Volume 5 , Issue 1 , PP: 01-14, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Jeong Chan Park 1 * , Sajid Khan 2
Doi: https://doi.org/10.54216/NIF.050101
Reliable early detection of cardiovascular disease requires integrating multiple clinical indicators under conditions of uncertainty, partial measurement, and inconsistent expert knowledge. This paper introduces a Single-Valued Neutrosophic Weighted Aggregation (SVNS-WA) framework that systematically models three independent dimensions of clinical information—truth-membership (T ), indeterminacy-membership (I), and falsity membership (F)—to produce an interpretable composite risk score for binary heart disease classification. Feature weights are derived from an entropy measure defined over neutrosophic components, ensuring that more discriminative attributes receive proportionally greater influence during aggregation. A score function S(x) = (2 + Tagg − Iagg −Fagg)/3 maps each aggregated neutro-sophic value to the unit interval, and an optimal decision threshold is identified via Youden’s J statistic. Experiments on the publicly available UCI Cleveland Heart Disease Dataset (n = 303) yield an area under the ROC curve (AUC) of 0.765 and a sensitivity of 83.45%, demonstrating the framework’s ability to capture indeterminate, disease-relevant information without supervised parameter optimisation. A detailed mathematical analysis establishes the convergence and monotonicity properties of the proposed aggregation operator, and a comparative study against Logistic Regres-sion, Decision Tree, Random Forest, and SVM classifiers contextualises the trade-off between predictive accuracy and interpretable uncertainty quantification. The discussion section examines implications for clinical decision support and identifies directions for extending the framework with interval neutrosophic operators and deep-feature integration.
Neutrosophic sets , Single-valued neutrosophic sets , Information fusion , Weighted aggregation operator , Medical diagnosis , Heart disease , Decision support , Entropy-based weighting , Uncertainty quantification
[1] Andras Janosi, William Steinbrunn, Matthias Pfisterer, and Robert Detrano. UCI machine learning repository: Heart disease dataset. https://archive.ics.uci.edu/ml/datasets/heart+ disease, 1988. Cleveland Clinic Foundation. Accessed 2023.
[2] Atiqe Ur Rahman, Muhammad Saeed, Mazin Abed Mohammed, Mustafa Musa Jaber, and Begonya Garcia-Zapirain. A novel fuzzy parameterized fuzzy hypersoft set and Riesz summability approach based decision support system for diagnosis of heart diseases. Diagnostics, 12(7):1546, 2022. doi: 10.3390/diagnostics12071546.
[3] Atiqe Ur Rahman, Muhammad Saeed, Mazin Abed Mohammed, Sujatha Krishnamoorthy, Seifedine Kadry, and Fatma Eid. An integrated algorithmic MADM approach for heart diseases’ diagnosis based on neutrosophic hypersoft set with possibility degree-based setting. Life, 12(5):729, 2022. doi: 10.3390/life12050729.
[4] Florentin Smarandache. Neutrosophy: Neutrosophic Probability, Set, and Logic. American Research Press, Rehoboth, NM, 1998.
[5] Haibin Wang, Florentin Smarandache, Yanqing Zhang, and Rajshekhar Sunderraman. Single valued neutrosophic sets. Multispace and Multistructure, 4:410–413, 2010.
[6] Harish Garg and Nancy. Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure. AIMS Mathematics, 5(3):2671–2693, 2020. doi: 10.3934/math.2020173.
[7] Jun Ye and Shigui Du. Some distances, similarity and entropy measures for interval-valued neutrosophic sets and their relationship. International Journal of Machine Learning and Cybernetics, 10(2): 347–355, 2019. doi: 10.1007/s13042-017-0719-z.
[8] Lotfi A. Zadeh. Fuzzy sets. Information and Control, 8(3):338–353, 1965. doi: 10.1016/ S0019-9958(65)90241-X.
[9] Mumtaz Ali, Le Hoang Son, Irfan Deli, and Nguyen Dang Tien. Bipolar neutrosophic soft sets and applications in decision making. Journal of Intelligent & Fuzzy Systems, 33(6):4077–4087, 2017. doi: 10.3233/JIFS-17999.
[10] Muhammad Ihsan, Muhammad Saeed, Agaeb Mahal Alanzi, and Hamiden El-Wahed Khalifa. An algorithmic multiple attribute decision-making method for heart problem analysis under neutrosophic hypersoft expert set with fuzzy parameterized degree-based setting. PeerJ Computer Science, 9:e1607, 2023. doi: 10.7717/peerj-cs.1607.
[11] Muhammad Kamran, Nadeem Salamat, Shahzaib Ashraf, Md. Ashraful Alam, and Ismail Naci Cangul. Novel decision modeling for manufacturing sustainability under single-valued neutrosophic hesitant fuzzy rough aggregation information. Computational Intelligence and Neuroscience, 2022: 7924094, 2022. doi: 10.1155/2022/7924094.
[12] Xiaochun Luo, Zilong Wang, Liguo Yang, Lin Lu, and Song Hu. Sustainable supplier selection based on VIKOR with single-valued neutrosophic sets. PLoS ONE, 18(9):e0290093, 2023. doi: 10.1371/journal.pone.0290093.