-
CiteScore
-
Impact Factor
Volume 1, Issue 1, IECE Transactions on Advanced Fuzzy Systems
Volume 1, Issue 1, 2025
Submit Manuscript Edit a Special Issue
Article QR Code
Article QR Code
Scan the QR code for reading
Popular articles
IECE Transactions on Advanced Fuzzy Systems, Volume 1, Issue 1, 2025: 1-3

Open Access | Editorial | 31 May 2025
Toward Multi-Dimensional Definitions of Fuzzy Sets
1 Deparment of Industrial Engineering, Istanbul Technical University, 34367 Macka, Besiktas, Istanbul, Turkey
* Corresponding Author: Cengiz Kahraman, [email protected]
Received: 30 May 2025, Accepted: 30 May 2025, Published: 31 May 2025  
Abstract
This inaugural editorial outlines the evolution of fuzzy set theory from one-dimensional to multi-dimensional frameworks. It highlights key extensions—such as intuitionistic, Pythagorean, and spherical fuzzy sets—and their growing role in modeling uncertainty with greater flexibility. The editorial sets the stage for the IECE Transactions on Advanced Fuzzy Systems, a new journal dedicated to publishing high-quality research on fuzzy set theory and its advanced extensions.

Graphical Abstract
Toward Multi-Dimensional Definitions of Fuzzy Sets

Keywords
advanced fuzzy systems
fuzzy set extensions
multi-dimensional membership

Data Availability Statement
Not applicable.

Funding
This work was supported without any funding.

Conflicts of Interest
The author declare no conflicts of interest.

Ethical Approval and Consent to Participate
Not applicable.

References
  1. Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.
    [CrossRef]   [Google Scholar]
  2. Atanassov, K. (1999). Intuitionistic fuzzy sets: theory and applications. Heidelberg, New York. Physica-Verlag.
    [Google Scholar]
  3. Bolturk, E., & Kahraman, C. (2021). Fuzzy sets and extensions: A literature review. Toward Humanoid Robots: The Role of Fuzzy Sets: A Handbook on Theory and Applications, 27-95.
    [CrossRef]   [Google Scholar]
  4. Cuong, B. C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409-409.
    [CrossRef]   [Google Scholar]
  5. Kahraman, C. (2024). Proportional picture fuzzy sets and their AHP extension: Application to waste disposal site selection. Expert Systems with Applications, 238, 122354.
    [CrossRef]   [Google Scholar]
  6. Kahraman, C. (2024). Proportional fuzzy set extensions and imprecise proportions. Informatica, 35(2), 311-339.
    [Google Scholar]
  7. Kahraman, C., & Kutlu Gündoğdu, F. (2018, September 24–26). From 1D to 3D membership: Spherical fuzzy sets. Paper presented at BOS/SOR 2018 – Polish Operational and Systems Research Society Conference, Palais Staszic, Warsaw, Poland.
    [Google Scholar]
  8. Smarandache, F. (1998). Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis.
    [Google Scholar]
  9. Torra, V. (2010). Hesitant fuzzy sets. International journal of intelligent systems, 25(6), 529-539.
    [CrossRef]   [Google Scholar]
  10. Yager, R. R. (2016). Generalized orthopair fuzzy sets. IEEE transactions on fuzzy systems, 25(5), 1222-1230.
    [CrossRef]   [Google Scholar]
  11. Yager, R. R. (2013, June). Pythagorean fuzzy subsets. In 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS) (pp. 57-61). IEEE.
    [CrossRef]   [Google Scholar]
  12. Atanassov, K. T., & Atanassov, K. T. (1999). Intuitionistic fuzzy sets (pp. 1-137). Physica-Verlag HD.
    [Google Scholar]
  13. Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning—I. Information sciences, 8(3), 199-249.
    [CrossRef]   [Google Scholar]
  14. Senapati, T., & Yager, R. R. (2020). Fermatean fuzzy sets. Journal of ambient intelligence and humanized computing, 11, 663-674.
    [CrossRef]   [Google Scholar]
  15. Cebi, S., Gündoğdu, F. K., & Kahraman, C. (2023). Consideration of reciprocal judgments through decomposed fuzzy analytical hierarchy process: a case study in the pharmaceutical industry. Applied Soft Computing, 134, 110000.
    [CrossRef]   [Google Scholar]
  16. Alkan, N., & Kahraman, C. (2023). Continuous intuitionistic fuzzy sets (CINFUS) and their AHP&TOPSIS extension: Research proposals evaluation for grant funding. Applied Soft Computing, 145, 110579.
    [CrossRef]   [Google Scholar]

Cite This Article
APA Style
Kahraman, C. (2025). Toward Multi-Dimensional Definitions of Fuzzy Sets. IECE Transactions on Advanced Fuzzy Systems, 1(1), 1–3. https://doi.org/10.62762/TAFS.2025.479363

Article Metrics
Citations:

Crossref

0

Scopus

0

Web of Science

0
Article Access Statistics:
Views: 84
PDF Downloads: 15

Publisher's Note
IECE stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions
CC BY Copyright © 2025 by the Author(s). Published by Institute of Emerging and Computer Engineers. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
IECE Transactions on Advanced Fuzzy Systems

IECE Transactions on Advanced Fuzzy Systems

ISSN: request pending (Online) | ISSN: request pending (Print)

Email: [email protected]

Portico

Portico

All published articles are preserved here permanently:
https://www.portico.org/publishers/iece/

Copyright © 2025 Institute of Emerging and Computer Engineers Inc.