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# Zadanie 1 Graduation of fuzzy sets. First Determine the membership values of individuals, whose age is given, the set of "old." Apply the following criterion for membership function:

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Graduation of fuzzy sets. First Determine the membership values of individuals, whose age is given, the set of "old."

Apply the following criterion for membership function:

name age(x) µage(x)

Ewa 33

Ola 43

Waldek 44 Marek 51

Anna 55

Mirela 57 Grzegorz 61 Marcin 67 Karol 85 Kasia 88

Then, knowing that fuzzy sets can be graded calculate the value of membership function for each person to set a "very old" based on the value of membership function of the "old":

Please suggest a function of belonging, which for a given hour will give the appropriate time of day. Use the following illustration of the solution:

Suppose we have rules:

And that the functions belonging to different classes of data are as follows:

0 0,5 1 1,5

33 43 44 51 55 57 61 67 85 88

"stary"

"bardzo stary"

(2)

Determine the risk of an insurance company for the customer:

a) Wiek = 35 AND moc samochodu = 150 KM b) Wiek = 55 AND moc samochodu = 150 KM c) Wiek = 35 AND moc samochodu = 190 KM

Assume that the system knowledge base contains the following rules:

RULE1: IF temperature is hot or warm, THEN the swimming pool is crowded.

RULE2: IF temperature is cold, THEN the swimming pool is quiet.

Membership functions for the individual sets may be as follows:

### 1. Suppose we have a system within a simple controller that uses an error signal e and the error signal de change as input and questions are 4 rules based on fuzzy model that works:

RULE 1: IF e = P AND de = P THEN x = N RULE 2: IF e = P AND de = N THEN x = 0 RULE 3: IF e = N AND de = P THEN x = 0 RULE 4: IF e = N AND de = N THEN x = P

### Assuming that the input variables have the following values in the collection of membership function of input:

µN(e) = 0.4; µP(e) = 0.6 i µN(de) = 0.2; i µP(de) = 0.8

(3)

### • The probability of an accident (0 - 1): {very small, small, medium, large}

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