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Recent questions tagged fuzzysystems
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UGCNETJune2016III65
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 to {(0.5, 12), (0. ... ), (0.5, 17), (0.2, 18)} {(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}
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Aug 21, 2016
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ugcnetjune2016iii
fuzzysystems
fuzzysets
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2
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2
UGCNETJune2016III64
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= $z_1$ $z_2$ $z_3$ $y_1$ $\begin{bmatrix} 0.9 & 0.6 & 0.2 \\ 0.1 & 0.7 & 0.5 \end{bmatrix}$ $y_2$ ... D. T= $z_1$ $z_2$ $z_3$ $x_1$ $\begin{bmatrix} 0.7 & 0.6 & 0.5 \\ 0.8 & 0.8 & 0.8 \end{bmatrix}$ $x_2$
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Aug 21, 2016
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jothee
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2.7k
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ugcnetjune2016iii
fuzzysystems
fuzzyrelation
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1
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3
UGCNETDec2015III66
A bell shaped membership function is specified by three parameters (a,b,c) as follows: $\frac{1}{1+(\frac{xc}{a})^b}$ $\frac{1}{1+(\frac{xc}{a})^{2b}}$ $1+(\frac{xc}{a})^b$ $1+(\frac{xc}{a})^{2b}$
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Aug 11, 2016
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jothee
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755
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ugcnetdec2015iii
fuzzysystems
+1
vote
1
answer
4
UGCNETDec2015III65
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 $x=x_0, \: y=y_0$ the output of the model is $z=\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0) \mu_{C_i} (z)$ ... $z=centroid \: (\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0)$
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Aug 11, 2016
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jothee
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691
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ugcnetdec2015iii
fuzzysystems
+4
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3
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5
UGCNETJune2015III72
Suppose the function y and a fuzzy integer number around  4 for x are given as $y=(x3)^2 + 2$. Around  4 ={(2, 0.3), (3, 0.6), (4, 1), (5, 0.6), (6, 0.3)} respectively. Then f(Around4) is given by {(2, 0.6), (3, 0.3), (6, 1), (11, 0.3)} {(2, 0.6), (3, 1), (6, 1), (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)}
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Aug 2, 2016
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jothee
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ugcnetjune2015iii
fuzzysystems
neuralnetwork
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1
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6
UGCNETJune2015III71
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 $\mu_{A+B^{(Z)}} = \underset{x+y=z}{\oplus} (\mu_A (x) \otimes \mu_B(y))$ $f(A+B)$ is _____ . [Note: ... ), (16, 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)}
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Aug 2, 2016
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jothee
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2.1k
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ugcnetjune2015iii
fuzzysystems
neuralnetwork
+2
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1
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7
UGCNETDec2013III29
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
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Jul 28, 2016
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jothee
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ugcnetdec2013iii
fuzzysystems
fuzzysets
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1
answer
8
UGCNETDec2013III28
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 $\{0.2, 0.5, 0.6, 0.7, 0.9\}$ $\{0.2, 0.5, 0.2, 0.1, 0.8\}$ $\{0.1, 0.5, 0.6, 0.1, 0.8\}$ $\{0.1, 0.5, 0.2, 0.1, 0.8\}$
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Jul 28, 2016
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jothee
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106k
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367
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ugcnetdec2013iii
fuzzysystems
fuzzyset
0
votes
1
answer
9
UGCNETDec2012III13
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 $\{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ $\{ \}$
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Jul 12, 2016
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1.5k
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ugcnetdec2012iii
fuzzysystems
fuzzysets
+2
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1
answer
10
UGCNETJune2012III6
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 $\{0.9,0.7,0.4,0.8,0.9\}$ $\{0.2,0.4,0.8,0.5,0.2\}$ $\{0.1,0.3,0.6,0.3,0.1\}$ $\{0.7,0.3,0.4,0.2,0.7\}$
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Jul 6, 2016
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Knowledge Representation
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jothee
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106k
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ugcnetjune2012iii
fuzzysystems
fuzzysets
+1
vote
2
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11
UGCNETJune2014III08
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 alphacut for alpha = $0.4$ for the set old will be $\left\{(40, 0.4)\right\}$ $\left\{50, 60, 70, 80\right\}$ $\left\{(20, 0.1), (30, 0.2)\right\}$ $\left\{(20, 0), (30, 0), (40, 1), (50, 1), (60, 1), (70, 1), (80, 1)\right\}$
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Jul 4, 2016
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Knowledge Representation
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makhdoom ghaya
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31.2k
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1.7k
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ugcnetjune2014iii
knowledgerepresentation
fuzzysets
fuzzysystems
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