JP Journal of Biostatistics

The JP Journal of Biostatistics is a highly regarded open-access international journal indexed in the Emerging Sources Citation Index (ESCI). It focuses on the application of statistical theory and methods in resolving problems in biological, biomedical, and agricultural sciences. The journal encourages the submission of experimental papers that employ relevant algorithms and also welcomes survey articles in the fields of biostatistics and epidemiology.

Submit Article

BEYOND BINARY: FUZZY PROPORTIONS FOR REAL-WORlD CLINICAL DECISIONS

Authors

  • Félix Almendra-Arao
  • Hortensia Reyes-Cervantes
  • Marcos Morales-Cortes

Keywords:

fuzzy statistics, fuzzy proportions, trapezoidal fuzzy numbers, biostatistics under uncertainty

DOI:

https://doi.org/10.17654/0973514325028

Abstract

This article introduces a fuzzy statistical framework for estimating proportions in biostatistical contexts where observations are imprecise or partially defined. Traditional methods assume binary outcomes, but clinical data often involve diagnostic ambiguity and graded assessments. We model such observations as trapezoidal fuzzy numbers and define a fuzzy proportion estimator based on fuzzy arithmetic. The method is applied to a real-world case study involving depression screening, where physicians express varying levels of diagnostic confidence. Results demonstrate that the fuzzy estimator preserves uncertainty and provides a more expressive summary         than classical point estimates. The proposed approach maintains compatibility with traditional statistics while offering greater interpretability in the presence of vague or subjective data.

Received: June 8, 2025
Accepted: August 26, 2025

References

[1] F. Almendra-Arao, H. Reyes-Cervantes and M. Morales-Cortés, A comparison of some confidence intervals for a binomial proportion based on a shrinkage estimator, Open Mathematics 21(1) (2023).

https://doi.org/10.1515/math-2022-0588.

[2] S. M. Chen and J. C. Hsieh, Fuzzy statistics and confidence intervals for fuzzy-valued data, IEEE Transactions on Systems, Man, and Cybernetics - Part B 30(2) (2000), 263-275. https://doi.org/10.1109/3477.833430.

[3] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, 1980.

[4] P. Grzegorzewski, Distances between fuzzy numbers and their application to the prediction of fuzzy events, Fuzzy Sets and Systems 148(2) (2004), 319-328. https://doi.org/10.1016/j.fss.2004.05.001.

[5] T. L. Saaty, Decision making with the analytic hierarchy process, International Journal of Services Sciences 1(1) (2008), 83-98.

[6] A. Saeidifar and E. Pasha, The possibilistic moments of fuzzy numbers and their applications, J. Comput. Appl. Math. 223(2) (2009), 1028-1042.

[7] V. Torra and Y. Narukawa, Modeling Decisions: Information Fusion and Aggregation Operators, Springer, 2007.

https://doi.org/10.1007/978-3-540-72625-1.

[8] R. R. Yager and D. P. Filev, Essentials of Fuzzy Modeling and Control, Wiley, 1994.

[9] L. A. Zadeh, Fuzzy sets, Information and Control 8(3) (1965), 338-353.

https://doi.org/10.1016/S0019-9958(65)90241-X.

Downloads

Published

2025-09-06

Issue

Vol. 25 No. 3 (2025)

Section

Articles

License

Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

_________________________

Licensing Terms:

Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.

Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Puspha Publishing House for more info or permissions.

How to Cite

BEYOND BINARY: FUZZY PROPORTIONS FOR REAL-WORlD CLINICAL DECISIONS. (2025). JP Journal of Biostatistics, 25(3), 515-531. https://doi.org/10.17654/0973514325028

Similar Articles

1-10 of 20

You may also start an advanced similarity search for this article.