基于尺度变换的BWM改进方法及其对电网关键物资筛选的应用

Improved BWM Method Based on Scale Transformation and Its Application in Selecting Key Materials for Power Grid

摘要: 区间分析法是处理非线性最优最劣法(BWM)存在多解问题的有效方法。本文基于权重区间中心点的大小关系，提出了一种无需计算区间优先度即可获得优先度矩阵的全新便捷算法；然后，在此基础之上，利用“尺度变换”的思想，给出了几类求解权重区间中心点的估计方法，并探讨了这些方法的计算偏差；最后，利用本文所提方法研究了一类电网关键物资的选取问题。本研究简化了已有文献中的区间分析法，规避了求解非线性优化模型的复杂计算过程，推广了非线性BWM的应用范围。

Abstract: Interval analysis is an effective method for dealing with the existence of multiple solutions in nonlinear Best-Worst Methods (BWM). This article proposes a convenient algorithm for obtaining the priority matrix without calculating the interval priority based on the size relationship of the center points of the weight interval. Then, based on this, several methods for estimating the center point of the weight interval were proposed using the idea of “scale transformation”, and the calculation bias of these methods was discussed. Finally, the method proposed in this article was used to study the selection of key materials for a class of power grid enterprises. This study greatly simplifies the interval analysis method in existing literature, and avoids the complex calculation process of solving nonlinear optimization models, and extends the application scope of nonlinear BWM.