Neural Computing and Applications

, Volume 29, Issue 1, pp 221–234 | Cite as

A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection

  • Pu Ji
  • Hong-yu Zhang
  • Jian-qiang WangEmail author
Original Article


The personnel selection is a vital activity for companies, and multi-valued neutrosophic sets (MVNSs) can denote the fuzziness and hesitancy in the processes of the personnel selection. The extant fuzzy TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) methods take advantage of distance to denote the difference between two fuzzy sets (FSs). Nevertheless, the distance measurement, which ignores the included angle between two FSs, cannot comprehensively reflect the difference between two FSs. To cover this defect, a projection-based TODIM method with MVNSs for personnel selection is established to consider the risk preference of decision-makers and overcome the defect of the extant fuzzy TODIM methods. The proposed TODIM method makes use of an improved comparison method which overcomes the deficiency of extant comparison method. Furthermore, a projection-based difference measurement is defined and utilized in the projection-based TODIM method. We conduct a numerical example of the personnel selection to explain the application of the projection-based TODIM method and discuss the influence of the parameter. Finally, the proposed method is compared with several extant methods to verify its feasibility.


Multi-criteria decision-making Multi-valued neutrosophic sets Projection TODIM method The personnel selection 



This work was supported by the National Natural Science Foundation of China (Nos. 71501192 and 71571193).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.


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Copyright information

© The Natural Computing Applications Forum 2016

Authors and Affiliations

  1. 1.School of BusinessCentral South UniversityChangshaChina

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