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

Jawad Ali (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan) (Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan)
Zia Bashir (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Tabasam Rashid (Lahore University of Management Sciences, Lahore, Pakistan)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 24 March 2021

Issue publication date: 3 January 2022

290

Abstract

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.

Keywords

Citation

Ali, J., Bashir, Z. and Rashid, T. (2022), "On distance measure and TOPSIS model for probabilistic interval-valued hesitant fuzzy sets: application to healthcare facilities in public hospitals", Grey Systems: Theory and Application, Vol. 12 No. 1, pp. 197-229. https://doi.org/10.1108/GS-07-2020-0092

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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