Intuitionistic Fuzzy Sets and its Application in Carrier Determination by the Fusion of Score Function and Normalized Hamming Distance Method

Authors

  • Ruchi Trivedi Department of Mathematics, Bhilai Institute of Technology, Raipur, Chhattisgarh, India https://orcid.org/0000-0002-5484-3367
  • Vikas Kumar Mishra Department of Mathematics, Government Engineering College, Jagdalpur, Chhattisgarh, India https://orcid.org/0009-0005-7632-441X
  • R. N. Dewangan Department of Mathematics, Government Engineering College, Raipur, Chhattisgarh, India
  • Manoj Kumar Dewangan Department of Mathematics, Shri Shankaracharya Institute of Professional Management and Technology, Raipur, Chhattisgarh, India https://orcid.org/0000-0003-3930-9905
  • Maheshwari Department of Mathematics, Shri Shankaracharya Institute of Professional Management and Technology, Raipur, Chhattisgarh, India https://orcid.org/0009-0004-3546-4910

DOI:

https://doi.org/10.26713/cma.v16i2.2977

Keywords:

Intuitionistic fuzzy sets, Career determination, Score function distance method, Accuracy function, Decision-making, Uncertainty, Normalized Hamming distance, Intuitionistic fuzzy numbers

Abstract

Intuitionistic fuzzy sets are commonly used to solve decision making problems. In this paper, a new score and accuracy function of intuitionistic fuzzy sets have been proposed, and used to solve the carrier determination problems. The fusion of score function and normalized hamming distance method of intuitionistic fuzzy sets have been used to determine the distance between each students and each carrier. The results of this approach were then analyzed to determine the most suitable career paths for each student based on their individual characteristics and preferences.

Downloads

Download data is not yet available.

References

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1) (1986), 87 – 96, DOI: 10.1016/S0165-0114(86)80034-3.

S. K. Bharati, Ranking method of intuitionistic fuzzy numbers, Global Journal of Pure and Applied Mathematics 13(9) (2017), 4595 – 4608.

S. Chakraborty and A. K. Saha, Selection of forklift unit for transport handling using integrated MCDM under neutrosophic environment, Facta Universitatis - Series: Mechanical Engineering 22(2) (2024), 235 – 256 DOI: 10.22190/FUME220620039C.

T.-Y. Chen, A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings, Information Sciences 181(17) (2011), 3652 – 3676, DOI: 10.1016/j.ins.2011.04.030.

P. A. Ejegwa, A. J. Akubo and O. M. Joshua, Intuitionistic fuzzy set and its application in career determination via normalized euclidean distance method, European Scientific Journal 10(15) (2014), 529 – 536, URL: https://eujournal.org/index.php/esj/article/view/3478/3241.

K. Henra, E. Efuansyah and R. Sulaiman, Selection of video conference application for mathematics learning using intuitionistic fuzzy max-min average composition method, BAREKENG: Journal of Mathematics and Its Applications 17(1) (2023), 0305 – 0312, DOI: 10.30598/barekengvol17iss1pp0305-0312.

D. H. Hong and C.-H. Choi, Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems 114(1) (2000), 103 – 113, DOI: 10.1016/S0165-0114(98)00271-1.

R. T. Ngan, M. Ali and L. H. Son, δ-equality of intuitionistic fuzzy sets: A new proximity measure and applications in medical diagnosis, Applied Intelligence 48(2) (2018), 499 – 525, DOI: 10.1007/s10489-017-0986-0.

H. Nguyen, A generalized p-norm knowledge-based score function for an interval-valued intuitionistic fuzzy set in decision making, IEEE Transactions on Fuzzy Systems 28(3) (2020), 409 – 423, DOI: 10.1109/TFUZZ.2019.2907068.

D. R. Oktaviani, M. Habiburrohman and F. S. Nugroho, Alternative proof of the infinitude primes and prime properties, BAREKENG: Journal of Mathematics and Its Applications 17(1) (2023), 0475 – 0480, DOI: 10.30598/barekengvol17iss1pp0475-0480.

D. R. Oktaviani, M. Habiburrohman and I. K. Amalina, Application of intuitionistic fuzzy sets in determining the major in senior high school, Desimal: Jurnal Matematika 5(3) (2022), 247 – 254, URL: https://core.ac.uk/download/590358306.pdf.

S. Sutrisno, F. Hariyanti and R. Sulaiman, Application of intuitionistic fuzzy sets in determining research topics for mathematics education students through the normalized euclidean distance method, BAREKENG: Journal of Mathematics and Its Applications 17(2) (2023), 0995 – 1006, DOI: 10.30598/barekengvol17iss2pp0995-1006.

E. Szmidt and J. Kacprzyk, Distances between intuitionistic fuzzy sets and their applications in reasoning, in: Computational Intelligence for Modelling and Prediction, Studies in Computational Intelligence serues, Vol. 2, S. K. Halgamuge and L. Wang (editors), Springer Berlin Heidelberg, Berlin – Heidelberg, (2005), pp. 101 – 116, DOI: 10.1007/10966518_8.

C. U. Wardani, S. Abusini and I. Darti, Synergizing IFTOPSIS and DEA for enhanced efficiency analysis in inpatient units, Jurnal Optimasi Sistem Industri 22(2) (2023), 165 – 178, DOI: 10.25077/josi.v22.n2.p165-178.2023.

Downloads

Published

20-08-2025
CITATION

How to Cite

Trivedi, R., Mishra, V. K., Dewangan, R. N., Dewangan, M. K., & Maheshwari. (2025). Intuitionistic Fuzzy Sets and its Application in Carrier Determination by the Fusion of Score Function and Normalized Hamming Distance Method. Communications in Mathematics and Applications, 16(2), 535 – 541. https://doi.org/10.26713/cma.v16i2.2977

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.