# Fuzzy Logic

## What is Bayes Theorem

Originally stated by the Reverend Thomas Bayes, this Bayes’ Theorem falls under probability theory and according to it, if E1, E2, E2, ……….,En are mutually exclusive and exhaustive events and A is any event then Proof :- Since E1, E2, […]

## Random Variable Distribution Discrete Random Variable and Continuous Random Variable

A distribution which gives the probabilities of the values of a random variable function is called random variable distribution. If x1, x2,….,xn are random values of X and P1, P2,….,Pn are their corresponding probabilities, then the random variable distribution of

## What are Fuzzy Propositions

Fuzzy Propositions :- Fuzzy propositions are assigned to fuzzy sets. Suppose a fuzzy proposition ‘P’ is assigned to a fuzzy set ‘A’, then the truth value of the proposition is proposed by T (P) = μA(x) where 0 ≤ μA(x)

## Operations on Fuzzy Sets

Given ‘X’ to be universe of discourse, A and B are two fuzzy sets with membership function μA(x) and μB(x) then, Union The union of two fuzzy sets A and B is a new fuzzy set A ∪ B also

## Independent Events of Probability

Independent Events Two events A, B are said to be independent if and only if the Probability of (A intersection B) equals Probability of A multiplied to Probability of B. P(A∩B) = P(A). P(B) Note that, if A,B are independent

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