Multi-criteria decision-making model using trigonometric aggregation operators of single-valued neutrosophic credibility numbers

An important idea is to enhance the credibility measures of single-valued neutrosophic sets/ numbers (SvNSs/SvNNs) and operational requirements of multiple time-phases/periods for ensuring the credibility and rationality of multiple periodic decision-making problems. Motivated by this idea, this study aims to propose a multi-criteria decision-making (MCDM) model based on the trigonometric weighted average and geometric operators of single-valued neutrosophic credibility numbers (SvNCNs). First, a single-valued neutrosophic credibility set is presented to enhance the credibility levels of SvNSs. Then, the score and accuracy functions of SvNCNs are defined to rank SvNCNs. Next, in view of multiple time-phase/period characteristics of trigono-metric functions (sine and arcsine functions and cosine and arccosine functions), we propose the trigonometric t-norm and t-conorm operational laws of SvNCNs and the SvNCN trigonometric weighted average (SvNCNTWA) and SvNCN trigonometric weighted geometric (SvNCNTWG) operators to aggregate SvNCNs. Furthermore, a MCDM model is established in terms of the proposed two aggregation operators and the score and accuracy functions to solve MCDM problems in a SvNCN circumstance. Lastly, the proposed MCDM model is applied to an actual example of the choice issue of slope design schemes for an open-pit mine to indicate the vali-dation and rationality of the proposed model.

Automated summary

This study aims to propose a multi-criteria decision-making (MCDM) model based on the trigonometric weighted average and geometric operators of single-valued neutrosophic credibility numbers (SvNCNs), in order to enhance the credibility and rationality of multiple periodic decision-making problems.