Skip to main content
Top
Published in: Granular Computing 1/2024

01-03-2024 | ORIGINAL PAPER

Pythagorean fuzzy aczel-alsina power bonferroni mean operators for multi-attribute decision-making

Authors: Khalida Jabeen, Kifayat Ullah, Witold Pedrycz, Qaisar Khan, Zeeshan Ali, Shy Yin

Published in: Granular Computing | Issue 1/2024

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Pythagorean fuzzy set (PyFS) is an effective model to describe the vagueness and uncertainty of decision-makers. Several novel averaging aggregation operators (AOs) have been formulated by using the PyF environment. The main focus of this article is to explore the unique mathematical model of Aczel-Alsina operational laws (A-AOls) for PyF information. To comprehensively identify the theory of power Bonferroni mean (PBM) operators which is the generalized formation of power average (PA) and Bonferroni mean (BM) operators that tend to reduce the adverse consequences of imprecise predictions and can perform the connections between attributed values. To acquire benefits from PA and BM operators, we utilize (A-AOls) and power Bonferroni AOs (PBAOs) to propose some new AOs such as PyFA-APBM and PyFA-A weighted PBM (PyFA-AWPBM) operators and also elaborate their persuasive particular characteristics. The proposed PyFAAWPBM operators are specifically relevant to improve the accuracy and adaptability of the information integration process by incorporating the AA operational rules Moreover, we provide a methodology for solving multi-attribute decision-making problems (MADM) by using the PyF framework based on the newly developed AOs. Furthermore, a numerical example is provided to demonstrate the efficiency and reliability of the developed AOs. Finally, a comparative analysis is carried out to exhibit the reliability and validity of the suggested strategy.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Ali Z (2022) Decision-Making Techniques Based on Complex Intuitionistic Fuzzy Power Interaction Aggregation Operators and Their Applications. J Innov Res Math Comput Sci 1:107–125 Ali Z (2022) Decision-Making Techniques Based on Complex Intuitionistic Fuzzy Power Interaction Aggregation Operators and Their Applications. J Innov Res Math Comput Sci 1:107–125
go back to reference Ali Z, Mahmood T (2022) Some Dombi aggregation operators based on complex q-rung orthopair fuzzy sets and their application to multi-attribute decision making. Comput Appl Math 41:18MathSciNetCrossRef Ali Z, Mahmood T (2022) Some Dombi aggregation operators based on complex q-rung orthopair fuzzy sets and their application to multi-attribute decision making. Comput Appl Math 41:18MathSciNetCrossRef
go back to reference Ansari MD, Mishra AR, Ansari FT (2018) New divergence and entropy measures for intuitionistic fuzzy sets on edge detection. Int J Fuzzy Syst 20:474–487MathSciNetCrossRef Ansari MD, Mishra AR, Ansari FT (2018) New divergence and entropy measures for intuitionistic fuzzy sets on edge detection. Int J Fuzzy Syst 20:474–487MathSciNetCrossRef
go back to reference Bonferroni C (1950) Sulle medie multiple di potenze. Boll DellUnione Mat Ital 5:267–270MathSciNet Bonferroni C (1950) Sulle medie multiple di potenze. Boll DellUnione Mat Ital 5:267–270MathSciNet
go back to reference Gao H (2018) Pythagorean fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 35:2229–2245CrossRef Gao H (2018) Pythagorean fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 35:2229–2245CrossRef
go back to reference Garg H (2017) Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arab J Sci Eng 42:5275–5290MathSciNetCrossRef Garg H (2017) Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arab J Sci Eng 42:5275–5290MathSciNetCrossRef
go back to reference Garg H (2020) Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. J Ambient Intell Humaniz Comput 11:3021–3041CrossRef Garg H (2020) Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. J Ambient Intell Humaniz Comput 11:3021–3041CrossRef
go back to reference He Y, He Z, Wang G, Chen H (2014) Hesitant fuzzy power Bonferroni means and their application to multiple attribute decision making. IEEE Trans Fuzzy Syst 23:1655–1668CrossRef He Y, He Z, Wang G, Chen H (2014) Hesitant fuzzy power Bonferroni means and their application to multiple attribute decision making. IEEE Trans Fuzzy Syst 23:1655–1668CrossRef
go back to reference Hussain A, Pamucar D (2022) Multi-attribute Group Decision-Making Based on Pythagorean Fuzzy Rough Set and Novel Schweizer-Sklar T-norm and T-conorm. J Innov Res Math Comput Sci 1:1–17 Hussain A, Pamucar D (2022) Multi-attribute Group Decision-Making Based on Pythagorean Fuzzy Rough Set and Novel Schweizer-Sklar T-norm and T-conorm. J Innov Res Math Comput Sci 1:1–17
