Multiple attribute decision making based on hesitant fuzzy Einstein geometric aggregation operators
type: Item
instance of: scholarly article
title: Multiple attribute decision making based on hesitant fuzzy Einstein geometric aggregation operators
zbMATH Open document ID: 1407.62048
DOI: 10.1155/2014/745617
author: Xiaoqiang Zhou
author: Qingguo Li
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWG\(_{\varepsilon})\) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWG\(_{\varepsilon})\) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWG\(_{\varepsilon}\) operator to solve the hesitant fuzzy decision making problems.
Mathematics Subject Classification ID: 62C86
Mathematics Subject Classification ID: 47S40
zbMATH DE Number: 7010735
MaRDI profile type: Publication
Wikidata QID: Q59052177
full work available at URL: https://doi.org/10.1155/2014/745617
OpenAlex ID: W1971888400
description: scientific article; zbMATH DE number 7010735