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) allKTK12:17✰ocs.cau.ac.kr4. For a universal set X = {a, b, c, d, e) of 5 kinds offeatures, Basic probability assignments (BPA) ofevidence 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) = 0.2Here, another sensor B independently has a differentbody 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) fromDemster-Shafer's rule of combination in evidence: thecombined BPAs and focal elements.2) Find a fuzzy set of sensor B, induced HB.) from thepossibility hypothesis.+36

To find the alpha-cuts of the fuzzy set, we need to determine the set of elements in the universal…

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

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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