Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
The fuzzy relation (R) from (X={x_1,x_2}) to (Y={y_1,y_2}) is (R=\begin{bmatrix}0.6 & 0.3\ 0.2 & 0.9\end{bmatrix}) and the fuzzy relation (S) ___ ___ _____ ____ ________.
________ _________ _____ _____ _____.
_______ ______ ______ _______ _______ ________ ______.
_________ ___ ______ _______ ____ ________ _____ ______ ____ ________ _________ _________.
_________ ___ _______ __________ _____.
_________ __________ ______ ___ _____.
_____ _________ ___ _______ _________ ______ __________ ___ ___ _______ _____ __________.
____ _______ ________ ______ ____ ____.
_______ ______ _____ _____ ____ ________ ________ ___ _______ _____ ________ ____.
________ ________ ____ ___ _______ ___ _____.
__________ _____ _________ ______ ________ ________ ____.
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Generate the population in the next iteration by using Roulette-Wheel criterion:
|
|
|
| 1 | 3.5 |
| 2 | 4.6 |
| 3 | 5 |
| 4 | 2.8 |
| 5 | 1.8 |
Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
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.
Solve the network to approximate the function:
for , choosing the initial weights and bias as the random numbers.
Find the length and order of the following schema:
i)
ii)
iii)
iv)
(क) क्या निम्नलिखित फलन श्वार्ज़-प्रमेय की आवश्यकताओं को (1,1) पर संतुष्ट करता है? अपने उत्तर की पुष्टि कीजिए। (4)
(ख) निम्नलिखित के स्तब्ध बिन्दु निर्धारित करके उनका वर्गीकरण कीजिए : (6)
(i)
(ii)
(क) मान लीजिए
$
दिखाइए कि (0,0) पर सभी दिशाओं में f दिक् अवकलज होते हैं।
(ख) मान लीजिए और f, x और y का एक संततः अवकलनीय फलन है जिसके आंशिक अवकलज भी संततः अवकलनीय हैं। दिखाइए कि
$
(ग) मान लीजिए के तीन बिन्दु हैं।
|2b - a + 3c| ज्ञात कीजिए।