ConceptDraw Solution Park is a powerful stakeholder mapping tool which allows easy create Stakeholder Onion diagrams and maps depicting the layers of a project, relationships of stakeholders to a project goal, and relationships between stakeholders.Onion Diagram as Stakeholder Mapping Tool
Picture: Onion Diagram as Stakeholder Mapping Tool
Related Solution:

Onion Diagram Templates →

The Onion Diagram is a type of circular diagram which consists of the core circle and concentric circles that look like the cross sections of onion. The key value of the Onion Diagram is to visually demonstrate the relationships that lead to a successful final product or deliverable. Design of Onion Diagrams and Stakeholder Onions Diagrams is a complex process, but ConceptDraw DIAGRAM diagramming and vector drawing software makes it easier thanks to the Stakeholder Onion Diagrams Solution from the Management Area of ConceptDraw Solution Park, and the set of included libraries and Onion Diagram templates.Onion Diagram Templates *
Picture: Onion Diagram Templates
Related Solution:

Pyramid Diagram →

The DIKW Pyramid refers loosely to a class of models for representing purported structural and/or functional relationships between data, information, knowledge, and wisdom.Pyramid Diagram *
Picture: Pyramid Diagram
Related Solution:

Stakeholder Onion Diagrams →

The Stakeholder Onion Diagram is a popular and widely used way to view the relationships of stakeholders to a project goal. The Onion Diagram focuses on the project goal, most of other diagram styles focus on the project, stakeholders, and timeline. This difference favorably distinguishes and separates the Onion Diagram from other types of diagrams. Design fast and easy Stakeholder Onion Diagrams of any complexity in ConceptDraw DIAGRAM diagramming and vector drawing software using the powerful tools of Stakeholder Onion Diagrams Solution from the Management Area of ConceptDraw Solution Park.Stakeholder Onion Diagrams *
Picture: Stakeholder Onion Diagrams
Related Solution:

Process Flowchart →

When trying to figure out the nature of the problems occurring within a project, there are many ways to develop such understanding. One of the most common ways to document processes for further improvement is to draw a process flowchart, which depicts the activities of the process arranged in sequential order — this is business process management. ConceptDraw DIAGRAM is business process mapping software with impressive range of productivity features for business process management and classic project management. This business process management software is helpful for many purposes from different payment processes, or manufacturing processes to chemical processes. Business process mapping flowcharts helps clarify the actual workflow of different people engaged in the same process. This samples were made with ConceptDraw DIAGRAM — business process mapping software for flowcharting and used as classic visio alternative because its briefly named "visio for mac" and for windows, this sort of software named the business process management tools. This flowchart diagram shows a process flow of project management. The diagram that is presented here depicts the project life cycle that is basic for the most of project management methods. Breaking a project into phases allows to track it in the proper manner. Through separation on phases, the total workflow of a project is divided into some foreseeable components, thus making it easier to follow the project status. A project life cycle commonly includes: initiation, definition, design, development and implementation phases. Distinguished method to show parallel and interdependent processes, as well as project life cycle relationships. A flowchart diagram is often used as visual guide to project. For instance, it used by marketing project management software for visualizing stages of marketing activities or as project management workflow tools. Created with ConceptDraw DIAGRAM — business process mapping software which is flowcharting visio alternative or shortly its visio for mac, this sort of software platform often named the business process management tools.Process Flowchart
Picture: Process Flowchart
Related Solution:

Venn Diagram Maker →

ConceptDraw DIAGRAM charting and vector drawing software extended with Business Diagrams solution from the Management area of ConceptDraw Solution Park is a powerful Venn Diagram maker. Create fast and easy your own Venn Diagrams to visualize: all the possible logical relations between sets, simple set relationships in logic, statistics, mathematics, sociology, marketing, summarize the status and future viability of a project.ConceptDraw DIAGRAM - the best Venn Diagram Maker
Picture: Venn Diagram Maker
Related Solution:

Technical Flow Chart Example →

What illustrates a technical flow chart? Technical flow chart is a diagrammatic representation which visually illustrates the sequence of operations that must to be performed to get the problem's solution. ConceptDraw DIAGRAM enhanced with Flowcharts Solution from the "Diagrams" Area of ConceptDraw Solution is a perfect software for drawing Technical Flow Chart Example illustrating the essence and importance of the technical flow chart use.Technical Flow Chart Example *
Picture: Technical Flow Chart Example
Related Solution:

Food Court →

Food courts are one of the most rapidly developing areas of the restaurant business. ConceptDraw DIAGRAM diagramming and vector drawing software offers a Food Court solution from the Food and Beverage area with wide capabilities for planning, design, developing and advertising of a Food Court.Food Court *
Picture: Food Court
Related Solution:

Basic Flowchart Symbols and Meaning →

While creating flowcharts and process flow diagrams, you should use special objects to define different statements, so anyone aware of flowcharts can get your scheme right. There is a short and an extended list of basic flowchart symbols and their meaning. Basic flowchart symbols include terminator objects, rectangles for describing steps of a process, diamonds representing appearing conditions and questions and parallelograms to show incoming data. This diagram gives a general review of the standard symbols that are used when creating flowcharts and process flow diagrams. The practice of using a set of standard flowchart symbols was admitted in order to make flowcharts and other process flow diagrams created by any person properly understandable by other people. The flowchart symbols depict different kinds of actions and phases in a process. The sequence of the actions, and the relationships between them are shown by special lines and arrows. There are a large number of flowchart symbols. Which of them can be used in the particular diagram depends on its type. For instance, some symbols used in data flow diagrams usually are not used in the process flowcharts. Business process system use exactly these flowchart symbols.Basic Flowchart Symbols and Meaning
Picture: Basic Flowchart Symbols and Meaning
Related Solution:

Onion Diagram Process Design →

Onion diagram is a type of circular diagram that consists of the core circle representing the product/solution and concentric circles around it, which dependent on the core and look like the cross sections of onion. ConceptDraw DIAGRAM diagramming and vector drawing software supplied with Stakeholder Onion Diagrams Solution from the Management Area of ConceptDraw Solution Park is an ideal software for effective Onion diagram process design.Onion Diagram Process Design *
Picture: Onion Diagram Process Design
Related Solution:
ConceptDraw
DIAGRAM 14