![• Membership function is a graph
that defines how each point in the
input space is mapped to
membership value between 0 and
1.
• It allows us to quantify linguistic
terms and represent a fuzzy set
graphically.
• A membership function for a fuzzy
set A on the universe of discourse
X is defined as
µA:X
Membership Function
[0,1]](https://image.slidesharecdn.com/fuzzylogic-210605175850/85/Fuzzy-logic-5-320.jpg)
Fuzzy logic
- 1. Topic – Fuzzy Logic
- 2. Definition of Fuzzy Fuzzy – “not clear, distinct or precise ;blurred ” Definition of Fuzzy Logic A form of knowledge representation suitable for notions which cannot be defined precisely , but which depend upon their contexts. What is Fuzzy Logic?
- 3. Architecture
- 4. It consists of four main components: 1.Rule Base : It stores if-then rules provided by the experts. 2.Fuzzification: It transforms the system inputs , which are crisp values into fuzzy sets. 3.Inference Engine : It simulates the human reasoning process by making fuzzy inference on the inputs and IF-THEN rules. 4.Defuzzification:It transforms the fuzzy set obtained by the inference engine into a crisp value.
- 5. • Membership function is a graph that defines how each point in the input space is mapped to membership value between 0 and 1. • It allows us to quantify linguistic terms and represent a fuzzy set graphically. • A membership function for a fuzzy set A on the universe of discourse X is defined as µA:X Membership Function [0,1]
- 7. Characteristics Following are the characteristics of Fuzzy Logic : Flexible in nature and can be easily implemented as well as understood. Minimization of logics created by the human. Best method for finding the solution of those problems which are suitable for approximate or uncertain reasoning. Everything is a matter of degree. Any system which is logical can be easily fuzzified.
- 8. Operations in Fuzzy Logic
- 11. Applications Following are the different application areas: Businesses Automotive systems Defence Pattern Recognition and Classification Securities Finance Industries Microwave ovens , washing machines etc
- 12. PROS CONS Works similarly as the human reasoning. Easily understandable. Does not need a large memory. Widely used in all fields of life. Allows for controlling the control machines Rules can be easily added or deleted. Run time is low Understandable only if simple Possibilities are not always accurate. Some ways may cause ambiguity. Not suitable for those that require high accuracy. Needs lot of testing and validation.
- 13. Thank You