Fuzzy number

A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. ... A fuzzy number is equal to a fuzzy interval.

1. What is fuzzy number example?
2. What are the types of fuzzy numbers?
3. Who introduced fuzzy number?
4. Where are fuzzy numbers used?

What is fuzzy number example?

two fuzzy numbers is equivalent to the difference of two small triangular areas at the right-hand side membership functions. ... As an example, two fuzzy numbers are defined as A1 = (0, 4, 6,10) and A~ = (0, 4, 7.5, 8.5).

What are the types of fuzzy numbers?

In this section, we have discussed three types of fuzzy numbers, viz., Triangular Fuzzy Number (TFN), Trapezoidal Fuzzy Number (TrFN), and Gaussian Fuzzy Number (GFN).

Who introduced fuzzy number?

L.A.Zadeh introduced fuzzy set theory in 1965. Different types of fuzzy sets[3] are defined in order to clear the vagueness of the existing problems. A fuzzy number [9], is a quantity whose values are imprecise, rather than exact as in the case with single-valued function.

Where are fuzzy numbers used?

Fuzzy numbers are used in statistics, computer programming, engineering (especially communications), experimental science and also in mathematics.