Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

An extended approach to solving multi-criteria decision-making problems; Neu-SECA

Document Type : Original Article

Authors
Madineh Farnam 1
Sara Ahmadi 2
Hadi Basirzadeh 3
1 Shohadaye Hoveizeh Campus of Technology, Shahid Chamran University of Ahvaz, Dasht-e Azadegan, Khuzestan, Iran.
2 Department of Mathematics, Farhangian University, Tehran, Iran.
3 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
10.22034/jfsa.2025.538832.1279
Abstract
The theoretical development from fuzzy sets to neutrosophic sets, through the simultaneous definition of truth, indeterminacy, and falsity functions, provides a more realistic representation of uncertain, contradictory, and independent data. Classical data analysis methods, due to their inherent reliance on deterministic values, prove ineffective when confronting these complexities. The ranking of neutrosophic numbers and the accuracy of their performance, due to their multidimensional nature and computational complexity, present significant challenges in modeling and particularly in solving decision-making problems based on these approaches. Along this path, the present research establishes theoretical foundations and proves novel propositions for a parametric ranking method. Then, in an innovative approach, it utilizes this method as a tool to develop the SECA method in trapezoidal neutrosophic environments, aiming to simultaneously evaluate alternatives and criteria. It is worth noting that among decision-making methods, only a limited number perform both criteria weighting and alternative ranking simultaneously. Furthermore, maximizing each alternative's score and minimizing weights based on the distance from two internal and external criteria, along with the possibility of integrated mathematical modeling, are recognized as prominent advantages of this method. Therefore, for the first time in this study, the extension of the SECA method with modifications under neutrosophic data (Neu-SECA) is investigated. The development of this method and its combination with a logical ranking approach can provide an integrated solution for many case studies while requiring minimal information in decision-making processes. The performance of the proposed method has been validated through solving a numerical example and comparison with reference methods. Findings indicate that the proposed method, using only the initial decision matrix, is capable of weighting criteria and ranking alternatives. Despite differences in details, the top-ranked alternative remains consistent across all methods.
Keywords
SECA method
Neutrosophic set
Trapezoidal neutrosophic number
Multi-criteria decision-making
Subjects
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Fuzzy Systems and its Applications
Volume 8, Issue 2 - Serial Number 17
Open Access Statement
December 2025
Pages 165-200

  • Receive Date 03 August 2025
  • Revise Date 11 October 2025
  • Accept Date 02 November 2025