0.1 0.3 0.3 0.2 0.5 andA2 0.5 1 4. Consider two fuzzy sets A х1 +...
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...
Consider the two fuzzy sets: long pencils = {pencil1/0.1, pencil2/0.2, pencil3/0.4, pencil4/0.6, pencil5/0.8, pencil6/1.0} medium pencils = {pencil1/1.0, pencil2/0.6, pencil3/0.4, pencil4/0.3, pencil5/0.1} (a) Determine the union of the two sets. (b) Determine the intersection of the two sets.
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
intelligent control systems fuzzy logic based contril 0.8 0.7 04 0.3 0.2 0.3 b) Plot the ou a) Plot the output: -BUB 1.0 0.9 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.5 0.4A 0.3 0.2 0.2 0.17 0.1 c) Determine the defuzzified output y, by using I. Center of Gravity Method (COG) Height Method (H) II. + 1 (0.5)+3 05)+ 5(0.1) 6() 0.8 0.7 04 0.3 0.2 0.3 b) Plot the ou a) Plot the output: -BUB 1.0 0.9 0.9...
Determine the line yield of the following system. 4 0.5 0.4 0.3 8 5 0.2 0.3 10 Workstation Scrap rate 0.2 0.3 0.2 0.2 0.1 0.2 0.1 0.2 0.3 0.1 10
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
Given 3 fuzzy sets (х)'н -1 0 0 0.5 y c() -2 1 0 (1) Sketch the graph of AUC; AnC, BUC, and BnC (2) Sketch AnBnC (3) Sketch ACBUC
1. Two independent random variables X and y are given with their distribution laws 4 P 07 0.1 0.2 P 0.2 0.3 0.5 Find 1) the variance of random variable Y 2) the distribution law of random variable Z-0.5Y+x END TEST IN PROBABL ITY THEORY AND STAISTICS Variant 1 1. Two independent random vanables X and Y are given with their distribution laws: 2 0.7 0.1 P 0.2 0.3 0.5 0.2 Find 1) the variance of random varñable Y 2)...
A Markov chain X0, X1, X2,... has transition matrix 012 0 0.3 0.2 0.5 P = 1 0.5 0.1 0.4 .2 0.3 0.3 0.4 (i) Determine the conditional probabilities P(X1 = 1,X2 = 0|X0 = 0),P(X3 = 2|X1 = 0). (ii) Suppose the initial distribution is P(X0 = 1) = P(X0 = 2) = 1/2. Determine the probabilities P(X0 = 1, X1 = 1, X2 = 2) and P(X3 = 0). 2. A Markov chain Xo, Xi, X2,. has...
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9