Fuzzy Logics

Introduction Not a logic that is fuzzy but a logic to solve fuzziness Fuzzy Logic (FL) is a method of reasoning that resembles human reasoning. Involves all intermediate possibilities between digital values YES and NO. Inventor: Lotfi Zadeh

Introduction A range of possibilities between yes or no Fuzzy logic Works on Level of possibilities for output

Advantages It can control machines Deals with uncertainty Acceptable reasoning Easy to construct and understand

Architecture Fuzzification Module: Knowledge base: Inference module: Transforms system input. Knowledge base: Stores if-then Inference module: Simulates human reasoning on input De-fuzzification Module: Transform fuzzy logics back to crisp

Architecture Cont.….

Membership function Allows to quantify linguistic term and represent a fuzzy set graphically μA:X → [0,1] Membership value: mapping between the elements

Example