Skip to main content
SpringerLink
Log in

Index Matrices as a Decision-Making Tool for Job Appointment

  • Conference paper
  • First Online:
Numerical Methods and Applications (NMA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11189))

Included in the following conference series:

Abstract

The paper explores the process of decision making, related to the appointment of the human factor in an incomplete information environment. We propose for the first time a new approach to optimization of the process of appointment and reappointment, based on partial knowledge about the values of evaluation criteria of the human resources over time, using the apparatuses of index matrices and of intuitionistic fuzzy sets.

In the paper, the 3-dimensional optimal appointment problem is formulated and an algorithm for its optimal solution is proposed, where the evaluations of candidates against criteria formulated by several experts in a certain time (or location), are intuitionistic fuzzy pairs. The proposed algorithm for the solution takes into account the ratings of the experts and the weighting coefficients of the assessment criterion according to its priority for the respective position.

Supported by the Bulgarian National Science Fund under Ref. No. DN-02-10 “New Instruments for Knowledge Discovery from Data, and their Modelling” and the project of Asen Zlatarov University under Ref. No. NIX-401/2017 “Modern methods of optimization and business management”.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Atanassov K. T.: Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautom. 20(S1), S1–S6 (2016)

    Article  MathSciNet  Google Scholar 

  2. Atanassov, K.: Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences 40(11), 15–18 (1987)

    MathSciNet  MATH  Google Scholar 

  3. Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. STUDFUZZ, vol. 283. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-29127-2

    Book  MATH  Google Scholar 

  4. Atanassov, K.: Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence, vol. 573. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-10945-9

    Book  MATH  Google Scholar 

  5. Atanassov, K.: Interval Valued Intuitionistic Fuzzy Sets. World Scientific (2018, in press)

    Google Scholar 

  6. Atanassov, K., Szmidt, E., Kacprzyk, J.: On intuitionistic fuzzy pairs. Notes Intuitionistic Fuzzy Sets 19(3), 1–13 (2013)

    Article  Google Scholar 

  7. Bratton, J., Gold, J.: Human Resource Management: Theory and Practice, 5th edn. Macmillan Press, London (2012)

    Book  Google Scholar 

  8. Bureva, V., Sotirova, E., Moskova, M., Szmidt, E.: Solving the problem of appointments using index matrices. In: Proceedings of the 13th International Workshop on Generalized Nets, vol. 29, pp. 43–48 (2012)

    Google Scholar 

  9. De, S.K., Biswas, R., Roy, A.R.: Some operations on intuitionistic fuzzy sets. Fuzzy sets Syst. 114(4), 477–484 (2000)

    Article  MathSciNet  Google Scholar 

  10. Deng-Feng, L.: Decision and Game Theory in Management with Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol. 308. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-40712-3

    Book  MATH  Google Scholar 

  11. Ejegwa, P., Kwarkar, L., Ihuoma, K.N.: Application of intuitionistic fuzzy multisets in appointment process. Int. J. Comput. Appl. (0975–8887) 135(1), 1–4 (2016)

    Google Scholar 

  12. Traneva, V., Tranev, S.: Index Matrices as a Tool for Managerial Decision Making. Publ. House of the Union of Scientists, Bulgaria (2017). (in Bulgarian)

    Google Scholar 

  13. Traneva, V., Tranev, S., Atanassov, K.: Level Operators Over Intuitionistic Fuzzy Index Matrix (2018, in press)

    Google Scholar 

  14. Traneva, V., Sotirova, E., Bureva, V., Atanassov, K.: Aggregation operations over 3-dimensional extended index matrices. Adv. Stud. Contemp. Math. 25(3), 407–416 (2015)

    MATH  Google Scholar 

  15. Traneva, V., Tranev, S., Atanassova, V.: An Intuitionistic Fuzzy Approach to the Hungarian Algorithm (2018, in press)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. “Prof. Asen Zlatarov” University, “Prof. Yakimov” Blvd, 8000, Bourgas, Bulgaria

    Velichka Traneva & Stoyan Tranev

  2. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vassia Atanassova

Authors
  1. Velichka Traneva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vassia Atanassova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Stoyan Tranev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Velichka Traneva .

Editor information

Editors and Affiliations

  1. Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

    Geno Nikolov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Natalia Kolkovska

  3. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Traneva, V., Atanassova, V., Tranev, S. (2019). Index Matrices as a Decision-Making Tool for Job Appointment. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-10692-8_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation