A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

被引:16
作者
Xu, Dongsheng [1 ]
Wei, Xiaolan [1 ]
Ding, Hui [2 ]
Bin, Hongqiong [3 ]
机构
[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China
[2] Univ Texas Dallas, Dept Math Sci, 800 West Campbell Rd, Richardson, TX 75080 USA
[3] Sichuan Univ, Sch Foreign Languages, Chengdu 610065, Peoples R China
关键词
multi-attribute decision-making; TODIM; PROMETHEE; single-valued neutrosophic sets; EXTENSION;
D O I
10.3390/math8101816
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Single-valued neutrosophic sets (SVNSs) can effectively describe the multi-attribute decision-making (MADM) problems which are characterized by incompleteness and uncertainty. Aiming at the MADM problem of SVNSs, a series of methods are proposed to solve the problem, such as the TODIM and PROMETHEE methods. The main idea of the TODIM method is to establish a relative superiority function of scheme relative to other schemes based on the value function of prospect theory, and the ranking of alternatives is determined according to the obtained superiority. In the PROMETHEE method, the decision maker selects the preference function for each attribute according to their preference, and then calculates the priority index, inflow, outflow and net flow according to the difference of the attribute values of scheme, so as to determine the ranking of alternatives. In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 53 条
[1]  
[Anonymous], 2018, FUZZY SYSTEMS MATH
[2]  
[Anonymous], 1999, Multiple-Valued Logic
[3]  
Arar Tayfun, 2019, International Journal of Information and Decision Sciences, V11, P36
[4]   A new picture fuzzy information measure based on shannon entropy with applications in opinion polls using extended VIKOR-TODIM approach [J].
Arya, Vikas ;
Kumar, Satish .
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03)
[5]  
Atanassov K., 2016, INT J BIOAUTOMATION, V20, P87
[6]   An interval type-2 fuzzy PROMETHEE method using a likelihood-based outranking comparison approach [J].
Chen, Ting-Yu .
INFORMATION FUSION, 2015, 25 :105-120
[7]   Enhancing PROMETHEE method with intuitionistic fuzzy soft sets [J].
Feng, Feng ;
Xu, Zeshui ;
Fujita, Hamido ;
Liang, Meiqi .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2020, 35 (07) :1071-1104
[8]  
Feng Q.Q., 2015, SCI TECHNOL GUIDE, V33, P90
[9]   Emergency medical center location problem with people evacuation solved by extended TODIM and objective programming [J].
Gai, Ling ;
Peng, Zhiyue ;
Zhang, Jiming ;
Zhang, Jiafu .
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2021, 42 (04) :1004-1029
[10]  
Gao Y., 2007, SYST ENG ELECT TECHN, V2, P205