FOU on Function

In word counting, words can be modeled as spacing values (IV) fuzzy sets (FS). It was a very important matter to organize the FOU for FS in almost one word. Although many methods have been developed, it is still difficult for each person to provide a FOU close to their own words. The main reason is that the FOU is inherent in representing the likelihood of a variable value. To overcome this problem, we can aim to interpret the FOU of the FS by revealing the possibility of the variable value.

It turns out that the focal point of FS is a measure of the uncertainty inherent in the FOU. The normalized weights of the variable values used to calculate the centroid can be considered a type 1 (Tl) membership function (MF) and are simple to show the likelihood of these values. Research can be conducted by uncovering the relationship between FOU and this Tl MF. This Tl FS is tabbed with Tl (ET1) FS equivalent to IV FS. You can set up an equation that relates the lower MF (LMF) and upper MF (UMF) of IV FS to the MF of ET1 FS. Using the established equations, we can present properties close to the MF of ET1 FS for IV FS, indicating the relationship between FOU and MF of ET1 FS. These properties help people relate the FOU of IV FS to the likelihood of a variable value that occurs.

Rules

Calculating the center of the IV FS was a very important matter, and many methods have been matured. The Karnik-Mendel (KM) method is not the best judged defuzzy method. However, this represents the endpoint of the central gap, which is important in this context. The KM method has been matured based on the wavy fragment representation theorem, which can be considered a combination of all T1 FS with IV FS (Mendel et al., 2007). You can start by calculating the centroid of the embedded T1 FS involved. The center of all embedded T1 FS is locally spaced by the left and right endpoints.

The FOU for IV FS is implied in showing the likelihood of a variable value, preventing people from providing FOUs close to their own words. The MF of ET1 FS for IV FS easily shows the possibility of variable values. Equations related to UMF and LMF of IV FS and MF of ET1 FS have been established. Properties representing the relationship between the FOU of IV FS and the MF of ET1 FS were presented using the established equation. These properties help people relate the FOU of IV FS to the likelihood of a variable value.