Presenting by: Shivani Soni Course: B-Tech(CSE 7th) Roll no: 13/NR/UT/CS005 Presenting to: Aman Rana
FUZZY LOGIC
AND SWARM
INTELLIGENCE IN AI
Contents…Fuzz
y Logi
c
Define Fuzzy Logic
Why Fuzzy Logic
Swarm intelligen
ce
Fuzzy Set Operation
What is Swarming Why Do
Animal Swarming
Can People Swarm
Artificial
Intelligence
Non Natural / Simulated
Ability to understand think
and learn
So AI is basically a study of how to make a system which can think ,behave and act exactly or batter than the human being act or
react.
Example……
Fuzzy Logic
The power and flexibility of simple If-Then-Else logic rules is enhanced by adding linguistic parameter.
Fuzzy rules are expressed in the form:IF variable IS set THEN action.
FUZZY SET Let X be a non empty set, A fuzzy set A in
X is characterized by its membership function μ A: X -> [0,1], where μ A(x) is the degree of membership of element x in fuzzy set A for each x ∈ X .
A={1.1,2.1,1.0,2.3}
A={1,2,3,5}
OPERATION ON FUZZY SETIntersection of Fuzzy Set The intersection of A and B is defined as (A ∩ B)(x) = min{A(x), B(x)} =
A(x)∩B(x), ∀ x ∈ X, as demonstrated in figure
OPERATION ON FUZZY SET
Union of Fuzzy SetThe union of A and B is defined as(A ∪ B)(x) = max{A(x), B(x)} = A(x)∪B(x), ∀ x ∈ X,
as demonstrated in figure……
OPERATION ON FUZZY SETComplement of Fuzzy SetThe complement of a fuzzy set A is defined as
(~ A)(x) = 1 - A(x) as demonstrated in figure……
OPERATION ON FUZZY SETDifference of Fuzzy Set
SWARM INTELLIGENC
E
SWARMING Aggregation of similar animals,
generally cruising in the same direction
Termites swarm to build colonies Birds swarm to find food Bees swarm to reproduce
WHY DO ANIMALS SWARM? To forage better To migrate As a defense against predators