Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
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_________ ____ _______ _________ _____ _______ _________ ____ ______ ______.
_______ _________ _________ ____ ____ _____ _____.
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Using diagram, show the difference between feed-forward neural network and recurrent neural network.
Consider the ADALINE filter with three neurons in the input layer having weights 3,1 and − 2and the input sequence ......., ,0,0,0 − 0,0,0,5,4 ,.....}. Find the filter output.
Consider the single layer perception given below:
The activation function is:
Obtain the output for each of the following input pattern:
| Patterns |
|
|
|
|
|
| 1 | 0 | 1 | 1 |
|
| 0 | 1 | 0 | 1 |
|
| 0 | 1 | 1 | 1 |
Approximate the function for
, by solving 1-2-1 network, using Back propagation algorithm. The weighted structure and initial input are as follows:
Weighted structures are: and bias
and bias
The initial input is 1.
Draw the architecture of the model. Perform one iteration.
(क) के एक विवृत उपसमुच्चय D पर दो अवकलनीय फलनों f और g की फलनात्मक आश्रितता का आवश्यक प्रतिबंध बताने वाले प्रमेय का कथन दीजिए। निम्नलिखित फलनों f तथा g द्वारा परिभाषित इस प्रमेय को सत्यापित कीजिए।
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(ख) अस्पष्ट फलन प्रमेय की सहायता से यह दिखाइए कि 1 के प्रतिवेश में एक ऐसा अवकलनीय फलन g होता है, जिससे कि (2,1) के प्रतिवेश में और
जहाँ
से फलन F परिभाषित है। g'(y) भी ज्ञात कीजिए।
(ग) द्वारा परिभाषित फलन f की (1, -1) पर स्थानीय व्युत्क्रमणीयता की जाँच कीजिए। फलन f के लिए एक प्रांत ज्ञात कीजिए जिसमें f व्युत्क्रमणीय है।
Consider a dataset of five observations given in the following table, each of which has two features f1 and f2:
| x₁ | x₂ | x₃ | x₄ | x₅ | |
|---|---|---|---|---|---|
| f₁ | 2 | 3 | 4 | 3 | 5 |
| f₂ | 6 | 7 | 5 | 4 | 6 |
Assume the number of cluster and the real number
. Also, assume the initial cluster centers as
and
. Apply fuzzy c-mean algorithm to find the modified cluster center after one iteration.
Determine the -cut of the fuzzy set (A) are given below, at 0.7 and 0.2.
Also, compare the -cut of the two outcomes, and give comments for status of
-value variation.