For a universal set X = {a, b, c, d, e) of 5 kinds of features, Basic probability assignments (BPA) of evidence are given by a sensor A, as follows: mA({a})= 0.3, m({a, b})= 0.2, m₁({a, b, c)) = 0.3, mA(X) = 0.2 Here, another sensor B independently has a different body of evidence, mg({b})= 0.5, mg({a, b, c)) = 0.3, mg(X) = 0.2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The membership function of a discrete fuzzy set is shown as fallow 1) Find ‘alpha-cut’s of the fuzzy set using crisp interval sets, A(alpha)= [x1,x2] 2) Use the ‘resolution identity’ in order to represent this fuzzy subset with A(alpha)
allKT
K
12:17
✰ocs.cau.ac.kr
4. For a universal set X = {a, b, c, d, e) of 5 kinds of
features, Basic probability assignments (BPA) of
evidence are given by a sensor A, as follows:
m₁({a})= 0.3, mA({a, b}) = 0.2, m({a, b, c)) = 0.3, mA(X) = 0.2
Here, another sensor B independently has a different
body of evidence,
mg({b})=0.5, mg((a, b, c)) = 0.3, mg(x) = 0.2
→
8%
1) Obtain the combined bodies of evidence {FAB, MAB) from
Demster-Shafer's rule of combination in evidence: the
combined BPAs and focal elements.
2) Find a fuzzy set of sensor B, induced HB.) from the
possibility hypothesis.
+
36
Transcribed Image Text:allKT K 12:17 ✰ocs.cau.ac.kr 4. For a universal set X = {a, b, c, d, e) of 5 kinds of features, Basic probability assignments (BPA) of evidence are given by a sensor A, as follows: m₁({a})= 0.3, mA({a, b}) = 0.2, m({a, b, c)) = 0.3, mA(X) = 0.2 Here, another sensor B independently has a different body of evidence, mg({b})=0.5, mg((a, b, c)) = 0.3, mg(x) = 0.2 → 8% 1) Obtain the combined bodies of evidence {FAB, MAB) from Demster-Shafer's rule of combination in evidence: the combined BPAs and focal elements. 2) Find a fuzzy set of sensor B, induced HB.) from the possibility hypothesis. + 36
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