Françozo Rafael Verão, Junior Luiz Sérgio Velasquez Urquiza, Carrapateira Elana Souza, Pacheco Bruna Cristine Scarduelli, Oliveira Márcio Teixeira, Torsoni Guilherme Botega, Yari Jiyan
Federal Institute of Education Science and Technology of Mato Grosso do Sul, Brazil.
University of Araraquara, Brazil.
MethodsX. 2023 Jun 30;11:102277. doi: 10.1016/j.mex.2023.102277. eCollection 2023 Dec.
The Analytic Hierarchy Process (AHP) is a multi-criteria decision support method and is widely applied in many areas. The original AHP method proposed by Thomas L. Saaty in the 1970s requires (n²-n)/2 comparisons. The number of required comparisons can make using this method challenging for maintaining consistent judgments in problems involving many criteria and/or alternatives. Furthermore, the available software is platform-dependent and generally does not support group decision-making. In this paper, we present software for AHP that demands n-1 comparisons. Additionally, the software supports group decision-making using individual aggregation of priorities with arithmetic and geometric means. The system is available at http://ahpweb.net/ and is accessible from any internet-connected device. It currently has more than 100 users and dozens of decision problems in various areas.•The original AHP formulation requires (n²-n)/2 comparisons per cluster which makes it difficult to make consistent judgments.•AHP avaliable software does not enable group decision making.•The proposed system AHP-WEB fills these gaps. The method demands n-1 comparisons per cluster without any inconsistency and allows group decision making on a web system.
层次分析法(AHP)是一种多准则决策支持方法,在许多领域都有广泛应用。托马斯·L·萨蒂于20世纪70年代提出的原始AHP方法需要(n² - n)/2次比较。所需比较的数量使得在涉及许多准则和/或备选方案的问题中使用该方法难以保持一致的判断。此外,现有的软件依赖于平台,并且通常不支持群体决策。在本文中,我们提出了一种用于AHP的软件,该软件只需要n - 1次比较。此外,该软件支持使用算术平均值和几何平均值对优先级进行个体汇总的群体决策。该系统可在http://ahpweb.net/获取,并且可以从任何连接互联网的设备访问。它目前有100多名用户,涉及各个领域的数十个决策问题。
•原始的AHP公式每个聚类需要(n² - n)/2次比较,这使得做出一致的判断变得困难。
•现有的AHP软件不支持群体决策。
•所提出的AHP-WEB系统填补了这些空白。该方法每个聚类只需要n - 1次比较,不会产生任何不一致性,并且允许在网络系统上进行群体决策。