Intuition and Inference Methods of Assigning Membership Values to Elements

Intuition

This method needs no introduction. It is simply derived from the capacity of human to develop membership functions through their own innate intelligence and understanding.

Intuition Method of Assigning Membership Values

Inference

In inference method we use knowledge to perform deductive reasoning. To deduce or infer a conclusion, we have to use the facts and knowledge on that particular problem. Let us consider the example of Geometric shapes for the identification of a triangle.

Let A, B, C be the interior angles of a triangle such that
A ≥ B ≥ C > 0° and A + B + C = 180°

For this purpose we are having or defining 5 types of triangles namely:

  1. R = Approximately Right-Angle Triangle
  2. I = Approximately Isosceles Triangle
  3. E = Approximately Equilateral Triangle
  4. I.R = Isosceles Right-Angle Triangle
  5. T = Other type of Triangle

Now we can infer membership values for all those type of triangles through the method of inference because we posses the knowledge about the geometry of their shapes for assigning membership values. Below given are the membership values for the 5 types of triangles defined above.

Membership Value for Right Angled Triangle

Membership Value for Isosceles Triangle

Membership Value for Equilateral Triangle

Membership Value for Isosceles Right Angled Triangle

Membership Values of other Triangles

Example :-

example-for-inference-method-of-assigning-membership-values