Register

Recent questions tagged fuzzy-set

3 3 votes
0 0 answers
385
385 views
UGC NET CSE | June 2025 | Part 2 | Question: 37
Which of the followings is not a valid property over two fuzzy relations $\tilde{R}$ and $\tilde{S}$ which must be obeyed for performing $\lambda$-cut defuzzifications?$(...
User Avatar
0 0 votes
0 0 answers
235
235 views
UGC NET CSE | June 2025 | Part 2 | Question: 89
Match List I with List II$\begin{array}{|ll|ll|} \hline \textbf{List I} & \textbf{(Operations on Fuzzy Sets)} & \textbf{List II} & \textbf{(Description)} \\ \hline \text{...
User Avatar
0 0 votes
1 1 answer
257
257 views
UGC NET CSE | December 2023 | Part 2 | Question: 38
A _________ point of fuzzy set $\text{A}$ is a point $x \in \mathrm{X}$ at which $\mu \mathrm{A}(x)=0.5$CoreSupportCrossover$\alpha-$ cut
User Avatar
0 0 votes
0 0 answers
468
468 views
UGC NET CSE | June 2023 | Part 2: 24
Given below are two statements:Statement I: Fuzzifier is a part of a fuzzy systemStatement II: Inference engine is a part of fuzzy systemIn the light of the above stateme...
User Avatar
0 0 votes
1 1 answer
592
592 views
Self Doubt.
What is the relation between Theory of computation & Fuzzy logic?
User Avatar
0 0 votes
0 0 answers
335
335 views
UGC NET CSE | December 2019 | Part 2 | Question: 62
A fuzzy conjuction operators, $t(x,y)$, and a fuzzy disjunction operator, $s(x,y)$, form a pair if they satisfy:$t(x,y)=1-s(1-x,1-y)$.If $t(x,y)= \dfrac{xy}{(x+y-xy)}$ th...
User Avatar
1 1 vote
2 2 answers
2.6k
2.6k views
UGC NET CSE | June 2019 | Part 2 | Question: 95
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then$A_{\alpha_1} \supseteq A_{\alpha_2}$$A_{\alpha_1} \supset A_{...
User Avatar
1 1 vote
1 1 answer
4.2k
4.2k views
UGC NET CSE | June 2019 | Part 2 | Question: 96
Consider the following methods:$M_1$: Mean of maximum$M_2$: Centre of area$M_3$: Height methodWhich of the following is/are defuzzification method(s)?Only $M_2$Only $M_1$...
User Avatar
0 0 votes
1 1 answer
493
493 views
Uttrakhand Asst. Professor Exam-96
Which is used to generate membership function in fuzzy logic?Approximate reasoningProportionalityRationalityNone of the above
User Avatar
1 1 vote
1 1 answer
850
850 views
UGC NET CSE | November 2017 | Part 3 | Question: 70
Consider a Takagi-Sugeno – Kang (TSK) Model consisting of rules of the form:If $x_1$ is $A_{i1}$ and $\dots$ and $x_r$ is $A_{ir}$THEN $y=f_i(x_1, x_2, \dots , x_t)=b_{i0...
User Avatar
0 0 votes
0 0 answers
382
382 views
what will be fuzzy set ?
User Avatar
0 0 votes
0 0 answers
363
363 views
Fuzzy doubt
User Avatar
0 0 votes
0 0 answers
1.0k
1.0k views
Fuzzy sets support and core
User Avatar
1 1 vote
1 answers 1 answer
3.2k
3.2k views
Fuzzy Sets
User Avatar
0 0 votes
0 0 answers
570
570 views
Consider the fuzzy set Sweet,
Consider the fuzzy set Sweet,where "Sweet" = {(1,0),(2,0),(3,0.2),(4,0.4),(5,0.6),(6,0.8),(7,1)(1,0),(2,0),(3,0.2),(4,0.4),(5,0.6),(6,0.8),(7,1)}.Find the corresponding "...
