NON-PROBABILISTIC RELIABILITY INDEX AND AFFINE ARITHMETIC
Jian Chen · Jixie qiangdu · 2007
For the first time,affine forms of bounded uncertain quantities and affine arithmetic are introduced into modeling and calculating the non-probability reliability index.A method for reciprocal transformation between interval variables and affine forms is developed.Synchronously,how a more accurate non-probability reliability index can be found by using affine arithmetic is expatiated thoroughly.The affine arithmetic for getting the non-probability reliability index is small in computational complexity and simple in analytic process,and can be implemented by craft.An example validates its rationality and accuracy.