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1. Artificial Intelligence 35
Figure 1-16. Relaionship between crisp value and Fuzzy membership value for the variable Z
The identical relationship between the crisp value and fuzzy value of all
the variables X, Y and Z are chosen for the sake of simplicity (see figure).
Steps involved in obtaining the crisp value of the output variable for the
particular crisp values for the variable X and Y are summarized below.
5.2.1 Algorithm
Step 1: Crisp to fuzzy conversion for the input variable ‘X’ and ‘Y’
Let us consider the crisp value of the input variable X be Xinput the crisp
value of the input variable Y be Yinput. Let Xinput belongs to the set
Xsmall with fuzzy membership 0.7 (say) belongs to set Xmedium 0.3 (say)
as shown in the Figure 1-17 and Figure 1-18 given below.
Figure 1-17. Xinput as the crisp input for the variable X
