A Trapezoidal Fermatean Fuzzy Decision‑Making Framework Using Aczel‑Alsina Operators for Disaster Management

Authors

  • Kaviyarasu Murugan Department of mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, India Author https://orcid.org/0000-0002-4709-1857
  • Angel John Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, India Author https://orcid.org/0009-0009-8089-4772
  • Nasreen Kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145, Balikesir, Turkey Department of Computer Engineering, Biruni University, Istanbul, Turkey Author https://orcid.org/0000-0002-8659-0747
  • Akbota Nurgaliyeva Korkyt Ata Kyzylorda University. Aiteke Bi street 29A, Kyzylorda, Kazakhstan Author https://orcid.org/0009-0006-9378-6824
  • Hasan Dincer School of Business, Istanbul Medipol University, Istanbul, Turkey Clinic of Economics, Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan University College, Korea University, Seoul, Republic of Korea Author https://orcid.org/0000-0002-8072-031X
  • Serhat Yuksel School of Business, Istanbul Medipol University, Istanbul, Turkey Clinic of Economics, Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan Department of Economics and Management, Khazar University, Baku, Azerbaijan Author https://orcid.org/0000-0002-9858-1266

DOI:

https://doi.org/10.31181/jopi41202685

Keywords:

Trapezoidal‑valued Fermatean fuzzy sets, Aczel‑Alsina operators, TOPSIS method, Disaster relief allocation

Abstract

This paper introduces trapezoidal-valued Fermatean fuzzy (TpVFF) numbers based on the Aczel-Alsina (AA) t-norm and t-conorm operations. New operational laws, including addition, multiplication, and scalar multiplication, are defined. Based on these operations, several geometric aggregation operators, including weighted, ordered weighted, and hybrid operators, are developed, and their fundamental properties are established. A TOPSIS-based multi-criteria group decision-making method is proposed within the developed framework. An illustrative disaster relief allocation problem using the TpVFF-TOPSIS framework demonstrates the applicability of the proposed approach. Sensitivity and Monte Carlo analyses are conducted to examine variations in the decision results under changes in the AA parameter and criterion weights. The results indicate that the ranking is sensitive to changes in the AA parameter and criterion weights, although it remains unchanged in a substantial proportion of the tested scenarios.

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Published

2026-10-08

Issue

Vol. 4 No. 1 (2026): Journal of Operations Intelligence

Section

Articles

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Copyright (c) 2026 Kaviyarasu Murugan, Angel John, Nasreen Kausar, Akbota Nurgaliyeva, Hasan Dincer, Serhat Yuksel (Author)

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

How to Cite

Murugan, K., John, A., Kausar, N., Nurgaliyeva, A., Dincer, H., & Yuksel, S. (2026). A Trapezoidal Fermatean Fuzzy Decision‑Making Framework Using Aczel‑Alsina Operators for Disaster Management. Journal of Operations Intelligence, 4(1), 129-161. https://doi.org/10.31181/jopi41202685