Li Xinyao, Liu Manfeng
School of Applied Economics, Jiangxi University of Finance and Economics, Nanchang, 330013, China.
School of Information Management and Mathematics, Jiangxi University of Finance and Economics, Nanchang, 330013, China.
Sci Rep. 2025 Jul 28;15(1):27442. doi: 10.1038/s41598-025-06776-2.
Blockchain technology is a decentralized method of securely storing information in blocks. Over the past few decades, sustainability has gained importance and been shown to be a crucial component in building robust supply chains. Manufacturers and suppliers are pressured to become more globally sustainable by customers who want their products verified for sustainability. Furthermore, problems with social sustainability are becoming more complex. Multi-criteria decision-making (MCDM) is the best tool for addressing this issue. In this article, we aimed to propose a combined compromise solution (CoCoSo) method for ranking blockchain platform selection using spherical fuzzy set (SFS) information. SFS is a well-known framework that provides greater freedom to decision-makers and better reliability than intuitionistic fuzzy sets, Pythagorean fuzzy sets, q-rung ortho-pair fuzzy sets, and picture fuzzy set-based frameworks. The CoCoSo approach under the SFS framework is a renowned tool for complicated decision-making problems. In this method, we consider both linear and non-linear correlations among criteria; the technique aims to give decision-makers a more comprehensive assessment of the alternatives. In the MCDM field, the idea of a power aggregation operator (PAO) is a valuable tool for investigating the weightage of alternatives. We also introduce Sugeno Weber tnorm (TN) and tconorm (TCN) operations under the SFS framework. MCDM Sciences utilizes The Sugeno-Weber operations because it provides a solution for managing ambiguous yet unclear information. The approach enables users to mix diverse inputs through a versatile mechanism that proves valuable for selecting from multiple factors. The cartel theme of this article is to construct a new family of aggregation operators (AOs) called spherical fuzzy (SF) Sugeno Weber power weighted averaging (SFSWPWA) and SF Sugeno Weber power weighted geometric (SFSWPWG) operators, including investigation of some fundamental axioms of AOs. The MCDM algorithm for the CoCoSo method will also be constructed, and the SFSWPWA and SFSWPWG operators will be established. We solve a real-life numerical problem for selecting the best blockchain platform using diagnosed approaches. In the numerical example, we rank blockchain platforms like Hyperledger Fabric, Ethereum, IBM Food Trust, and VeChain. Applying the proposed CoCoSo method, SFSWPWA and SFSWPWG operators "Ethereum" are the best options. The proposed methodologies also apply in real-life Sanrio's where decision-making is involved. To check the applicability of the developed technique, we made a comparison with existing approaches such as interval-valued intuitionistic fuzzy Heronian mean AOs, Pythagorean fuzzy Hamy mean AO, complex q-rung ortho-pair fuzzy Aczel Alsina AOs, and q-rung ortho-pair fuzzy Sugeno-Weber AOs. These discussed AOs are unable to handle SFS-based information. So, we concluded that the suggested framework is more reliable and superior to other discussed environments due to the presence of abstinence grade. Robust conclusions are given in the end.
区块链技术是一种将信息安全地存储在各个区块中的去中心化方法。在过去几十年里,可持续性变得愈发重要,并被证明是构建稳健供应链的关键要素。制造商和供应商面临着来自客户的压力,这些客户希望其产品的可持续性得到验证,从而促使他们在全球范围内提高可持续性。此外,社会可持续性问题正变得越来越复杂。多准则决策(MCDM)是解决这一问题的最佳工具。在本文中,我们旨在提出一种组合折衷解决方案(CoCoSo)方法,用于使用球面模糊集(SFS)信息对区块链平台选择进行排序。SFS是一个著名的框架,它比直觉模糊集、毕达哥拉斯模糊集、q阶正交对模糊集和基于图片模糊集的框架为决策者提供了更大的自由度和更高的可靠性。SFS框架下的CoCoSo方法是解决复杂决策问题的知名工具。在这种方法中,我们考虑了准则之间的线性和非线性相关性;该技术旨在为决策者提供对备选方案更全面的评估。在MCDM领域,幂聚合算子(PAO)的概念是研究备选方案权重的有价值工具。我们还在SFS框架下引入了Sugeno Weber三角模(TN)和三角余模(TCN)运算。MCDM Sciences采用Sugeno-Weber运算,因为它为管理模糊但不明确的信息提供了一种解决方案。该方法通过一种通用机制使用户能够混合不同的输入,这对于从多个因素中进行选择被证明是有价值的。本文的核心主题是构建一个新的聚合算子(AO)族,称为球面模糊(SF)Sugeno Weber幂加权平均(SFSWPWA)和SF Sugeno Weber幂加权几何(SFSWPWG)算子,包括对AO的一些基本公理的研究。还将构建CoCoSo方法的MCDM算法,并建立SFSWPWA和SFSWPWG算子。我们使用诊断方法解决了一个选择最佳区块链平台的实际数值问题。在数值示例中,我们对超级账本织物、以太坊、IBM食品信任和唯链等区块链平台进行了排名。应用所提出的CoCoSo方法、SFSWPWA和SFSWPWG算子,“以太坊”是最佳选择。所提出的方法也适用于涉及决策的现实生活中的三丽鸥公司。为了检验所开发技术的适用性,我们与现有的方法进行了比较,如区间值直觉模糊赫伦平均AO、毕达哥拉斯模糊哈米平均AO、复q阶正交对模糊阿采尔 - 阿尔西纳AO和q阶正交对模糊Sugeno-Weber AO。这些讨论的AO无法处理基于SFS的信息。因此,我们得出结论,由于存在弃权等级,所建议的框架比其他讨论的环境更可靠且更优越。最后给出了有力的结论。