The majority of data envelopment analysis (DEA) research studies evaluate the sustainability of processes with real-valued factors and individual role, while the investigation of sustainability of networks with bounded, discrete, and joint measures is necessary in many applications. Therefore, the purpose of this study is the examination of sustainability of supply networks and the network performance measurement when bounded, discrete, and joint variables are presented. Accordingly, an estimation approach derived from the DEA is developed in the current paper to performance assessment of sustainable supply networks (SSNs) that incorporate bounded and discrete measures as economic, social, and environmental dimensions. Moreover, the introduced approach is extended to handle situations that there are considered to be the joint factors between dimensions. The suggested approach is employed to a numerical example and the areas of sustainable banking sectors and sustainable soft drink supply networks. The reliability and performance of the proposed approach are investigated by comparison with one of the practical approaches. The findings show the proposed technique leads to creditable consequences and target points. This paper contributes by rendering a nonparametric approach based on non-radial measure to estimate efficiencies of SSNs and targets, whereas there are bounded, discrete, and/or joint attributes and also studying some applications.

大多数数据包络分析 (DEA) 研究评估具有实值因素和个人角色的过程的可持续性，而在许多应用中，有必要研究具有有界、离散和联合措施的网络的可持续性。因此，本研究的目的是检验供应网络的可持续性以及在存在有界、离散和联合变量时的网络性能测量。因此，本文开发了一种源自 DEA 的估计方法，用于可持续供应网络 (SSN) 的绩效评估，其中包含经济、社会和环境维度的有界和离散措施。而且，引入的方法扩展到处理被认为是维度之间的联合因素的情况。建议的方法用于数值示例以及可持续银行业和可持续软饮料供应网络领域。通过与其中一种实际方法进行比较，研究了所提出方法的可靠性和性能。研究结果表明，所提出的技术导致可信的结果和目标点。本文通过呈现基于非径向度量的非参数方法来估计 SSN 和目标的效率，同时存在有界、离散和/或联合属性，并且还研究了一些应用。建议的方法用于数值示例以及可持续银行业和可持续软饮料供应网络领域。通过与其中一种实际方法进行比较，研究了所提出方法的可靠性和性能。研究结果表明，所提出的技术导致可信的结果和目标点。本文通过呈现基于非径向度量的非参数方法来估计 SSN 和目标的效率，同时存在有界、离散和/或联合属性，并且还研究了一些应用。建议的方法用于数值示例以及可持续银行业和可持续软饮料供应网络领域。通过与其中一种实际方法进行比较，研究了所提出方法的可靠性和性能。研究结果表明，所提出的技术导致可信的结果和目标点。本文通过呈现基于非径向度量的非参数方法来估计 SSN 和目标的效率，同时存在有界、离散和/或联合属性，并且还研究了一些应用。