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基于群的广义q-阶正交对模糊N-软集上的聚合算子及其在太阳能电池板评估中的应用

Aggregation operators on group-based generalized q-rung orthopair fuzzy N-soft sets and applications in solar panel evaluation.

作者信息

Raja Muhammad Saeed, Hayat Khizar, Munshi Adeeba, Mahmood Tahir, Sheraz Rawish, Matloob Iqra

机构信息

Department of Mathematics, University of Kotli, Azad Jammu and Kashmir, 11100, Pakistan.

Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan.

出版信息

Heliyon. 2024 Mar 6;10(5):e27323. doi: 10.1016/j.heliyon.2024.e27323. eCollection 2024 Mar 15.

Abstract

Every problem in decision-making has a solution when the information that is available is properly and precisely modeled. This study focuses on non-binary data from N-soft sets and q-rung orthopair fuzzy values, referred to as group-based generalized q-rung orthopair fuzzy N-soft sets (GGq-ROFNSSs). The GGq-ROFNSSs model provides information simultaneously on numerous competing criteria, alternatives, sub-alternatives, and data summarization. We introduce properties of GGq-ROFNSSs such as distinct inclusion features of GGq-ROFNSSs, weak complements of the GGq-ROFNSS, top weak complements the GGq-ROFNSS, bottom weak complements the GGq-ROFNSS. We provide the notion of GGq-ROFNSWA and GGq-ROFNSWG operators as well as their idempotency, monotonicity, and boundedness features. The notion of GGq-ROFNSSs requires a sound methodology of multiple criteria decision making (MCDM) since GGq-ROFNSS combines numerous elements of complex decision-making. We provide a MCDM methodology for the GGq-ROFNSWA and GGq-ROFNSWG operators and depict it in a flowchart. The selection of solar panels for a city is a difficult procedure because it depends on several components such as environment, where the area is located, what kinds of needs are being met, etc. We find a solution to the problem of selecting a suitable solar panel for a city with their underlying characteristics. Finally, we provide a comparison of the suggested method with other techniques to demonstrate its advantages.

摘要

当可用信息得到恰当且精确的建模时,决策中的每个问题都有解决方案。本研究聚焦于来自N - 软集和q - 阶正交对模糊值的非二元数据,即基于群体的广义q - 阶正交对模糊N - 软集(GGq - ROFNSSs)。GGq - ROFNSSs模型能同时提供关于众多相互竞争的标准、备选方案、子备选方案以及数据汇总的信息。我们介绍了GGq - ROFNSSs的性质,如GGq - ROFNSSs的独特包含特征、GGq - ROFNSS的弱补、GGq - ROFNSS的顶部弱补、GGq - ROFNSS的底部弱补。我们给出了GGq - ROFNSWA和GGq - ROFNSWG算子的概念及其幂等性、单调性和有界性特征。GGq - ROFNSSs的概念需要一种合理的多准则决策(MCDM)方法,因为GGq - ROFNSS结合了复杂决策的众多要素。我们为GGq - ROFNSWA和GGq - ROFNSWG算子提供了一种MCDM方法,并以流程图的形式进行了描述。为城市选择太阳能板是一个困难的过程,因为它取决于几个因素,如环境、该地区的位置、满足何种需求等。我们针对为具有特定特征的城市选择合适太阳能板的问题找到了一个解决方案。最后,我们将所提方法与其他技术进行比较以展示其优势。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e5e5/10982983/17f0362b683b/gr001.jpg

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