Affiliations: [a]
Department of Information and Computing Science, China Jiliang University, Hangzhou, P.R. China | [b]
Department of Applied Mathematics, China Jiliang University, Hangzhou, P.R. China
Correspondence:
[*]
Corresponding author. Minxia Luo, School of Sciences, China Jiliang University, Hangzhou 310018, P.R. China. E-mail: [email protected].
Note: [1] This work is supported by the National Natural Science Foundation of China (Grant Nos.61773019 and 11701540).
Abstract: In this paper, a new tangent similarity between single valued neutrosophic sets is given, which contain tangent similarity [23] as a special case. A best-worst multi-criteria decision making method based on the single valued neutrosophic sets is proposed. To achieve this goal, we design an algorithm to identify the best and worst criteria through computing the out-degrees and in-degrees of the collective single valued neutrosophic preference relation directed network, and then calculate the optimal weight vector of attributes. Moreover, a mathematical model corresponding to the definitions of consistent single valued neutrosophic preference relation is contracted. Finaly, the evaluation values of all alternatives are calculated by the proposed new tangent similarity. This approach can make the process of decision making more vivid, intuitive and dynamic in the decision-making process. To illustrate the effectiveness of the proposed method, we used it to solve appointment registration systems problems.
Keywords: Single Valued Neutrosophic Set, Multi-criteria Decision-making, Consistency Ratio, similarity
