Assessment model of set pair analysis for flood loss based on triangular fuzzy intervals under α-cut

Abstract

The flood disaster is one of the most serious natural disasters. It is the important basis of making plan for flood control to assess flood losses accurately. The results of the common assessment methods are discrete values and low resolution which are applied widely at present. The research to more precise, more intuitive method of loss evaluation for flood disaster is the focus. The set pair analysis assessment model was established by the alpha-cut set of triangle fuzzy number <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A</i> <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">tilde</i> in this paper. The case study shows this method not only presents the concrete rank of flood lose, but also finds that the evaluating rank is a confidence interval; in addition, we can obtain priorities of different areas by the expectation and square difference method for priorities of interval numbers.