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

1
School of Science, Southwest Petroleum University, Chengdu 610500, China
2
Department of Mathematical Sciences, The University of Texas at Dallas, 800 West Campbell Road, Richardson, TX 75080, USA
3
School of Foreign Languages, Sichuan University, Chengdu 610065, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1816; https://doi.org/10.3390/math8101816
Received: 18 September 2020 / Revised: 12 October 2020 / Accepted: 13 October 2020 / Published: 16 October 2020
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. View Full-Text
Keywords: multi-attribute decision-making; TODIM; PROMETHEE; single-valued neutrosophic sets multi-attribute decision-making; TODIM; PROMETHEE; single-valued neutrosophic sets
MDPI and ACS Style

Xu, D.; Wei, X.; Ding, H.; Bin, H. A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets. Mathematics 2020, 8, 1816.

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