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Type 1 Membership Function

The type 1 membership function for fuzzy set A of universal set X is specified as gA: X —> [0Д], where each element of X maps to a value between 0 and

1. This value, the tab membership value, or the hierarchy of members quantifies the class of element members of X for fuzzy set A.

The membership function allows you to immerse yourself in the graphic representation of the fuzzy set (Colliot et al., 2006). The x rotation represents the world of discourse, and the у rotation represents the member class of the interval [0,1].

A simple function is used to build the membership function. Given that you are defining a fuzzy concept, using more and more features does not improve accuracy.

The Concept of a Type 2 Fuzzy Set

Membership values may include uncertainty (Douglas et al., 1998). If the value of the membership function is provided by a fuzzy set, it is a type 2 fuzzy set. This concept can be extended to a type n fuzzy set.

Definition of Type 2 Fuzzy Sets and Related Concepts

Type 2 fuzzy sets allow us to incorporate uncertainties close to the membership function into fuzzy set theory, which is a way to write a whilom critique of type 1 fuzzy sets head-on. And if there is no uncertainty, the type 2 fuzzy set is reduced to a type 1 fuzzy set, which is consistent with a decrease in the probability of determinism when the unpredictability disappears. Type 2 purge sets and systems generalize to standard type 1 purge sets and systems to deal with increasingly uncertainty. From the very days of the fuzzy set, there has been little criticism for the fact that the membership function of a type 1 fuzzy set has no uncertainty associated with it. It seems absurd because it has the following meaning: a lot of uncertainty.

A tilde symbol is placed over the symbol of the fuzzy set to symbolically distinguish the type 1 fuzzy set from the type 2 fuzzy set. Thus, A stands for a type 1 fuzzy set, while A stands for a comparable type 2 fuzzy set. When the latter is complete, the resulting type 2 purge set is tapped into an unqualified type 2 purge set (to distinguish it from the special spacing type 2 purge set).

Professor Zadeh didn't stop with a type 2 fuzzy set, considering he generalized all of this to a type n fuzzy set in his 1976 paper. We are currently focusing only on type 2 fuzzy sets, considering that our sales target is the next step in the logical progression from type 1 to type n fuzzy sets. Here n=l, 2,..., but some researchers have to navigate higher.

 
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