Some generalized Pythagorean fuzzy Bonferroni mean aggregation operators with their application to multiattribute group decision-making
type: Item
instance of: scholarly article
title: Some generalized Pythagorean fuzzy Bonferroni mean aggregation operators with their application to multiattribute group decision-making
zbMATH Open document ID: 1375.91062
DOI: 10.1155/2017/5937376
author: Runtong Zhang
author: Jun Wang
author: Xiaomin Zhu
author: Meimei Xia
author: Ming Yu
published in: Complexity
publication date: 2017-10-26T00:00:00Z
review text: Summary: The Pythagorean fuzzy set as an extension of the intuitionistic fuzzy set characterized by membership and nonmembership degrees has been introduced recently. Accordingly, the square sum of the membership and nonmembership degrees is a maximum of one. The Pythagorean fuzzy set has been previously applied to multiattribute group decision-making. This study develops a few aggregation operators for fusing the Pythagorean fuzzy information, and a novel approach to decision-making is introduced based on the proposed operators. First, we extend the generalized Bonferroni mean to the Pythagorean fuzzy environment and introduce the generalized Pythagorean fuzzy Bonferroni mean and the generalized Pythagorean fuzzy Bonferroni geometric mean. Second, a new generalization of the Bonferroni mean, namely, the dual generalized Bonferroni mean, is proposed by considering the shortcomings of the generalized Bonferroni mean. Furthermore, we investigate the dual generalized Bonferroni mean in the Pythagorean fuzzy sets and introduce the dual generalized Pythagorean fuzzy Bonferroni mean and dual generalized Pythagorean fuzzy Bonferroni geometric mean. Third, a novel approach to multiattribute group decision-making based on proposed operators is proposed. Lastly, a numerical instance is provided to illustrate the validity of the new approach.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 62C86
zbMATH DE Number: 6798520
zbMATH Keywords: Pythagorean fuzzy set
zbMATH Keywords: intuitionistic fuzzy set
zbMATH Keywords: multiattribute group decision-making
zbMATH Keywords: generalized Bonferroni mean
Wikidata QID: Q59142922
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5937376
OpenAlex ID: W2739534728
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DBLP publication ID: journals/complexity/ZhangWZXY17
description: scientific article; zbMATH DE number 6798520