The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making

被引:25
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
来源
SYMMETRY-BASEL | 2018年 / 10卷 / 05期
基金
中国国家自然科学基金;
关键词
single valued neutrosophic set (SVNS); neutrosophic multiset (NM); single valued neutrosophic multiset (SVNM); cosine measure; multiple attribute decision-making; CORRELATION-COEFFICIENT; FUZZY-SETS; SIMILARITY MEASURES;
D O I
10.3390/sym10050154
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
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.
引用
收藏
页数:13
相关论文
共 21 条
[1]  
[Anonymous], 2014, NEUTROSOPHIC SETS SY
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]  
Broumi S., 2013, NEUTROSOPHIC SETS SY, V1, P54, DOI DOI 10.5281/ZENODO.571755
[4]   Correlation Coefficient of Interval Neutrosophic Set [J].
Broumi, Said ;
Smarandache, Florentin .
ENGINEERING DECISIONS AND SCIENTIFIC RESEARCH IN AEROSPACE, ROBOTICS, BIOMECHANICS, MECHANICAL ENGINEERING AND MANUFACTURING, 2013, 436 :511-+
[5]  
Chi P, 2013, NEUTROSOPHIC SETS SY, V1, P1, DOI DOI 10.5281/ZENODO.571231
[6]  
Deli I, 2015, INT C ADV MECH SYST, P249, DOI 10.1109/ICAMechS.2015.7287068
[7]   The cosine measure of refined-single valued neutrosophic sets and refined-interval neutrosophic sets for multiple attribute decision-making [J].
Fan, ChangXing ;
Ye, Jun .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (04) :2281-2289
[8]   On similarity and entropy of neutrosophic sets [J].
Majumdar, Pinaki ;
Samanta, Syamal Kumar .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) :1245-1252
[9]  
Smarandache F., 1998, UNIFYING FIELD LOGIC
[10]  
Smarandache F., 2017, Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, VVolume 323, P115