Research Article
Development of Empirical Fragility Curves in Earthquake Engineering considering Nonspecific Damage Information
Table 13
The calculated monotone measures in possibility theory.
| Subset | Monotone measures in possibility theory |
| {1} | cert({1}) = 1 – sup [π({2}), π({3})] = 1 – sup [0.7, 0.4] = 0.3 | pos({1}) = π({1}) = 1 |
| {1, 2} | cert({1, 2}) = 1 − π({3}) = 1 − 0.4 = 0.6 | pos({1, 2}) = sup [π({1}), π({2})] = sup [1, 0.7] = 1 |
| {1, 2, 3} | cert ({1, 2, 3}) = 1 | pos({1, 2, 3}) = sup [π({1}), π({2}), π({3})] = sup [1, 0.7, 0.4] = 1 |
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