If A = {(1,1), (3,0.4), (4,0.2), (5,0.8)} and B = {(2,0.2), (3,0.2), (4,0.5)} are the fuzzy sets defined over the universe of discourse x = {1,2,3,4,5} Find the following terms:- 1. Complement of A and Complement of B 2. Union 3. Intersection 4. ANBº and Bn A°

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: Let A = 9 -5 3 -1 2 1 -8 -8 4 -2 8 7 8 8 10 2 9 7 3 Enter the singular values of A in decreasing…

A: A singular value of a real matrix A is the positive square root of an eigen value of the symmetrix…

Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}. Select (A∩B)^c from the choices…

A:

Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: Suppose p(x, y) is some binary predicate defined on a very small domain of discourse: just the…

A: 1. Since y corresponds to the columns and in each column, there is at least one F value, there…

Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

A: Solution

Q: Let A, B, C, D be sets. (a) (b) Prove that Ax (B \ C') = (A × B) \ (A × C). Prove that (A x B) n (C…

A:

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

A:

Q: 1. (a) Let A = {k, k +1,..., k2}, for k = 1,2,3,.... Uº1 Ak - n=1 Ak (b) Find two infinite sets A…

A: Part (a):- Given that  Ak =  k, k+1, ......, k2 ,   for  k=1, 2, 3,....Find    ∪k=150 Ak - ∩k=1∞ Ak…

Q: If A = {1, 2, 3, 8} and U = universal set = {1, 2, 3, 4, 5, 6, 7, 8}, the complement of A is

A:

Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

A:

Q: State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following…

A: The given sets are X=a,1,a,a,a,1,∅, Y=a,3,a,1,a

Q: Let R(a, b, c), S(a, b, c), and T(a, b, c) be three relations. Write one or more Datalog rules that…

A: Given (R∪S)-T The solution for (R∪S) is as follows ∪(a,b,c)←R(a,b,c) OR S(a,b,c)--------(i) The…

Q: Let 1 3 5 -8 5 -5 1 -1 -3 1 -2 -5 4 -9 9 -2 -2 9 7 Enter the singular values of A in decreasing…

A: Given matrix: A=15-5143-1-31-25-54-99-8-2-297 To find: The singular values of the matrix in…

Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

A:

Q: (a) Construct a Venn diagram that expresses the meaning of AAB. (b) Соmpare АДB to BAA. 2. UNION,…

A: Consider two sets A and B, the symmetric difference between the two sets can be given as,…

Q: Let U = {4, 5, 6, 7, 8, 9, 10, 11},  A = {5, 7, 9},  B = {4, 5, 8, 11}, and C = {4, 6, 10}. Find the…

A: We first find C' (complement of C)

Q: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

Q: Let S = {-2, -1, 0, 2, 1, √2, 2, 4). Determine which elements of S satisfy the inequality. ( 2-1 2x

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.