Abstract
The hierarchical medical treatment system is an efficient way to solve the problem of insufficient and unbalanced medical resources in China. Essentially, classifying the different degrees of diseases according to the doctor’s diagnosis is a key step in pushing forward the hierarchical medical treatment system. This paper proposes a framework to solve the problem where diagnosis values are given as picture fuzzy numbers (PFNs). Point operators can reduce the uncertainty of doctor’s diagnosis and get intensive information in the process of decision making, and the Choquet integral operator can consider correlations among symptoms. In order to take full advantage of these two kinds of operators, in this paper, we firstly define some point operators under the picture fuzzy environment, and further propose a new class of picture fuzzy point–Choquet integral aggregation operators. Moreover, some desirable properties of these operators are also investigated in detail. Then, a novel approach based on these operators for multiattribute decision-making problems in the picture fuzzy context is introduced. Finally, we give an example to illustrate the applicability of the new approach in assisting hierarchical medical treatment system. This is of great significance for integrating the medical resources of the whole society and improving the service efficiency of the medical service system.
Highlights
With increasing environmental issues, lung diseases are becoming a serious health problem inChina
Motivated by the idea of intuitionistic fuzzy point operators [28] and dual hesitant fuzzy point operators [32], we will define a series of picture fuzzy point operations to obtain more intensive information and further analyze some desirable properties of these operations, which are very useful in the remainder of this paper
E = (ω e1, ω e2, · · · ω e m )T, ω e i ∈ [0, 1], ∑im=1 ω e i = 1, the picture fuzzy point–Choquet averaging (PFPCA) operator is of the elements in set A, ω reduced to a picture fuzzy order-weighted averaging (PFOWA) operator defined by Garg [13]
Summary
Lung diseases are becoming a serious health problem in. Some scholars extended the Choquet integral to other fuzzy environments, such as in interval intuitionistic fuzzy information [23], the dual hesitant fuzzy environment [24], the interval-valued intuitionistic hesitant fuzzy environment [19] and the Pythagorean fuzzy environment [25] Point operators are another aggregation tool to reduce the uncertainty of the aggregated arguments and obtain intensive information in the process of decision making. For instance: (1) We need to exactly express fuzzy information, and picture fuzzy numbers (PFNs) can depict doctors’ diagnoses for patients with respect to the symptoms; (2) We need to consider correlations among symptoms, and the Choquet integral operator can be utilized to solve this problem; and (3) We need to reduce the uncertainty of doctor’s diagnosis data and get intensive information when diagnosing diseases.
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