Question: 7.18. Determine the basic assignment, possibility measure, and necessity measure for each of the following possibility distributions defined on X = {xili e N,) for

7.18. Determine the basic assignment, possibility measure, and necessity measure for each of the following possibility distributions defined on X = {xili e N,) for appropriate values of n: (a) 'r= (1, .8,.8,.,.2); (b) ?r= (1,1,1,.7.7.7, .7); (c) 'r = (1,9..8..6..5..3..3); (d) 'r = (1,5,4,3, 2, 1); (e) 'r=(1,1,.8,.8,.5..5..5..1). Assume in each case that=r(xi), i eN. 7.2. Let X = (a,b,c,d). Given the basic assignment m(la, b, c)) = 5, m((a, b, d)) = -2, and m(X) = .3. determine the corresponding belief and plausibility measures. 7.3. Repeat Exercise 7.2 for some of the basic assignments given in Table 7.5, where subsets of X are defined by their characteristic functions. 7.18. Determine the basic assignment, possibility measure, and necessity measure for each of the following possibility distributions defined on X = {xili e N,) for appropriate values of n: (a) 'r= (1, .8,.8,.,.2); (b) ?r= (1,1,1,.7.7.7, .7); (c) 'r = (1,9..8..6..5..3..3); (d) 'r = (1,5,4,3, 2, 1); (e) 'r=(1,1,.8,.8,.5..5..5..1). Assume in each case that=r(xi), i eN. 7.2. Let X = (a,b,c,d). Given the basic assignment m(la, b, c)) = 5, m((a, b, d)) = -2, and m(X) = .3. determine the corresponding belief and plausibility measures. 7.3. Repeat Exercise 7.2 for some of the basic assignments given in Table 7.5, where subsets of X are defined by their characteristic functions
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