文献类型：期刊文献

英文题名：Vector Similarity Measures between Refined Simplified Neutrosophic Sets and Their Multiple Attribute Decision-Making Method

作者：Chen, Jiqian[1];Ye, Jun[1,2];Du, Shigui[1]

机构：[1]Shaoxing Univ, Key Lab Rock Mech & Geohazards, 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：2017

卷号：9

期号：8

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:000408751100027)、、Scopus(收录号：2-s2.0-85027345476)、WOS

基金：This paper was supported by the National Natural Science Foundation of China (Nos. 71471172, 41427802).

语种：英文

外文关键词：refined simplified neutrosophic set; refined single-valued neutrosophic set; refined interval neutrosophic set; vector similarity measure; decision-making

外文摘要：A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is described by its refined truth, indeterminacy, and falsity degrees. However, existing refined single-valued/interval neutrosophic similarity measures and their decision-making methods are scarcely studied in existing literature and cannot deal with this decision-making problem with the weights of both attributes and sub-attributes in a refined interval and/or single-valued neutrosophic setting. To solve the issue, this paper firstly introduces a refined simplified neutrosophic set (RSNS), which contains the refined single-valued neutrosophic set (RSVNS) and refined interval neutrosophic set (RINS), and then proposes vector similarity measures of RSNSs based on the Jaccard, Dice, and cosine measures of simplified neutrosophic sets in vector space, and the weighted Jaccard, Dice, and cosine measures of RSNSs by considering weights of both basic elements and sub-elements in RSNS. Further, a decision-making method with the weights of both attributes and sub-attributes is developed based on the weighted Jaccard, Dice, and cosine measures of RSNSs under RSNS (RINS and/or RSVNS) environments. The ranking order of all the alternatives and the best one can be determined by one of weighted vector similarity measures between each alternative and the ideal solution (ideal alternative). Finally, an actual example on the selecting problem of construction projects illustrates the application and effectiveness of the proposed method.