Senapati Tapan, Chen Guiyun, Ullah Ikhtesham, Khan Muhammad Sajjad Ali, Hussain Fawad
School of Mathematics and Statistics, Southwest University, Beibei, 400715, Chongqing, China.
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Khyber Pakhtunkhwa, 22500, Pakistan.
Heliyon. 2024 Mar 16;10(6):e27969. doi: 10.1016/j.heliyon.2024.e27969. eCollection 2024 Mar 30.
When dealing with real-life problems, the q-rung orthopair fuzzy set is a core concept because the power of the membership and non-membership degrees is less than or equal to one. The process of selecting and evaluating alternatives based on several criteria or characteristics is known as multi-attribute decision-making (MADM) problems. The overview of the attribute values is a significant problem in MADM. It must be done in an accurate, consistent, and meaningful way. -rung orthopair fuzzy numbers (-ROFNs) are more flexible and powerful for representing uncertain or fuzzy information than other fuzzy number systems such as intuitionistic fuzzy numbers or Pythagorean fuzzy numbers. The paper introduces a new operator within the q-ROF framework or environment. This operator combines the characteristics of Dombi and Archimedean operations. These two operations likely have defined rules and properties within the q-ROF environment. The paper then proceeds to propose some weighted aggregation operators (AOs) based on the Dombi and Archimedean operations under q-ROF. These weighted AOs are likely used for combining or aggregating multiple attributes or criteria in decision-making processes. The paper explores the properties of these operators, which could include aspects like monotonicity, idempotence, or other desirable mathematical properties. Furthermore, the paper emphasizes applying the proposed operators within the q-ROF environment to MADM. This suggests that operators may be used in decision-making scenarios involving multiple attributes or criteria. The paper provides a procedure or methodology for applying the proposed operators in such decision-making processes. Lastly, the paper presents a practical example related to human resource selection. It demonstrates how the suggested strategy can be employed in real-world scenarios with its decision steps and the new operator. The example aims to demonstrate the viability and efficacy of the suggested strategy in solving decision-making problems related to human resource selection.
在处理现实生活中的问题时,q阶正交对模糊集是一个核心概念,因为隶属度和非隶属度的幂小于或等于1。基于多个准则或特征选择和评估备选方案的过程被称为多属性决策(MADM)问题。属性值的概述是MADM中的一个重要问题。必须以准确、一致且有意义的方式进行。与直觉模糊数或毕达哥拉斯模糊数等其他模糊数系统相比,q阶正交对模糊数(q-ROFNs)在表示不确定或模糊信息方面更加灵活和强大。本文在q-ROF框架或环境中引入了一种新算子。该算子结合了Dombi运算和阿基米德运算的特征。这两种运算可能在q-ROF环境中有已定义的规则和性质。然后本文基于q-ROF下的Dombi运算和阿基米德运算提出了一些加权聚合算子(AO)。这些加权AO可能用于在决策过程中组合或聚合多个属性或准则。本文探讨了这些算子的性质,其中可能包括单调性、幂等性或其他理想的数学性质等方面。此外,本文强调将所提出的算子在q-ROF环境中应用于MADM。这表明这些算子可用于涉及多个属性或准则的决策场景。本文提供了在这种决策过程中应用所提出算子的程序或方法。最后,本文给出了一个与人力资源选拔相关的实际例子。它展示了所建议的策略及其决策步骤和新算子如何在实际场景中应用。该例子旨在证明所建议策略在解决与人力资源选拔相关的决策问题中的可行性和有效性。