当前位置: X-MOL 学术Comput. Appl. 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.)
Likelihood-based qualitative flexible approach to ranking of Z -numbers in decision problems
Computational and Applied Mathematics ( IF 2.5 ) Pub Date : 2020-04-30 , DOI: 10.1007/s40314-020-01167-x
Dong Qiao , Yi-ting Wang , Jian-qiang Wang , Hanyang Luo , Lin Li

Information reliability has a remarkable effect on decision-making outcome. Zadeh’s Z-number considers information fuzziness and reliability, and can, therefore, help the decision-maker to manage complicated problems. However, due to its complex construct, several issues concerning the computation of Z-numbers require further research. This study develops a novel likelihood-based method of comparing two Z-numbers to solve multi-criteria decision-making (MCDM) problems. Four main parts can be outlined. First, the likelihood of fuzzy restriction of Z-numbers is defined based on the conversion method of Z-number. Second, the likelihood of underlying probability distributions of Z-numbers is also proposed to compare the difference of randomness of Z-information. Third, by adding to a risk preference parameter, this study constructs a comprehensive weighted likelihood of Z-numbers. Finally, a likelihood-based qualitative flexible approach is extended to address the MCDM problems under Z-evaluation. In addition, a numerical example of the selection of ERP systems for ABC enterprise is placed to illustrate the applicability, validity, and effectiveness of the proposed method.

中文翻译:

基于可能性的定性灵活方法对决策问题中的Z数进行排名

信息可靠性对决策结果有显着影响。Zadeh的Z数考虑了信息的模糊性和可靠性,因此可以帮助决策者管理复杂的问题。但是,由于其复杂的构造,有关Z数计算的几个问题需要进一步研究。这项研究开发了一种新颖的基于可能性的比较两个Z值的方法,以解决多准则决策(MCDM)问题。可以概述四个主要部分。首先,模糊限制的可能性ž -值是基于所述转换方法定义ž -number。第二,Z的潜在概率分布的可能性还提出了使用-个数来比较Z信息的随机性差异。第三,通过添加风险偏好参数,本研究构建了Z值的综合加权似然性。最后,扩展了一种基于似然性的定性灵活方法,以解决Z评估下的MCDM问题。另外,通过算例对ABC企业选择ERP系统进行了数值模拟,以说明该方法的适用性,有效性和有效性。
更新日期:2020-04-30
down
wechat
bug