These fuzzy sets are represented graphically using membership functions and the output is decided based on the degree of membership in each part of the function. This assigning of membership depends on the assumption of the outputs depending on the inputs and the rate of change of the inputs. The output is decided based on the degree of membership of x in the set.

The set A is known as a fuzzy set and the value of f A(x) at x denotes the degree of membership of x in that set. Consider a particular set A which is a subset of X such that all members of A belong to the interval 0 and 1. Suppose we want to control a system where the output can be anywhere in the set X, with a generic value x, such that x belongs to X.

It works on the principle of If-else-the, i.e. Each possible state of the input and the degrees of change of the state are a part of the set, depending upon which the output is predicted. Each set represents some linguistic variables defining the possible state of the output. How does Fuzzy Logic Works?įuzzy logic works on the concept of deciding the output based on assumptions. It was initially used as a way to process data and later began to be used as a control strategy. How did Fuzzy Logic Originate?įuzzy Logic was developed in 1965 by Lotfi Zadeh at the University of California, Berkley as a way to perform computer processes based on natural values rather than binary values. In other words, a fuzzy logic system works on the principle of assigning a particular output depending on the probability of the state of the input. Fuzzy logic is a basic control system that relies on the degrees of state of the input and the output depends on the state of the input and rate of change of this state.

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