User Avatar
0 0 votes
2 2 answers
7.3k
7.3k views
UGC NET CSE | June 2014 | Part 3 | Question: 07
Given$U=\{1, 2, 3, 4, 5, 6, 7 \} \\ A =\{(3, 0.7), (5, 1), (6, 0.8) \}$then $\tilde{A}$ will be: (where $\sim \rightarrow$ complement)$\{(4, 0.7), (2, 1), (1, 0.8)\}$$\{(...
User Avatar
3 3 votes
1 answers 1 answer
9.5k
9.5k views
UGC NET CSE | July 2016 | Part 3 | Question: 65
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 ...
User Avatar
4 4 votes
2 2 answers
8.2k
8.2k views
UGC NET CSE | July 2016 | Part 3 | Question: 64
Let R and S be two fuzzy relations defined asR= $y_1$ $y_2$$x_1$$\begin{bmatrix} 0.7 & 0.5 \\ 0.8 & 0.4 \end{bmatrix}$$x_2$andS= $z_1$$z_2$$z_3$$y_1$$\begin{bmatri...
User Avatar
2 2 votes
1 1 answer
2.7k
2.7k views
UGC NET CSE | December 2015 | Part 3 | Question: 66
A bell shaped membership function is specified by three parameters $(a,b,c)$ as follows:$\dfrac{1}{1+\bigg(\dfrac{x-c}{a} \bigg)^b} \\$$\dfrac{1}{1+\bigg(\dfrac{x-c}{a} \...
User Avatar
1 1 vote
1 answers 1 answer
1.8k
1.8k views
UGC NET CSE | December 2015 | Part 3 | Question: 65
Consider a standard additive model consisting of rules of the form ofIf $x$ is $A_i$ AND $y$ is $B_i$ THEN $z$ is $C_i$. Given crisp inputs $x=x_0, \: y=y_0$ the output o...
User Avatar
4 4 votes
1 answers 1 answer
6.9k
6.9k views
UGC NET CSE | December 2014 | Part 3 | Question: 71
A ________ point of a fuzzy set $A$ is a point $x \in X$ at which $\mu_{A} (x) = 0.5$CoreSupportCrossover$\alpha​$-cut
User Avatar
4 4 votes
3 answers 3 answers
8.6k
8.6k views
UGC NET CSE | Junet 2015 | Part 3 | Question: 72
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...
User Avatar
4 4 votes
1 1 answer
6.6k
6.6k views
UGC NET CSE | Junet 2015 | Part 3 | Question: 71
Let A and B be two fuzzy integers defined as:A={(1.0.3), (2, 0.6), (3, 1), (4, 0.7), (5, 0.2)}B={(10, 0.5), (11, 1), (12, 0.5)}Using fuzzy arithmetic operation given by$\...
User Avatar
4 4 votes
2 answers 2 answers
5.5k
5.5k views
UGC NET CSE | Junet 2015 | Part 3 | Question: 70
Consider the two class classification task that consists of the following points:Class $C_1$: [1 1.5][1 -1.5]Class $C_2$: [-2 2.5][-2 -2.5]The decision boundary b...
User Avatar
3 3 votes
1 1 answer
10.9k
10.9k views
UGC NET CSE | December 2013 | Part 3 | Question: 29
The height h(A) of a fuzzy set A is defined ash(A) = sup A(x)$\quad \quad$ x $\in$ AThe fuzzy set A is called normal whenh(A)=0h(A)<0h(A)=1h(A)<0
User Avatar
2 2 votes
1 answers 1 answer
2.2k
2.2k views
UGC NET CSE | December 2013 | Part 3 | Question: 28
If A and B are two fuzzy sets with membership functions$\mu_A(x)=\{0.2, 0.5, 0.6, 0.1, 0.9\}$$\mu_B(x)=\{0.1, 0.5, 0.2, 0.7, 0.8\}$Then the value of $\mu_{A \cap B}$ will...
User Avatar
1 1 vote
1 1 answer
4.2k
4.2k views
UGC NET CSE | September 2013 | Part 3 | Question: 27
Support of a fuzzy set $A= \big\{ \frac{x_1}{0.2}, \frac{x_2}{0.15}, \frac{x_3}{0.9}, \frac{x_4}{0.95}, \frac{x_5}{0.15} \big \}$ within a universal set X is given as$\bi...
User Avatar
Page: