Purpose

The purpose of the development of the paper is to construct probabilistic interval-valued hesitant fuzzy Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) model and to improve some preliminary aggregation operators such as probabilistic interval-valued hesitant fuzzy averaging (PIVHFA) operator, probabilistic interval-valued hesitant fuzzy geometric (PIVHFG) operator, probabilistic interval-valued hesitant fuzzy weighted averaging (PIVHFWA) operator, probabilistic interval-valued hesitant fuzzy ordered weighted averaging (PIVHFOWA) operator, probabilistic interval-valued hesitant fuzzy weighted geometric (PIVHFWG) operator and probabilistic interval-valued hesitant fuzzy ordered weighted geometric (PIVHFOWG) operator to cope with multicriteria group decision-making (MCGDM) problems in an efficient manner.

Design/methodology/approach

(1) To design probabilistic interval-valued hesitant fuzzy TOPSIS model. (2) To improve some of the existing aggregation operators. (3) To propose the Hamming distance, Euclidean distance, Hausdorff distance and generalized distance between probabilistic interval-valued hesitant fuzzy sets (PIVHFSs).

Findings

The results of the proposed model are discussed in comparison with the aggregation-based method from the related literature and found the effectiveness of the proposed model and improved aggregation operators.

Practical implications

A case study concerning the healthcare facilities in public hospital is addressed.

Originality/value

The notion of the proposed distance measure is used as rational tool to extend TOPSIS model for probabilistic interval-valued hesitant fuzzy setting.

中文翻译：

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概率区间值犹豫模糊集的距离测度和TOPSIS模型：在公立医院医疗机构中的应用

目的

开发本文的目的是构建概率区间值犹豫模糊技术，通过与理想解相似的顺序偏好（TOPSIS）模型，并改进一些初步聚合算子，如概率区间值犹豫模糊平均（PIVHFA）算子，概率区间值犹豫模糊几何（PIVHFG）算子，概率区间值犹豫模糊加权平均（PIVHFWA）算子，概率区间值犹豫模糊有序加权平均（PIVHFOWA）算子，概率区间值犹豫模糊加权几何（ PIVHFWG) 算子和概率区间值犹豫模糊有序加权几何 (PIVHFOWG) 算子以有效的方式处理多准则群决策 (MCGDM) 问题。

设计/方法/方法

(1) 设计概率区间值犹豫模糊TOPSIS模型。(2) 改进一些现有的聚合算子。(3)提出了概率区间值犹豫模糊集(PIVHFSs)之间的汉明距离、欧氏距离、豪斯多夫距离和广义距离。

发现

将所提出模型的结果与相关文献中基于聚合的方法进行了比较，并发现了所提出模型的有效性和改进的聚合算子。

实际影响

讨论了一个关于公立医院医疗设施的案例研究。

原创性/价值

所提出的距离度量的概念被用作扩展概率区间值犹豫模糊设置的 TOPSIS 模型的合理工具。