当前位置: X-MOL 学术J. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A Novel Opportunity Losses-Based Polar Coordinate Distance (OPLO-POCOD) Approach to Multiple Criteria Decision-Making
Journal of Mathematics ( IF 1.4 ) Pub Date : 2024-2-27 , DOI: 10.1155/2024/8845886
Reza Sheikh 1 , Soheila Senfi 2
Affiliation  

The ability to make decisions is crucial for achieving success in any field, particularly in areas that involve managing extensive information and knowledge. The process of decision-making in real-world scenarios often involves considering numerous factors and aspects. It can be challenging to make decisions in such complex environments. In this paper, we present a new technique that solves multicriteria decision-making (MCDM) problems by considering opportunity losses-based polar coordinate distance (OPLO-POCOD). MCDM is a subdiscipline of operations research in which some alternatives are evaluated concerning some criteria to choose the most optimal alternative(s). Opportunity loss is a fundamental concept in economics and management, which can be used as a basis for determining the value associated with information. The authors emphasize that the technique incorporates the concept of opportunity losses and uses distance vectors in polar coordinates, making it a compelling approach. By considering opportunity losses, decision-makers gain a better understanding of the trade-offs involved in selecting alternatives, enabling them to make more informed decisions. Finally, the proposed method is exhibited through the use of numerical an example to illustrate its process. Additionally, a comparative sensitivity analysis is conducted to evaluate the outcomes of OPLO-POCOD and compare them with existing MCDM methods. The OPLO-POCOD method is found to have high reliability compared to other methods, as indicated by Spearman’s correlation coefficient, which is greater than 0.9. The method shows a correlation of over 98.5% with TOPSIS, COPRAS, ARAS, and MCRAT methods, demonstrating its robustness and effectiveness. These analyses show the efficiency of the proposed method and highlight the stability of the results.

中文翻译:

一种新的基于机会损失的极坐标距离 (OPLO-POCOD) 多标准决策方法

决策能力对于在任何领域取得成功都至关重要,特别是在涉及管理大量信息和知识的领域。现实场景中的决策过程通常涉及考虑许多因素和方面。在如此复杂的环境中做出决策可能具有挑战性。在本文中,我们提出了一种通过考虑基于机会损失的极坐标距离(OPLO-POCOD)来解决多标准决策(MCDM)问题的新技术。MCDM 是运筹学的一个分支学科,其中根据某些标准评估一些替代方案以选择最佳替代方案。机会损失是经济学和管理学中的一个基本概念,可以作为确定信息相关价值的基础。作者强调,该技术结合了机会损失的概念,并使用极坐标中的距离向量,使其成为一种引人注目的方法。通过考虑机会损失,决策者可以更好地了解选择替代方案时所涉及的权衡,从而做出更明智的决策。最后,通过数值例子展示了所提出的方法来说明其过程。此外,还进行了比较敏感性分析来评估 OPLO-POCOD 的结果,并将其与现有的 MCDM 方法进行比较。与其他方法相比,OPLO-POCOD 方法具有较高的可靠性,Spearman 相关系数大于 0.9。该方法与 TOPSIS、COPRAS、ARAS 和 MCRAT 方法的相关性超过 98.5%,证明了其稳健性和有效性。这些分析显示了所提出方法的效率并突出了结果的稳定性。
更新日期:2024-02-27
down
wechat
bug