FOWG算子在X射线检测方案选择中的应用

Method based on FOWGA operator and its application to X-ray real-time to inspection

针对当前X射线数字化实时成像检测技术的广泛应用,研究了决策信息以三角模糊数互补判断矩阵形式给出的有限方案决策问题,给出了一种模糊有序加权平均(FOWA)算子,利用该算子对以三角模糊数互补判断矩阵形式给出的判断信息进行了集结。基于FOWG算子及互补判断矩阵排序公式,给出了一种对决策方案进行排序和择优的算法。利用该算法对长输管道钢质对接焊缝X射线数字化实时成像检测方案进行排序和择优,最后通过算例说明了该方法的有效性和实用性。

Aimed at the wide application of the digital X-ray real-time imaging technique of the inspection, the decision making problem with finite alternatives is studied, in which the decision information takes the form of triangular fuzzy number complementary judgement matrix. A fuzzy ordered weighted averaging （FOWA） operator is presented and then is utilized to aggregate the information given in the form of triangular fuzzy number complementary judgement matrix. The priority vector of triangular fuzzy number complementary judgement matrix is obtained by means of the expected values of triangular fuzzy numbers, and then used to rank the decision alternatives for the digital X-ray real-time imaging technique to the inspection of the welds in natural gas transportation pipelines. Finally, a numerical example is given to clarify the developed algorithm and to demonstrate its effectiveness and practicality.