带Z编号的TODIM和TOPSIS
TODIM and TOPSIS with Z-numbers
摘要：
在本文中，我们提出了一种方法，能够处理Z-数的背景下，多准则决策（MCDM）问题。Z数由两部分组成，第一部分是对可以假设的值的限制，第二部分是信息的可靠性。作为人类，我们通过自然语言与其他人交流，使用这样的句子：从家到大学的旅程时间大约需要半个小时，很可能。首先，Z-数转换为模糊数使用一个标准的过程。其次，Z-TODIM和Z-TOPSIS分别作为模糊TODIM和模糊TOPSIS的直接扩展。所提出的方法被应用到两个案例研究，并与标准的方法，使用脆值进行比较。结果表明了该方法的可行性。此外，建立了一个图形界面，以处理这两种方法Z-TODIM和Z-TOPSIS允许用户在其他领域的知识易于使用。
英文摘要：
In this paper, we present an approach that is able to handle with Z-numbers in the context of Multi-Criteria Decision Making (MCDM) problems. Z-numbers are composed of two parts, the first one is a restriction on the values that can be assumed, and the second part is the reliability of the information. As human beings we communicate with other people by means of natural language using sentences like: the journey time from home to university takes about half hour, very likely. Firstly, Z-numbers are converted to fuzzy numbers using a standard procedure. Next, the Z-TODIM and Z-TOPSIS are presented as a direct extension of the fuzzy TODIM and fuzzy TOPSIS, respectively. The proposed methods are applied to two case studies and compared with the standard approach using crisp values. Results obtained show the feasibility of the approach. In addition, a graphical interface was built to handle with both methods Z- TODIM and Z-TOPSIS allowing ease of use for user in other areas of knowledge.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
