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An Intuitionistic Fuzzy Approach to the Hungarian Algorithm

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Numerical Methods and Applications (NMA 2018)

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

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Abstract

In the paper a new type of assignment problem is formulated, in which the costs of assigning tasks to candidates are intuitionistic fuzzy pairs. Additional constraints are formulated to the problem: an upper limit to the cost of assigning a particular resource to perform a particular activity and preferences defined in advance for assigning the resources by an index matrix. We propose for the first time the Hungarian algorithm for finding an optimal solution of this new type of assignment problem, based on the concept of index matrices.

Supported by the project of Asen Zlatarov University under Ref. No. NIX-401/2017 “Modern methods of optimization and business management”.

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References

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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
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  2. Stoyan Tranev
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  3. Vassia Atanassova
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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

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Traneva, V., Tranev, S., Atanassova, V. (2019). An Intuitionistic Fuzzy Approach to the Hungarian Algorithm. 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_19

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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