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Recent questions tagged fuzzy-set

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Self Doubt.
What is the relation between Theory of computation & Fuzzy logic?

Nisha Bharti asked in Unknown Category Sep 22, 2022

by Nisha Bharti

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1 vote

2 answers

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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 $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$

Arjun asked in Others Jul 2, 2019

by Arjun

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1 vote

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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 method Which of the following is/are defuzzification method(s)? Only $M_2$ Only $M_1$ and $M_2$ Only $M_2$ and $M_3$ $M_1$, $M_2$ and $M_3$

Arjun asked in Others Jul 2, 2019

by Arjun

3.4k views

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4

what will be fuzzy set ?

LavTheRawkstar asked in Mathematical Logic Apr 21, 2017

by LavTheRawkstar

218 views

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LavTheRawkstar asked in Mathematical Logic Apr 21, 2017

by LavTheRawkstar

211 views

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Which fuzzy set is fuzzy number ?

LavTheRawkstar asked in Mathematical Logic Apr 21, 2017

by LavTheRawkstar

274 views

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7

Fuzzy sets support and core

LavTheRawkstar asked in Set Theory & Algebra Mar 5, 2017

by LavTheRawkstar

682 views

1 vote

1 answer

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LavTheRawkstar asked in Set Theory & Algebra Mar 5, 2017

by LavTheRawkstar

2.4k views

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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 "Very Sweet" and "Somewhat Sweet" fuzzy sets.

LavTheRawkstar asked in Mathematical Logic Mar 5, 2017

by LavTheRawkstar

361 views

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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) $\{(4, 0.7), (2, 1), (1, 0.8)\}$ $\{(4, 0.3), (5, 0), (6, 0.2)\}$ $\{(1, 1), (2, 1), (3, 0.3), (4, 1), (6, 0.2), (7, 1) \}$ $\{(3, 0.3), (6, 0.2)\}$

go_editor asked in Set Theory & Algebra Jan 5, 2017

6.3k views

3 votes

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UGC NET CSE | June 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 as $\mu_{A+B} (z) = max_{x+y=z} (min (\mu_A(x), \mu_b(x)))$ Then, f(A+B) is equal ... , 17), (0.2, 18)} {(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}

go_editor asked in Others Aug 21, 2016

8.2k views

4 votes

2 answers

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UGC NET CSE | June 2016 | Part 3 | Question: 64
Let R and S be two fuzzy relations defined as R= $y_1$ $y_2$ $x_1$ $\begin{bmatrix} 0.7 & 0.5 \\ 0.8 & 0.4 \end{bmatrix}$ $x_2$ and S= $z_1$ $z_2$ $z_3$ $y_1$ ... $z_1$ $z_2$ $z_3$ $x_1$ $\begin{bmatrix} 0.7 & 0.6 & 0.5 \\ 0.8 & 0.8 & 0.8 \end{bmatrix}$ $x_2$

go_editor asked in Others Aug 21, 2016

6.4k views

2 votes

1 answer

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UGC NET CSE | December 2015 | Part 3 | Question: 66
A bell shaped membership function is specified by three parameters $(a,b,c)$ as follows: $\dfrac{1}{1+\bigg(\dfrac{x-c}{a} \bigg)^b} \\$ $\dfrac{1}{1+\bigg(\dfrac{x-c}{a} \bigg)^{2b}} \\$ $1+\bigg(\dfrac{x-c}{a}\bigg)^b \\$ $1+\bigg(\dfrac{x-c}{a} \bigg)^{2b}$

go_editor asked in Others Aug 11, 2016

1.8k views

1 vote

1 answer

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UGC NET CSE | December 2015 | Part 3 | Question: 65
Consider a standard additive model consisting of rules of the form of If $x$ is $A_i$ AND $y$ is $B_i$ THEN $z$ is $C_i$. Given crisp inputs $x=x_0, \: y=y_0$ ... $z=\text{centroid } (\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0)$

go_editor asked in Others Aug 11, 2016

1.4k views

4 votes

1 answer

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UGC NET CSE | December 2014 | Part 3 | Question: 71
A ________ point of a fuzzy set $A$ is a point $x \in X$ at which $\mu_{A} (x) = 0.5$ Core Support Crossover $\alpha$-cut

makhdoom ghaya asked in Others Aug 2, 2016

by makhdoom ghaya

5.6k views

4 votes

3 answers

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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. Then f(Around-4) is given by {(2, 0.6), (3, 0.3), (6, 1), (11, 0.3)} {(2, 0.6), (3, ... (11, 0.3)} {(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)} {(2, 0.6), (3, 0.3), (6, 0.6), (11, 0.3)}

