文献类型：期刊文献

英文题名：Subtraction operational aggregation operators of simplified neutrosophic numbers and their multi-attribute decision making approach

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

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

年份：2020

卷号：33

起止页码：157

外文期刊名：NEUTROSOPHIC SETS AND SYSTEMS

收录：EI(收录号：20212810628794)、ESCI(收录号：WOS:000537545700011)、Scopus(收录号：2-s2.0-85105232498)、WOS

语种：英文

外文关键词：Decision making; Simplified neutrosophic set; Subtraction operation; Subtraction operational aggregation operator

外文摘要：The simplified form of a neutrosophic set (NS) was introduced as the simplified NS (S-NS) containing an interval-valued NS (IV-NS) and a single-valued NS (SV-NS) when its truth, indeterminacy and falsity membership degrees are constrained in the real standard interval [0, 1] for the convenience of actual applications. Then, Ye presented subtraction operations of simplified neutrosophic numbers (S-NNs), containing the subtraction operations of interval-valued neutrosophic numbers (IV-NNs) and single-valued neutrosophic numbers (SV-NNs) in S-NN setting. However, the subtraction operations of S-NSs lack actual applications in current research. Since simplified neutrosophic aggregation operators are one of critical mathematical tools in decision making (DM) applications, they have been not investigated so far. Regarding the subtraction operations of S-NNs (SV-NNs and IV-NNs), this work proposes an IV-NN subtraction operational weighted arithmetic averaging (IV-NNSOWAA) operator and a SV-NN subtraction operational weighted arithmetic averaging (SV-NNSOWAA) operator as a necessary complement to existing aggregation operators of S-NNs to aggregate S-NNs (SV-NNs and IV-NNs). Then, a DM approach is developed by means of the SV-NNSOWAA and IV-NNSOWAA operators. Finally, an illustrative example is presented to indicate the applicability and effectiveness of the developed approach.