Neutrosophic and Information Fusion

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Volume 6 , Issue 1 , PP: 01–11, 2026 | Cite this article as | XML | Html | PDF | Full Length Article

Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda

Murat Ozcek 1 * , Arash Salehpour 2

  • 1 Gaziantep University, Department of Mathematics, Gaziantep, Turkey - (muratozcek.12@gmail.com)
  • 2 Department Cybersecurity, University, Istanbul, Türkiye - (arashsalehpour@halic.edu.tr)
  • Doi: https://doi.org/10.54216/NIF.060101

    Received: June 28, 2025 Accepted: September 14, 2025
    Abstract

    Neutrosophic information fusion has become a rigorous computational approach for modeling evidence that is simultaneously supportive, opposing, and unresolved. This review synthesizes recent studies published from 2020 to 2025 and organizes the field around the operational semantics of truth, indeterminacy, and falsity. Rather than presenting neutrosophic sets only as an extension of fuzzy sets, the paper analyzes neutrosophic fusion as a mathematical problem of evidence representation, operator design, source weighting, contradiction control, and decision reduction. The review covers single-valued neutrosophic similarity measures, EDAS and TOPSIS extensions, neutrosophic Z-number aggregation, Einstein and Aczel–Alsina operators, trigonometric credibility operators, dynamic aggregation, divergence measures, uncertainty-aware multi-source information fusion, and evidence theoretic comparisons. A relatedwork section of more than twenty verified 2020–2025 studies is added, followed by a selection protocol, formal definitions, propositions, algorithms, operator-property analysis, and research directions. The paper concludes with a research agenda for benchmark construction, data-driven membership learn-ing, explainable indeterminacy, scalable dynamic fusion, and trustworthy integration of neutrosophic logic with intelligent decision-support systems.

    Keywords :

    Neutrosophic set , Single-valued neutrosophic set , Information fusion , Indeterminacy , Contradiction , Aggregation operator , Decision support , Mathematical review

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    Cite This Article As :
    Ozcek, Murat. , Salehpour, Arash. Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda. Neutrosophic and Information Fusion, vol. , no. , 2026, pp. 01–11. DOI: https://doi.org/10.54216/NIF.060101
    Ozcek, M. Salehpour, A. (2026). Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda. Neutrosophic and Information Fusion, (), 01–11. DOI: https://doi.org/10.54216/NIF.060101
    Ozcek, Murat. Salehpour, Arash. Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda. Neutrosophic and Information Fusion , no. (2026): 01–11. DOI: https://doi.org/10.54216/NIF.060101
    Ozcek, M. , Salehpour, A. (2026) . Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda. Neutrosophic and Information Fusion , () , 01–11 . DOI: https://doi.org/10.54216/NIF.060101
    Ozcek M. , Salehpour A. [2026]. Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda. Neutrosophic and Information Fusion. (): 01–11. DOI: https://doi.org/10.54216/NIF.060101
    Ozcek, M. Salehpour, A. "Truth–Indeterminacy–Falsity Fusion in Neutrosophic Intelligent Systems: A Mathematical Review, Algorithmic Taxonomy, and Research Agenda," Neutrosophic and Information Fusion, vol. , no. , pp. 01–11, 2026. DOI: https://doi.org/10.54216/NIF.060101