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, […]
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Fuzzy LogicA 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
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Fuzzy LogicFuzzy 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)
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Fuzzy LogicGiven ‘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
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Fuzzy LogicIndependent 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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Fuzzy Logic