go_editor asked in Others Aug 2, 2016

7.1k views

4 votes

1 answer

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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 $\mu_{A+B^{(Z)}} = \underset{x+y=z}{\oplus} (\mu_A (x) \otimes \mu_B(y))$ ... , 0.5), (17, 0.2)} {(11, 0.3), (12, 0.5), (13, 0.6), (14, 1), (15, 0.7), (16, 0.5), (17, 0.2)}

go_editor asked in Others Aug 2, 2016

5.5k views

3 votes

2 answers

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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 between the two classes using single perceptron is given by: $x_1+x_2+1.5=0$ $x_1+x_2-1.5=0$ $x_1+1.5=0$ $x_1-1.5=0$

go_editor asked in Others Aug 2, 2016

4.1k views

3 votes

1 answer

19

UGC NET CSE | December 2013 | Part 3 | Question: 29
The height h(A) of a fuzzy set A is defined as h(A) = sup A(x) $\quad \quad$ x $\in$ A The fuzzy set A is called normal when h(A)=0 h(A)<0 h(A)=1 h(A)<0

go_editor asked in Others Jul 28, 2016

9.6k views

2 votes

1 answer

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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 be $\{0.2, 0.5, 0.6, 0.7, 0.9\}$ $\{0.2, 0.5, 0.2, 0.1, 0.8\}$ $\{0.1, 0.5, 0.6, 0.1, 0.8\}$ $\{0.1, 0.5, 0.2, 0.1, 0.8\}$

go_editor asked in Others Jul 28, 2016

1.9k views

1 vote

1 answer

21

UGC NET CSE | September 2013 | Part 3 | Question: 27
Support of a fuzzy set $A= \big\{ \frac{x_1}{0.2}, \frac{x_2}{0.15}, \frac{x_3}{0.9}, \frac{x_4}{0.95}, \frac{x_5}{0.15} \big \}$ ... $\{x_3, x_4 \}$ $\{x_1, x_2, x_3, x_4, x_5\}$

go_editor asked in Others Jul 24, 2016

3.6k views

1 vote

1 answer

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UGC NET CSE | June 2013 | Part 3 | Question: 74
If A and B are two fuzzy sets with membership functions $\mu _A (x)=\{0.6,0.5,0.1,0.7,0.8\}$ $\mu_B(x)=\{0.9, 0.2, 0.6, 0.8, 0.5\}$ Then the value of $\mu_{\overline{A \cup B} }(x)$ will be $\{0.9, 0.5, 0.6, 0.8, 0.8\}$ $\{0.6, 0.2, 0.1, 0.7, 0.5 \}$ $\{0.1, 0.5, 0.4, 0.2, 0.2\}$ $\{0.1, 0.5, 0.4, 0.2, 0.3 \}$

go_editor asked in Others Jul 19, 2016

11.2k views

2 votes

1 answer

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UGC NET CSE | June 2013 | Part 3 | Question: 73
A fuzzy set A on R is ______ iff $A(\lambda x_1 + (1- \lambda)x_2) \geq min [A(x_1), A(x_2)]$ for all $x_1, x_2 \in R$ and all $\lambda \in [0,1]$ where minimum denotes the minimum operator. Support $\alpha$ - cut Convex Concave

go_editor asked in Others Jul 19, 2016

2.7k views

0 votes

1 answer

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UGC NET CSE | December 2012 | Part 3 | Question: 13
Consider a fuzzy set A defined on the interval X=[0, 10]of integers by the membership Junction $\mu_A(x) = \frac{x}{x+2}$. Then the $\alpha$ cut corresponding to $\alpha =0.5 will be $\{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ \}$

go_editor asked in Others Jul 12, 2016

11.3k views

3 votes

1 answer

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UGC NET CSE | June 2012 | Part 3 | Question: 6
If two fuzzy set $A$ and $B$ are given with membership functions $\mu_A(x) = \{0.2,0.4,0.8,0.5,0.1\}$ $\mu_B(x) = \{0.1,0.3,0.6,0.3,0.2\}$ Then the value of $\mu_{\overline{A \cap B} }$ will be $\{0.9,0.7,0.4,0.8,0.9\}$ $\{0.2,0.4,0.8,0.5,0.2\}$ $\{0.1,0.3,0.6,0.3,0.1\}$ $\{0.7,0.3,0.4,0.2,0.7\}$

go_editor asked in Data Mining and Warehousing Jul 6, 2016

6.3k views

1 vote

2 answers

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UGC NET CSE | June 2014 | Part 3 | Question: 08
Consider a fuzzy set old as defined below Old =$ \left\{(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)\right\}$. Then the alpha-cut for alpha = $0.4$ for the set old will be $\left\{(40, 0.4)\right\}$ ... $\left\{(20, 0), (30, 0), (40, 1), (50, 1), (60, 1), (70, 1), (80, 1)\right\}$

makhdoom ghaya asked in Data Mining and Warehousing Jul 4, 2016

by makhdoom ghaya

9.2k views

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