## 5 Conclusions  
The following conclusions of this article are drawn from the research analysis. We can clearly answer the questions we mentioned in the content of the article. Yes, this type of sensor is suitable for measuring the diameter deviation parameter for the machined surface. The information obtained for steel C45 can be used in further research by a comparative method for checking other types of steel. The values of the deviation of the diameter on the cylindrical surface were measured and evaluated in intervals (0.002-0.2 mm) with LTS. The limit (specified by the manufacturers) for a diameter deviation of up to 0.15 mm was observed, although the 0.3 mm criterion (according to ISO 3685) was not exceeded in the wear of the back side of the \(VB_{B}\) cutting plate in all tests. Creation and verification of a program whose task is to communicate the PLC in the measuring system with the software for recording the data obtained from the laser triangulation sensor. The optimal setting of the input factors for multi-responses is \(a_{p}\) 4-\(f\) 4-\(v_{c}\) 1. Depth of cut 0.5 mm, feed 0.4 mm per revolution, and cutting speed 70 m/min. The meaning of the input factors of each process for multi-responses can be given in the order cutting speed \(>\) depth of cut \(>\) feed, which follows from the table for GRG. The table ANOVA shows that cutting speed is an important factor influencing multi-responses with 95% confidence, in turning steel C45 as a case study of the effect of cutting insert flank wear on average diameter deviation studied by LTS for use in CNC machine tools. Other input factors showed less significance for multiple responses by both GRG and ANOVA. The GRG degree is significantly improved by setting the optimal combination of factors (0.3858). Therefore, the results of optimization of input factors for turning technology can be used in production plants to reduce production costs in the production process and product control. The proposed GRA methodology using the Taguchi L16 orthogonal array has proven to be effective in studying the relationship between the input factors of the process and the various response parameters, such as in the case study of turning. At the end of the paper, some negative and positive experiences with the application of a new generation laser triangulation sensor are presented, the verification of which will be presented in future publications.  
Conceptualization, J.J.; data curation, J.J., V.H., P.M. and I.P.; Methodology, P.M.; resources, M.M.-P., V.H. and P.M.; software, P.L. and I.P.; supervision, J.J.; writing--original draft, M.M.-P.; writing--review & editing, M.M.-P.; project administration, J.J.; funding acquisition, J.J. and M.M.-P. All authors have read and agreed to the published version of the manuscript.  
This work was supported by the Slovak Research and Development Agency under the contract No. APVV-19-0590 granted by the Ministry of Education, Science, Research and Sport of the Slovak Republic.  
**Acknowledgments:** As the authors of the article, we would like to thank the research team of progressive production technologies for the support of research works of the grant agency APVV-19-0590 and also by the projects VEGA 1/0700/20, KEGA 055 TUKE-4/2020, VEGA 1/0440/18 project and VEGA 1/0268/22, granted by the Ministry of Education, Science, Research and Sport of the Slovak Republic.  
**Conflicts of Interest:** The authors declare no conflict of interest.