Neutrosophic and Information Fusion

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Volume 5 , Issue 1 , PP: 15–24, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification

Samandarboy Sulaymanov 1 * , Maha Ibrahim 2

  • 1 Tashkent state university of economics, Uzbekistan - (sulaymanovsamandarboy@gmail.com)
  • 2 Tashkent state university of economics, Uzbekistan - (maha.ahmed860@hgmail.com)
  • Doi: https://doi.org/10.54216/NIF.050102

    Received: December 31, 2024 Accepted: February 28, 2025
    Abstract

    Multi-source decision systems require a representation in which supportive evidence, contradictory evidence, and weak evidence are not collapsed into the same numerical channel. This paper develops a dynamic reliability-kernel model for single-valued neutrosophic evidence fusion. Given a matrix of source signals, each source is transformed into a single-valued neutrosophic triplet whose truth, indeterminacy, and falsity memberships are governed by signed evidence strength. A time-varying reliability kernel then assigns larger mass to sources with lower recent instability, and a dispersion-augmented fusion operator produces a global neutrosophic state. The final decision rule is formulated as a penalized neutrosophic score and as a regularized probabilistic classifier over the fused triplet. The model is evaluated on a public weekly stock dataset containing six technology-market sources. The results show that the proposed representation achieves competitive chronological classification performance while providing explicit mathematical control over indeterminacy, disagreement, and reliability. Ablation and penalty-sensitivity analyses demonstrate that indeterminacy is a functional component of the decision model rather than a cosmetic label. The paper offers a reproducible mathematical framework for neutrosophic information fusion in uncertain intelligent decision-support systems.

    Keywords :

    Single-valued neutrosophic sets , Neutrosophic evidence fusion , Reliability kernel , Indeterminacy penalty , Multi-source classification , Uncertainty-aware decision support

    References

    [1] Chen, X., Zhang,W., Xu, X., & Cao,W. (2022). A public and large-scale expert information fusion method and its application: Mining public opinion via sentiment analysis and measuring public dynamic reliability. Information Fusion, 78, 71–85. https://doi.org/10.1016/j.inffus.2021.09.015

     

    [2] Farid, H. M. A., & Riaz, M. (2022). Single-valued neutrosophic Einstein interactive aggregation operators with applications for material selection in engineering design: Case study of cryogenic storage tank. Complex & Intelligent Systems, 8, 2131–2149. https://doi.org/10.1007/s40747-021-00626-0

     

    [3] Farid, H. M. A., & Riaz, M. (2023). Single-valued neutrosophic dynamic aggregation information with time sequence preference for IoT technology in supply chain management. Engineering Applications of Artificial Intelligence, 126, Article 106940. https://doi.org/10.1016/j.engappai.2023.106940

     

    [4] Jiao, L., & Pan, Q. (2024). Advances in uncertain information fusion. Entropy, 26(11), Article 945. https://doi.org/10.3390/e26110945

     

    [5] Lavanya, K. G., Dhanalakshmi, P., & Nandhini, M. (2024). Neutrosophic fusion of multimodal brain images: Integrating neutrosophic entropy and feature extraction. Applied Soft Computing, 155, Article 111462. https://doi.org/10.1016/j.asoc.2024.111462

     

    [6] Meng, T., Jing, X., Yan, Z., & Pedrycz, W. (2020). A survey on machine learning for data fusion. Information Fusion, 57, 115–129. https://doi.org/10.1016/j.inffus.2019.12.001

     

    [7] Plotly Technologies Inc. (2019). Plotly Express built-in stocks dataset [Data set].

     

    [8] Shaik, T., Tao, X., Li, L., Xie, H., & Velasquez, J. D. (2024). A survey of multimodal information fusion for smart healthcare: Mapping the journey from data to wisdom. Information Fusion, 102, Article 102040. https://doi.org/10.1016/j.inffus.2023.102040

     

    [9] Wajid, M. A., Zafar, A., Terashima-Marin, H., & Wajid, M. S. (2023). Neutrosophic-CNN-based image and text fusion for multimodal classification. Journal of Intelligent & Fuzzy Systems, 45(1), 1039–1052. https://doi.org/10.3233/JIFS-223752

     

    [10] Yang, X., et al. (2024). A three-way decision method on multi-scale single-valued neutrosophic decision systems. Artificial Intelligence Review. https://doi.org/10.1007/s10462-024-10733-2

     

    [11] Zeng, Y., Ren, H., Yang, T., Xiao, S., & Xiong, N. (2022). A novel similarity measure of single-valued neutrosophic sets based on modified Manhattan distance and its applications. Electronics, 11(6), Article 941. https://doi.org/10.3390/electronics11060941

    Cite This Article As :
    Sulaymanov, Samandarboy. , Ibrahim, Maha. Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion, vol. , no. , 2025, pp. 15–24. DOI: https://doi.org/10.54216/NIF.050102
    Sulaymanov, S. Ibrahim, M. (2025). Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion, (), 15–24. DOI: https://doi.org/10.54216/NIF.050102
    Sulaymanov, Samandarboy. Ibrahim, Maha. Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion , no. (2025): 15–24. DOI: https://doi.org/10.54216/NIF.050102
    Sulaymanov, S. , Ibrahim, M. (2025) . Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion , () , 15–24 . DOI: https://doi.org/10.54216/NIF.050102
    Sulaymanov S. , Ibrahim M. [2025]. Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification. Neutrosophic and Information Fusion. (): 15–24. DOI: https://doi.org/10.54216/NIF.050102
    Sulaymanov, S. Ibrahim, M. "Dynamic Reliability Kernels for Single-Valued Neutrosophic Evidence Fusion: A Mathematical Model for Multi-Source Market-State Classification," Neutrosophic and Information Fusion, vol. , no. , pp. 15–24, 2025. DOI: https://doi.org/10.54216/NIF.050102