Multiattribute group decision-making based on linguistic Pythagorean fuzzy interaction partitioned Bonferroni mean aggregation operators
type: Item
instance of: scholarly article
title: Multiattribute group decision-making based on linguistic Pythagorean fuzzy interaction partitioned Bonferroni mean aggregation operators
zbMATH Open document ID: 1457.91151
DOI: 10.1155/2018/9531064
author: Mingwei Lin
author: Jiuhan Wei
author: Riqing Chen
author: Zeshui Xu
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: The partitioned Bonferroni mean (PBM) operator can efficiently aggregate inputs, which are divided into parts based on their interrelationships. To date, it has not been used to aggregate linguistic Pythagorean fuzzy numbers (LPFNs). In this paper, we extend the PBM operator and partitioned geometric Bonferroni mean (PGBM) operator to the linguistic Pythagorean fuzzy sets (LPFSs) and use them to develop a novel multiattribute group decision-making model under the linguistic Pythagorean fuzzy environment. We first define some novel operational laws for LPFNs, which take into consideration the interactions between the membership degree (MD) and nonmembership degree (NMD) from two different LPFNs. Based on these novel operational laws, we put forward the interaction PBM (LPFIPBM) operator, the weighted interaction PBM (LPFWIPBM) operator, the interaction PGBM (LPFIPGBM) operator, and the weighted interaction PGBM (LPFWIPGBM) operator. Then, we study some properties of these proposed operators and discuss their special cases. Based on the proposed LPFWIPBM and LPFWIPGBM operators, a novel multiattribute group decision-making model is developed to process the linguistic Pythagorean fuzzy information. Finally, some illustrative examples are introduced to compare our proposed methods with the existing ones.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 91B86
Mathematics Subject Classification ID: 91F20
zbMATH DE Number: 7025019
zbMATH Keywords: linguistic Pythagorean fuzzy numbers
zbMATH Keywords: Bonferroni mean operator
zbMATH Keywords: multiattribute group decision-making
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9531064
OpenAlex ID: W2899115505
Wikidata QID: Q114070535
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description: scientific article; zbMATH DE number 7025019