Abstract

Multicriteria decision making (MCDM) provides tools for the decision makers (DM) to solve complex problems with multiple conflicting criteria. Scalarization of criteria values requires using weights for criteria. Determining weights creates controversy as they are influential on the final ranking and challenges the DM as they are hard to elicit. PROMETHEE method is widely used in MCDM for ranking the alternatives and appropriate in situations when there is limited information on the preference structure of the DM. The DM should provide exact values for parameters such as criteria weights and thresholds of preference functions. Data Envelopment Analysis (DEA) is used for measuring the relative efficiency of alternatives in a non-parametric way without requiring any weight input. In this study, we propose two novel PROMETHEE based ranking approaches that address the determination of weight and threshold values by using an approach inspired by DEA. The first approach can deal with imprecise specification of criteria weights, and the second approach can utilize both imprecise weights and thresholds. The proposed approaches provide the DM substantial flexibility on the required level of information on those parameters. An illustrative example and a real-life case study are presented to show the utility of the proposed approaches.

摘要

多标准决策 (MCDM) 为决策者 (DM) 提供了解决具有多个相互冲突标准的复杂问题的工具。标准值的标量化需要对标准使用权重。确定权重会引起争议，因为它们对最终排名有影响，并且因为它们难以引出而挑战 DM。PROMETHEE 方法在 MCDM 中广泛用于对备选方案进行排名，适用于 DM 偏好结构信息有限的情况。DM 应提供参数的准确值，例如标准权重和偏好函数的阈值。数据包络分析 (DEA) 用于以非参数方式测量替代方案的相对效率，无需任何权重输入。在这项研究中，我们提出了两种新的基于 PROMETHEE 的排序方法，它们通过使用受 DEA 启发的方法来确定权重和阈值。第一种方法可以处理不精确的标准权重规范，第二种方法可以同时利用不精确的权重和阈值。所提议的方法为 DM 提供了有关这些参数所需信息水平的极大灵活性。一个说明性的例子和一个真实的案例研究展示了所提出的方法的效用。所提议的方法为 DM 提供了有关这些参数所需信息水平的极大灵活性。一个说明性的例子和一个真实的案例研究展示了所提出的方法的效用。所提议的方法为 DM 提供了有关这些参数所需信息水平的极大灵活性。一个说明性的例子和一个真实的案例研究展示了所提出的方法的效用。