research-article

Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making

Authors:

Na LiAuthors Info & Claims

International Journal of Intelligent Systems, Volume 35, Issue 1

Pages 150 - 183

https://doi.org/10.1002/int.22204

Published: 20 November 2019 Publication History

Abstract

The power Bonferroni mean (PBM) operator can relieve the influence of unreasonable aggregation values and also capture the interrelationship among the input arguments, which is an important generalization of power average operator and Bonferroni mean operator, and Pythagorean fuzzy set is an effective mathematical method to handle imprecise and uncertain information. In this paper, we extend PBM operator to integrate Pythagorean fuzzy numbers (PFNs) based on the interaction operational laws of PFNs, and propose Pythagorean fuzzy interaction PBM operator and weighted Pythagorean fuzzy interaction PBM operator. These new Pythagorean fuzzy interaction PBM operators can capture the interactions between the membership and nonmembership function of PFNs and retain the main merits of the PBM operator. Then, we analyze some desirable properties and particular cases of the presented operators. Further, a new multiple attribute decision making method based on the proposed method has been presented. Finally, a numerical example concerning the evaluation of online payment service providers is provided to illustrate the validity and merits of the new method by comparing it with the existing methods.

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Published In

cover image International Journal of Intelligent Systems

International Journal of Intelligent Systems Volume 35, Issue 1

January 2020

213 pages

ISSN:0884-8173

DOI:10.1002/int.v35.1

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© 2019 Wiley Periodicals, Inc.

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John Wiley and Sons Ltd.

United Kingdom

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Published: 20 November 2019

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https://dl.acm.org/doi/10.1109/TCE.2024.3395299
Zaidan BIbrahim HMourad NZaidan APilehkouhic HQahtan SDeveci MDelen D(2024)An in-depth analysis of ensemble multi-criteria decision makingApplied Soft Computing10.1016/j.asoc.2024.112267167:PAOnline publication date: 1-Dec-2024
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Wang DLiu JLin QYu H(2024)A decision-making system based on case-based reasoning for predicting stroke rehabilitation demands in heterogeneous information environmentApplied Soft Computing10.1016/j.asoc.2024.111358154:COnline publication date: 1-Mar-2024
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Kamber EAydoğmuş UYumurtacı Aydoğmuş HGümüş MKahraman C(2024)Prioritization of drip-irrigation pump alternatives in agricultural applicationsApplied Soft Computing10.1016/j.asoc.2024.111308154:COnline publication date: 1-Mar-2024
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Ruan CChen XZeng SAli SAlmutairi B(2024)Fermatean fuzzy power Bonferroni aggregation operators and their applications to multi-attribute decision-makingSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-09363-728:1(191-203)Online publication date: 1-Jan-2024
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Wang WFeng Y(2023)Pythagorean fuzzy multi-attribute decision making approach with incomplete weight informationProcedia Computer Science10.1016/j.procs.2023.07.034221:C(245-252)Online publication date: 1-Jan-2023
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