## Fuzzy Control System In Excel version 1.2

##### Mon December 13, 2021
type1-fuzzy excel fuzzy

I have received some questions regarding the Fuzzy System in Excel that I posted some time ago, so here I am going through a slightly improvedc version that you can download from Github.

This system implemented in this workbook illustrates a two-input / single output fuzzy system with two rules in an excel sheet.

• Sheets x1 and x2 define the inputs to the system. Each input variable consists of three triangular S, M, and L sets. You can adjust the membership of the sets by changing the Low, Medium and High parameters for each set.

• Similarly, sheet y defines the system’s output, which consists of three triangular S, M, and L sets. You can adjust the membership of the sets by changing the Low, Medium and High parameters for each set.

• Two sheets define the rules for the system: “if (x1 is S) and (x2 is M) then y is S” and “if (x1 is M) and (x2 is L) then y is M”. The sheets show the result of the rules by

• comparing the degree of belonging of the subsequent clauses and noting the minimum value
• working out the rule’s output using this value and the set specified in the consequent clause.

You can enter new input values in the Calculation tab and observe the calculated output. This sheet also shows the defuzzification calculation to obtain the system output.

#### Paper Implementation - Uncertain rule-based fuzzy logic systems Introduction and new directions-Jerry M. Mendel; Prentice-Hall, PTR, Upper Saddle River, NJ, 2001,    555pp., ISBN 0-13-040969-3. Example 9-4, page 261

##### October 8, 2022
type2-fuzzy type2-fuzzy-library fuzzy python IT2FS paper-workout

#### Type Reduction of Interval Type-2 Fuzzy Sets

##### April 6, 2022
type2-fuzzy type2-fuzzy-library fuzzy python IT2FS

#### Paper Implementation - C. Wagner and H. Hagras. 'Toward general type-2 fuzzy logic systems based on zSlices.'

##### A look at C. Wagner and H. Hagras. 'Toward general type-2 fuzzy logic systems based on zSlices.', working of paper examples using T2Fuzz Library
type2-fuzzy paper-workout type2-fuzzy-library fuzzy python