文献类型：期刊文献

英文题名：Some aggregation operators of neutrosophic Z-numbers and their multicriteria decision making method

作者：Du, Shigui[1,2];Ye, Jun[1,2];Yong, Rui[2];Zhang, Fangwei[1]

机构：[1]Ningbo Univ, Inst Rock Mech, Ningbo 315211, Peoples R China;[2]Shaoxing Univ, Dept Civil Engn, Shaoxing 312000, Peoples R China

年份：2021

卷号：7

期号：1

起止页码：429

外文期刊名：COMPLEX & INTELLIGENT SYSTEMS

收录：SCI-EXPANDED(收录号：WOS:000583651800002)、、Scopus(收录号：2-s2.0-85102644355)、WOS

语种：英文

外文关键词：Neutrosophic Z-number set; Neutrosophic Z-number; Neutrosophic Z-number weighted arithmetic averaging operator; Neutrosophic Z-number weighted geometric averaging operator; Multicriteria decision making

外文摘要：As the generalization of the classical fuzzy number, the concept of Z-number introduced by Zadeh indicates more ability to depict the human knowledge and judgments of both restraint and reliability as an order pair of fuzzy numbers. In indeterminacy and inconsistent environment, a neutrosophic set is described by the truth, falsity, and indeterminacy degrees, but they lack measures related to reliability. To describe the hybrid information of combining the truth, falsity and indeterminacy degrees with their corresponding reliability degrees, this paper first proposes the concept of a neutrosophic Z-number (NZN) set, which is a new framework of neutrosophic values combined with the neutrosophic measures of reliability, as the generalization of the Z-number and the neutrosophic set. Then, we define the operations of neutrosophic Z-numbers (NZNs) and a score function for ranking NZNs. Next, we present NZN weighted arithmetic averaging (NZNWAA) and NZN weighted geometric averaging (NZNWGA) operators to aggregate NZN information and investigate their properties. Regarding the NZNWAA and NZNWGA operators and the score function, a multicriteria decision making (MDM) approach is developed in the NZN environment. Finally, an illustrative example about the selection problem of business partners is given to demonstrate the applicability and effectiveness of the developed MDM approach in NZN setting.