Research Article

Development of Empirical Fragility Curves in Earthquake Engineering considering Nonspecific Damage Information

Table 12

The possibility distributions.

SubsetMonotone measures in evidence theory

{1}π({1}) = m({1}) + m({1, 2}) + m({1, 3}) + m({1, 2, 3}) = 0.3 + 0.3 + 0 + 0.4 = 1

{2}π({2}) = m({2}) + m({1, 2}) + m({2, 3}) + m({1, 2, 3}) = 0 + 0.3 + 0 + 0.4 = 0.7

{3}π({3}) = m({3}) + m({1, 3}) + m({2, 3}) + m({1, 2, 3}) = 0 + 0 + 0 + 0.4 = 0.4