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基于区间值费马模糊哈马赫聚合算子的电子废弃物回收多属性决策

Multi-attribute decision-making for electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators.

作者信息

Luqman Anam, Shahzadi Gulfam

机构信息

Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Pakistan.

Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan.

出版信息

Granul Comput. 2023 Feb 8:1-22. doi: 10.1007/s41066-023-00363-4.

Abstract

The utilization of electrical and electronics equipments in waste recycling has become a paramount for various countries. The waste electrical and electronics equipment (WEEE) recyclers own a crucial position in the environmental growth of a country as they help to minimize the carbon emissions during the recycling of WEEE in the most eco-friendly way. Therefore, the selection and assessment of an appropriate WEEE recycling partner has become a most important part of DM (decision-making) applications. The collusion of numerous quantitative and qualitative factors makes the recycling partner selection problem, a multifaced and significant decision for the managerial experts. The main objective of this work is to propose MADM (multi-attribute decision-making) techniques to evaluate the WEEE recycling partners under interval-valued Fermatean fuzzy (IVFF) information. In this regard, certain Hamacher AOs (aggregation operators) are proposed to develop the required DM method. These AOs include Hamacher weighted averaging, ordered weighted averaging, weighted geometric, ordered weighted geometric, generalized Einstein weighted averaging, generalized Einstein ordered weighted averaging, generalized Einstein weighted geometric, etc. Then, these averaging operators are utilized to come up with a MADM techniques under IVFF environment. Furthermore, the constructed technique is applied to a case study in China to incorporate with the e-waste recycling partner selection problem. Moreover, a brief comparison of the proposed with is presented with various existing techniques to manifest the productivity and coherence of the proposed model. Finally, the accuracy and consistency of results shows that the proposed technique is fully compatible and applicable to handle any MADM problem.

摘要

电气和电子设备在废物回收中的利用已成为各国的重中之重。废弃电气和电子设备(WEEE)回收商在一个国家的环境发展中占据关键地位,因为他们有助于以最环保的方式在WEEE回收过程中减少碳排放。因此,选择和评估合适的WEEE回收合作伙伴已成为决策(DM)应用中最重要的部分。众多定量和定性因素的相互作用使得回收合作伙伴选择问题成为管理专家面临的一个多方面且重要的决策。这项工作的主要目标是提出多属性决策(MADM)技术,以在区间值费马模糊(IVFF)信息下评估WEEE回收合作伙伴。在这方面,提出了某些哈马赫聚合算子(AO)来开发所需的DM方法。这些AO包括哈马赫加权平均、有序加权平均、加权几何、有序加权几何、广义爱因斯坦加权平均、广义爱因斯坦有序加权平均、广义爱因斯坦加权几何等。然后,利用这些平均算子在IVFF环境下提出一种MADM技术。此外,将构建的技术应用于中国的一个案例研究,以解决电子废物回收合作伙伴选择问题。此外,将所提出的方法与各种现有技术进行了简要比较,以体现所提出模型的有效性和一致性。最后,结果的准确性和一致性表明,所提出的技术完全适用于处理任何MADM问题。

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