文献类型：期刊文献

英文题名：The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making

作者：Fan, Changxing[1];Fan, En[1];Ye, Jun[2]

机构：[1]Shaoxing Univ, Dept Comp Sci, 508 Huancheng West Rd, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Dept Elect & Informat Engn, 508 Huancheng West Rd, Shaoxing 312000, Peoples R China

年份：2018

卷号：10

期号：5

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:000435196300027)、、Scopus(收录号：2-s2.0-85047275001)、WOS

基金：This research was funded by the National Natural Science Foundation of China grant number [61703280] and Science and Technology Planning Project of Shaoxing City of China grant number [2017B70056].

语种：英文

外文关键词：single valued neutrosophic set (SVNS); neutrosophic multiset (NM); single valued neutrosophic multiset (SVNM); cosine measure; multiple attribute decision-making

外文摘要：Based on the multiplicity evaluation in some real situations, this paper firstly introduces a single-valued neutrosophic multiset (SVNM) as a subclass of neutrosophic multiset (NM) to express the multiplicity information and the operational relations of SVNMs. Then, a cosine measure between SVNMs and weighted cosine measure between SVNMs are presented to measure the cosine degree between SVNMs, and their properties are investigated. Based on the weighted cosine measure of SVNMs, a multiple attribute decision-making method under a SVNM environment is proposed, in which the evaluated values of alternatives are taken in the form of SVNMs. The ranking order of all alternatives and the best one can be determined by the weighted cosine measure between every alternative and the ideal alternative. Finally, an actual application on the selecting problem illustrates the effectiveness and application of the proposed method.