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基于区间 q 阶对偶模糊幂 Muirhead 均值算子的多属性决策垃圾处理厂选址评估算法。

A multi-attribute decision-making-based site selection assessment algorithm for garbage disposal plant using interval q-rung orthopair fuzzy power Muirhead mean operator.

机构信息

College of Economics and Management, Beijing University of Technology, Beijing, 100124, China.

College of Management, Beijing Union University, Beijing, 100101, China.

出版信息

Environ Res. 2021 Feb;193:110385. doi: 10.1016/j.envres.2020.110385. Epub 2020 Nov 7.

DOI:10.1016/j.envres.2020.110385
PMID:33166534
Abstract

With the increase of the global population and the improvement of people's living standards, the output of garbage generated by human activities is also increasing day by day. Choosing an appropriate garbage disposal site is one of the key links for the harmless disposal of garbage. However, due to the uncertainty and complexity of socio-economic development and the limited cognitive ability of decision-makers, how to rationally select the garbage disposal site has become a challenging task. This study drew a new multi-attribute decision-making method based on interval q-rung orthopair fuzzy weighted power Muirhead mean (Iq-ROFPWMM) operator to evaluate site selection scheme of garbage disposal plant, and support for garbage disposal site selection. In this method, firstly, power average and Muirhead mean operators are integrated and introduced into the interval q-rung orthopair fuzzy environment to construct an Iq-ROFPWMM operator. Meanwhile, some properties of idempotence, boundedness and monotonicity for the Iq-ROFPWMM operator are analyzed. Then, a multi-attribute decision-making method using Iq-ROFPWMM operator is established. After that, a practical case on the evaluation of garbage disposal site selection scheme is given to verify the effectiveness of the proposed method. Further, parameter analysis and comparative analysis are applied to demonstrate the superiority of our method. The results show that this method boasts wider space for evaluation information representation, more flexible adaptation to the environment evaluation, and stronger robustness of the evaluation results. Finally, some conclusions of this study are drawn and the development direction is revealed.

摘要

随着全球人口的增加和人们生活水平的提高,人类活动产生的垃圾产量也与日俱增。选择合适的垃圾处理场是垃圾无害化处理的关键环节之一。然而,由于社会经济发展的不确定性和复杂性以及决策者认知能力的有限性,如何合理选择垃圾处理场已成为一项具有挑战性的任务。本研究提出了一种新的基于区间 q-模糊有序对偶模糊加权幂 Muirhead 均值(Iq-ROFPWMM)算子的多属性决策方法,用于评估垃圾处理厂选址方案,并为垃圾处理场选址提供支持。在该方法中,首先将幂平均和 Muirhead 均值算子集成并引入到区间 q-模糊有序对偶模糊环境中,以构建 Iq-ROFPWMM 算子。同时,分析了 Iq-ROFPWMM 算子的幂等性、有界性和单调性等性质。然后,建立了基于 Iq-ROFPWMM 算子的多属性决策方法。之后,通过一个垃圾处理场选址方案评估的实际案例来验证所提出方法的有效性。进一步进行了参数分析和对比分析,以证明我们方法的优越性。结果表明,该方法具有更广泛的评价信息表示空间、更灵活的环境评价适应性和更强的评价结果稳健性。最后,得出了本研究的一些结论,并揭示了未来的发展方向。

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