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Fuzzy Sets and Operators
Course: Computational Intelligence In Engineering (Soft Computing )
Prof. (Dr.) Pravat Kumar Rout
Department of EEE, ITER
Siksha ‘O’Anusandhan (Deemed to be University),
Bhubaneswar, Odisha, India
1
Fuzzy Sets and Membership Function
2
Fuzzy Sets with a Discrete Non-Ordered Universe
3
Fuzzy Sets with a Discrete Ordered Universe
4
Fuzzy Sets with a Continuous Universe
5
6 Generalized Expression
7
Alternative Expression
8
9
Linguistic Variables and Linguistic Values
10
Fuzzy Operators
11
12
13
14
Intersection of Fuzzy Sets
15
Intersection Example
16 Union of Fuzzy Sets
17 Union Example
Negation/ Complement in Fuzzy Sets
18
19 Negation/ Complement in Fuzzy Sets
20
Equality of Fuzzy Sets
21
Algebraic Product of Fuzzy Sets
22
Multiplication of fuzzy sets by a crisp number
23
Power of a Fuzzy Sets
24
Algebraic Sum of Two Fuzzy Sets
25
Bounded Sum of Two Fuzzy Sets
26
Algebraic deference of two fuzzy sets
27
Bounded Difference of two Fussy Sets
28
Cartesian product of two fuzzy sets
29
30 Continue....
Properties of the Fuzzy Sets
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46

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Fuzzy sets and operators