文献类型：期刊文献

英文题名：Multiattribute Decision-Making Problems in terms of the Weighted Mean Operation of Two Aggregation Operators of Orthopair Z-Numbers

作者：Zhao, Mailing[1];Ye, Jun[1,2]

机构：[1]Shaoxing Univ, Dept Elect Engn & Automat, Shaoxing 312000, Peoples R China;[2]Ningbo Univ, Sch Civil & Environm Engn, Ningbo 315211, Peoples R China

年份：2021

卷号：2021

外文期刊名：JOURNAL OF MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000718299100003)、、Scopus(收录号：2-s2.0-85117411348)、WOS

语种：英文

外文摘要：The Z number defined by Zadeh can depict the fuzzy restriction/value and reliability measure by an ordered pair of fuzzy values to strengthen the reliability of the fuzzy restriction/value. However, there exist truth and falsehood Z-numbers in real life. Thus, the Z number cannot reflect both. To indicate both, this study presents an orthopair Z-number (OZN) set to depict truth and falsehood values (intuitionistic fuzzy values) and their reliability levels in uncertain and incomplete cases. Next, we define the operations, score and accuracy functions, and sorting rules of OZNs. Further, the OZN weighted arithmetic mean (OZNWAM) and OZN weighted geometric mean (OZNWGM) operators are proposed based on the operations of OZNs. According to the weighted mean operation of the OZNWAM and OZNWGM operators, a multiattribute decision-making (MADM) model is established in the case of OZNs. Lastly, a numerical example is presented to reflect the flexibility and rationality of the presented MADM model. Comparative analysis indicates that the presented MADM model can indicate its superiority in the reliability and flexibility of decision results. Meanwhile, the resulting advantage of this study is that the presented MADM model can strengthen the reliability level of orthopair fuzzy values and make the decision results more reliable and flexible.