Abstract
With the outbreak of infectious diseases, the hospital provides the hierarchical diagnosis for the chronic disease such as nephropathy is necessary [17]. It can improve the hospital efficiency and save the medical resources [4]. However, the hierarchical diagnosis involves the imprecision, hesitation and ambiguity of the risk information and further decision investigation [15]. In the framework of three-way decision with decision-theoretic rough sets (DTRSs), this chapter utilizes the interval-valued q-rung Orthopair fuzzy sets (IVq-ROFSs) to represent the imprecise and hesitant information and further generalizes IVq-ROFSs to medical diagnosis about nephropathy [11]. For the continuous information, we explore the aggregation of interval continuity of IVq-ROFSs by adopting \(\varepsilon \)-amendment to amend integral region of IVq-ROFSs for removing unmeaning point in advance. Inspired by the similarity class [10], a new equivalence class method is presented to support three-way decision. With the aid of the integral of IVq-ROFSs and equivalence class method, we fuse the loss functions of the equivalence class and obtain the classifying rules of three-way decision by comparing the expected losses, which is used to support the medical diagnosis of nephropathy based on the results of Ref. [11].
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References
Ai, Z.H., Xu, Z.S.: Multiple definite integrals of intuitionistic fuzzy calculus and isomorphic map**s. IEEE Trans. Fuzzy Syst. 26(6), 670–680 (2018)
Gao, J., Xu, Z.S.: Differential calculus of interval-valued \(q\)-rung Orthopair fuzzy functions and their applications. J. Intell. Fuzzy Syst. 34, 3190–3219 (2019)
Gao, J., Liang, Z.L., Xu, Z.S.: Additive integrals of \(q\)-rung Orthopair fuzzy functions. IEEE Trans Cybern 1–14 (2019)
Gou, X.J., Xu, X.R., Deng, F.M., Zhou, W., Herrera-Viedma, E.: Medical health resources allocation evaluation in public health emergencies by an improved ORESTE method with linguistic preference orderings. Fuzzy Optim. Decis. Ma. (2023). https://doi.org/10.1007/s10700-023-09409-3
Hu, Q.H., Yu, D.R., Liu, J.F., Wu, C.X.: Neighborhood rough set based heterogeneous feature subset selection. Inf. Sci. 178(18), 3577–3594 (2008)
Joshi, B.P., Singh, A., Bhatt, P.K., Vaisla, K.S.: Interval valued \(q\)-rung orthopair fuzzy sets and their properties. J. Intell. Fuzzy Syst. 1–6 (2018)
Liu, Z.M., Wang, S., Liu, P.D.: Multiple attribute group decision making based on \(q\)-rung orthopair fuzzy Heronian mean operators. Int. J. Intell. Syst. 33, 2341–2363 (2018)
Liang, D.C., Liu, D.: Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets. Inf. Sci. 300, 28–48 (2015)
Liang, D.C., Liu, D.: A novel risk decision making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE Trans. Fuzzy Syst. 23(2), 237–247 (2015)
Liang, D.C., Xu, Z.S., Liu, D., Wu, Y.: Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information. Inf. Sci. 435, 282–295 (2018)
Liang, D.C., Fu, Y.Y., Xu, Z.S., Tang, W.T.: Loss function information fusion and decision rule deduction of three-way decisions by constructing interval-valued q-rung Orthopair fuzzy integral. IEEE Trans. Fuzzy Syst. 30(9), 3645–3660 (2022)
Qiu, G.F., **ao, X.N.: Research on decision-making of hospitals based three decision. J. Henan Normal Univ. 46(3), 106–111 (2018)
Ren, P.J., Xu, Z.S., Lei, Q.: Simplified interval-valued intuitionistic fuzzy sets with intuitionistic fuzzy numbers. J. Intell. Fuzzy Syst. 30, 2871–2882 (2016)
Shu, X.Q., Ai, Z.H., Xu, Z.S., Ye, J.M.: Integrations of \(q\)-rung orthopair fuzzy continuous information. IEEE Trans. Fuzzy Syst. 27(10), 1974–1985 (2019)
Wen, L., Li, X.Y., Gao, L.: A new two-level hierarchical diagnosis network based on convolutional neural network. IEEE Trans. Instrum. Meas. 69(2), 330–338 (2020)
Wen, M.M., Zhao, H., Xu, Z.S., Lei, Q.: Definite integrals for aggregating continuous interval-valued intuitionistic fuzzy information. Appl. Soft. Comput. 70, 875–895 (2018)
Wu, Q.D., **e, X.Y., Liu, W.B., Wu, Y.: 2Implementation efficiency of the hierarchical diagnosis and treatment system in China: a case study of primary medical and health institutions in Fujian province. Int. J. Health Plann. Manag. 37(1), 214–227 (2022)
Ye, D.J., Liang, D.C., Hu, P.: Three-way decisions with interval-valued intuitionistic fuzzy decision-theoretic rough sets in group decision-making. Symmetry 10(7), 281 (2018)
Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180(3), 341–353 (2010)
Yao, Y.Y.: Three-way decision and granular computing. Int. J. Approx. Reason. 103, 107–123 (2018)
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Liang, D., Xu, Z. (2023). Medical Diagnosis About Nephropathy. In: Interpretable Three-Way Decision with Hesitant Risk Information and Its Healthcare Application. Studies in Fuzziness and Soft Computing, vol 431. Springer, Cham. https://doi.org/10.1007/978-3-031-45501-8_6
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DOI: https://doi.org/10.1007/978-3-031-45501-8_6
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