UGCNET-Dec2015-III-65

Question

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

• A. $z=\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0) \mu_{C_i} (z)$
• B. $z=\Sigma_i \mu_{A_i}(x_0) \mu_{B_i} (y_0)$
• C. $z=centroid \: (\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0) \mu_{C_i} (z))$
• D. $z=centroid \: (\Sigma_i \mu_{A_i} (x_0) \mu_{B_i} (y_0)$

Answer 1

option c

STANDARD ADDITIVE MODEL (SAM)  includes the centroid defuzzification technique. here 

IF x is AND y is THEN z is
Given crisp inputs x= x0, y = y0, 

z=centroid(ΣiμAi(x0)μBi(y0)μCi(z))

source : http://shodhganga.inflibnet.ac.in/bitstream/10603/134769/9/09_chapter%203.pdf