go back to reference Jabeen K, Khan Q, Ullah K, et al (2023) An Approach to MADM based on Aczel-Alsina Power Bonferroni Aggregation Operators for q-Rung Orthopair Fuzzy Sets. IEEE Access Jabeen K, Khan Q, Ullah K, et al (2023) An Approach to MADM based on Aczel-Alsina Power Bonferroni Aggregation Operators for q-Rung Orthopair Fuzzy Sets. IEEE Access
go back to reference Khan Q, Jabeen K (2022) Schweizer-Sklar Aggregation Operators with Unknown Weight for Picture Fuzzy Information. J Innov Res Math Comput Sci 1:83–106 Khan Q, Jabeen K (2022) Schweizer-Sklar Aggregation Operators with Unknown Weight for Picture Fuzzy Information. J Innov Res Math Comput Sci 1:83–106
go back to reference Liu P, Chen S-M, Wang Y (2020b) Multiattribute group decision making based on intuitionistic fuzzy partitioned Maclaurin symmetric mean operators. Inf Sci 512:830–854MathSciNetCrossRef Liu P, Chen S-M, Wang Y (2020b) Multiattribute group decision making based on intuitionistic fuzzy partitioned Maclaurin symmetric mean operators. Inf Sci 512:830–854MathSciNetCrossRef
go back to reference Liu P, Gao H (2019) Some intuitionistic fuzzy power Bonferroni mean operators in the framework of Dempster-Shafer theory and their application to multicriteria decision making. Appl Soft Comput 85:105790CrossRef Liu P, Gao H (2019) Some intuitionistic fuzzy power Bonferroni mean operators in the framework of Dempster-Shafer theory and their application to multicriteria decision making. Appl Soft Comput 85:105790CrossRef
go back to reference Luo M, Zhao R (2018) A distance measure between intuitionistic fuzzy sets and its application in medical diagnosis. Artif Intell Med 89:34–39CrossRefPubMed Luo M, Zhao R (2018) A distance measure between intuitionistic fuzzy sets and its application in medical diagnosis. Artif Intell Med 89:34–39CrossRefPubMed
go back to reference Mahmood T, Ur Rehman U (2022) A novel approach towards bipolar complex fuzzy sets and their applications in generalized similarity measures. Int J Intell Syst 37:535–567CrossRef Mahmood T, Ur Rehman U (2022) A novel approach towards bipolar complex fuzzy sets and their applications in generalized similarity measures. Int J Intell Syst 37:535–567CrossRef
go back to reference Mahmood T, ur Rehman U, Ali Z, (2023) Analysis and application of Aczel-Alsina aggregation operators based on bipolar complex fuzzy information in multiple attribute decision making. Inf Sci 619:817–833CrossRef Mahmood T, ur Rehman U, Ali Z, (2023) Analysis and application of Aczel-Alsina aggregation operators based on bipolar complex fuzzy information in multiple attribute decision making. Inf Sci 619:817–833CrossRef
go back to reference Meng F, Chen S-M, Yuan R (2020) Group decision making with heterogeneous intuitionistic fuzzy preference relations. Inf Sci 523:197–219MathSciNetCrossRef Meng F, Chen S-M, Yuan R (2020) Group decision making with heterogeneous intuitionistic fuzzy preference relations. Inf Sci 523:197–219MathSciNetCrossRef
go back to reference Peng X, Yang Y (2015) Some results for Pythagorean fuzzy sets. Int J Intell Syst 30:1133–1160CrossRef Peng X, Yang Y (2015) Some results for Pythagorean fuzzy sets. Int J Intell Syst 30:1133–1160CrossRef
go back to reference Qin Y, Qi Q, Scott PJ, Jiang X (2020) An additive manufacturing process selection approach based on fuzzy Archimedean weighted power Bonferroni aggregation operators. Robot Comput-Integr Manuf 64:101926CrossRef Qin Y, Qi Q, Scott PJ, Jiang X (2020) An additive manufacturing process selection approach based on fuzzy Archimedean weighted power Bonferroni aggregation operators. Robot Comput-Integr Manuf 64:101926CrossRef
go back to reference Rahman K, Abdullah S, Hussain F (2021a) Induced generalized Pythagorean fuzzy aggregation operators and their application based on t-norm and t-conorm. Granul Comput 6:887–899CrossRef Rahman K, Abdullah S, Hussain F (2021a) Induced generalized Pythagorean fuzzy aggregation operators and their application based on t-norm and t-conorm. Granul Comput 6:887–899CrossRef
go back to reference Riaz M, Farid HMA (2022) Picture fuzzy aggregation approach with application to third-party logistic provider selection process. Rep Mech Eng 3:227–236CrossRef Riaz M, Farid HMA (2022) Picture fuzzy aggregation approach with application to third-party logistic provider selection process. Rep Mech Eng 3:227–236CrossRef
go back to reference Seikh MR, Mandal U (2021b) Q-rung orthopair fuzzy Frank aggregation operators and its application in multiple attribute decision-making with unknown attribute weights. Granul Comput 1–22 Seikh MR, Mandal U (2021b) Q-rung orthopair fuzzy Frank aggregation operators and its application in multiple attribute decision-making with unknown attribute weights. Granul Comput 1–22
go back to reference Senapati T, