International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Evaluating Employee Performance: An Approach on Łukasiewicz Intuitionistic Fuzzy Sets in BM-Algebras

  • T. Gokila
  • M. Mary Jansirani
  • Aiyared Iampan*

    * Corresponding author

    Abstract

    In contemporary human resource management, performance evaluations are often influenced by subjectivity and uncertainty, posing challenges to fairness and accuracy. This study introduces a mathematically grounded approach to employee performance assessment by integrating Łukasiewicz logic with intuitionistic fuzzy set theory, framed within the structure of BM-algebras. We construct and examine Łukasiewicz intuitionistic fuzzy subalgebras (LIFA) and ideals (LIFI), developing a set of theoretical results to define their properties and interactions. Through illustrative examples, we demonstrate the logical consistency and applicability of these constructs. The proposed model employs min-max normalization and fuzzy reasoning to facilitate equitable, transparent, and adaptable evaluations. Beyond workplace settings, this framework holds particular promise for research-oriented educational institutions by fostering inclusive assessment strategies and supporting a more dynamic and responsive learning environment. Moreover, the model’s potential to be scaled and shared across collaborative networks underscores its relevance to collective capacity-building and institutional development.

    How to Cite

    T. Gokila, M. M. Jansirani, A. Iampan, Evaluating Employee Performance: An Approach on Łukasiewicz Intuitionistic Fuzzy Sets in BM-Algebras, Int. J. Anal. Appl. 23 (2025), 153. https://doi.org/10.28924/2291-8639-23-2025-153

    BibTeX
    @article{Gokila2025,
  author  = {Gokila, T. and Jansirani, M. Mary and Iampan, Aiyared},
  title   = {Evaluating Employee Performance: An Approach on Łukasiewicz Intuitionistic Fuzzy Sets in BM-Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {153},
  doi     = {10.28924/2291-8639-23-2025-153}
}

    References

    • [1] K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets Syst. 20 (1986), 87–96. https://doi.org/10.1016/s0165-0114(86)80034-3.
    • [2] T. Chaira, Operations on Fuzzy/Intuitionistic Fuzzy Sets and Application in Decision Making, in: Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set, Wiley, 2019. https://doi.org/10.1002/9781119544203.ch5.
    • [3] T. Gokila, M.M. Jansirani, Lukasiewicz Fuzzy BM-Algebra and BM-Ideal, Commun. Appl. Nonlinear Anal. 31 (2024), 131–142.
    • [4] C. Jana, M. Pal, Application of Bipolar Intuitionistic Fuzzy Soft Sets in Decision Making Problem, Int. J. Fuzzy Syst. Appl. 7 (2018), 32–55. https://doi.org/10.4018/ijfsa.2018070103.
    • [5] Y.B. Jun, Lukasiewicz Fuzzy Ideals in BCK-Algebras and BCI-Algebras, J. Algebra Relat. Top. 11 (2023), 1–14.
    • [6] Y.B. Jun, Łukasiewicz Fuzzy Subalgebras in BCK-Algebras and BCI-Algebras, Ann. Fuzzy Math. Inform. 23 (2022), 213–223.
    • [7] Y.B. Jun, S.S. Ahn, Lukasiewicz Fuzzy BE-Algebras and BE-Filters, Eur. J. Pure Appl. Math. 15 (2022), 924–937. https://doi.org/10.29020/nybg.ejpam.v15i3.4446.
    • [8] C.B. Kim, H.S. Kim, On BM-Algebras, Sci. Math. Japon. 63 (2006), 421–427.
    • [9] L. Zadeh, Fuzzy Sets, Inf. Control. 8 (1965), 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x.