Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
Let (X={x_1,x_2}), (Y={y_1,y_2}) and (Z={z_1,z_2,z_3}). The fuzzy relation (R) from (X) to (Y) is [ R=\begin{bmatrix} 0.6 & 0.3\ 0.2 & 0.9 \end{bmatrix} ] and the fuzzy relation (S) from (Y) _____ ______ ___ ____ _____.
__________ _________ _____ _______ ________.
___ __________ ________ ______ _____ ________ _______ _____ __________ ________ ___ ________.
_________ ____ __________ ___ __________ _________.
______ ____ ____ ____ ___ _____ ____ _____ ______ ________ __________.
_______ __________ ________ ______ ____ ________ ___ ____ __________.
_________ ______ ________ _________ ____ ________ ____ ___.
_______ _______ _____ _______ _______ _____ ________ ___ ______ ________.
_________ ____ _______ _______ _______ ______ ______ ___ _________ __________.
_______ ___ _________ ___ _____ ___ ____ ___.
_______ __________ ____ _________ _____ _______ _____ ____ ___ ________.
____.
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Determine the fuzzy relation T as a composition between the fuzzy relations R and S given below by using max-min and max-product:
बताइए निम्नलिखित कथन सत्य हैं या असत्य। अपने उत्तरों के कारण बताइए।
(i)
(ii) तीन चरों वाला एक वास्तविक-मान फलन, जो सर्वत्र सतत है, अवकलनीय होता है।
(iii) से परिभाषित फलन
किसी भी बिन्दु
पर स्थानिकतः व्युत्क्रमणीय होता है।
(iv) 
से परिभाषित फलन समाकलनीय होता है।
(v) से परिभाषित फलन
का (0, 0) पर एक चरम मान होता है।
Solve the network to approximate the function:
for , choosing the initial weights and bias as the random numbers.
Out of three genetic operators viz. selection, cross-over and mutation, list and justify which operator or combination there of will be required for the following:
i) To fill the population with copies of the best individual from the population.
ii) For the convergence of an algorithm to good but sub-optimal solution.
Consider the two parents which are participating in partially mapped cross over as shown below:
Parent 1: C D | E A B |I H G F
Parent 2: A B | C D E |F G H I
Using partially mapped crossover assuming 2nd and 6th as the cross over sites, find the children solution.
(क) ग्रीन प्रमेय का कथन दीजिए और इसकी सहायता से का मान निकालिए,
जहाँ C, दीर्घवृत्त है।
(ख) पृष्ठ पर फलन
के चरम मान ज्ञात कीजिए।
Using diagram, show the difference between feed-forward neural network and recurrent neural network.