On distance measure and TOPSIS model for probabilistic interval-valued hesitant fuzzy sets: application to healthcare facilities in public hospitals

被引:24
作者
Ali, Jawad [1 ,2 ]
Bashir, Zia [1 ]
Rashid, Tabasam [3 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Kohat Univ Sci & Technol, Inst Numer Sci, Kohat, Pakistan
[3] Lahore Univ Management Sci, Lahore, Pakistan
关键词
Probabilistic interval-valued hesitant fuzzy sets; Aggregation operators; Distance measure; Multiple criteria group decision-making; TOPSIS;
D O I
10.1108/GS-07-2020-0092
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:197 / 229
页数:33
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