adplus-dvertising

Discussion Forum

Que. Consider a fuzzy set old as defined below
 
Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)}
 
Then the alpha-cut for alpha = 0.4 for the set old will be
a. {(40,0.4)}
b. {50, 60, 70, 80}
c. {(20, 0.1), (30, 0.2)}
d. {(20,  0),  (30,  0),  (40,   1), (50,1), (60, 1), (70, 1), (80, 1)}
Answer:{(20,  0),  (30,  0),  (40,   1), (50,1), (60, 1), (70, 1), (80, 1)}
Fizza Mahmood :(December 19, 2020) detail please
The alpha-cut of a fuzzy set is the subset of its support set for which the membership degree is greater than or equal to the given alpha value.

For the fuzzy set Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)}, the support set is {20, 30, 40, 50, 60, 70, 80}.

To find the alpha-cut for alpha = 0.4, we need to find the subset of the support set for which the membership degree is greater than or equal to 0.4.

From the given fuzzy set, we see that the membership degree for 40 is 0.4, and the membership degrees for 50, 60, 70, and 80 are all greater than 0.4. Therefore, the alpha-cut for alpha = 0.4 for the set Old is {40, 50, 60, 70, 80}.
Click Here to Reply
Confused About the Answer? Ask for Details Here
Know Explanation? Add it Here

Similar Questions:

Compute the value of adding the following two fuzzy integers:

A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)}
B = {(0.5,11), (1,12), (0.5,13)}

Where fuzzy addition is defined as

μA+B(z) = maxx+y=z (min(μA(x), μB(x)))
Then, f(A+B) is equal to
Given  U =  {1,2,3,4,5,6,7}
 
             A = {(3, 0.7), (5, 1), (6, 0.8)}
 
then A will be: (where ~ → complement)
Suppose the function y and a fuzzy integer number around -4 for x are given as y= (x-3)2 + 2.

Around -4 = {(2, 0.3), (3, 0.6), (4, 1), (5, 0.6), (6, 0.3)} respectively. Then f (Around -4) is given by:
At any iteration of simplex method, if Δj (Zj – Cj) corresponding to any non-basic variable Xj is obtained as zero, the solution under the test is
A perceptron has input weights W1 = -3.9 and W2 = 1.1 with threshold value T = 0.3. What output does it give for the input x1 = 1.3 and x2 = 2.2?
Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction
 μA(x) = x / (x+2)
Then the α cut corresponding to α = 0.5 will be
In a single perceptron, the updation rule of weight vector is given by
If A and B are two fuzzy sets with membership functions

μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8}
μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5}

Then the value of μ(A∪B)’(x) will be
Perceptron learning, Delta learning and LMS learning are learning methods which falls under the category of
If A and B are two fuzzy sets with membership functions:

μa(χ) ={0.2,0.5.,0.6,0.1,0.9}

μb (χ)= {0.1,0.5,0.2,0.7,0.8}

then the value of μa ∩ μb  will be
A fuzzy set A on R is ................. iff A(λx1 + (1 – λ)x2) ≥ min [A(x1), A(x2)] for all x1, x2 ∈ R and all λ ∈ [0, 1], where min denotes the minimum operator.
A __________ point of a fuzzy set A is a point x ∈ X at which µA(x) = 0.5
What are the following sequence of steps taken in designing a fuzzy logic machine ?
The golden ratio ϕ and its conjugate ϕ’ both satisfy the equation
A basic feasible solution to a m-origin, n-destination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1.
The height h(A) of a fuzzy set A is defined as

h(A) = sup A(x)
Consider a fuzzy set old as defined below
 
Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)}
 
Then the alpha-cut for alpha = 0.4 for the set old will be

GATE CSE Resources

Questions from Previous year GATE question papers

UGC NET Computer science Resources

UGC NET Previous year questions and practice sets

NET General Paper 1

UGC NET Previous year questions and practice sets

GATE CSE Online Test

Attempt a small test to analyze your preparation level. This GATE exam includes questions from previous year GATE papers.

UGC NET practice Test

Practice test for UGC NET Computer Science Paper. The questions asked in this NET practice paper are from various previous year papers.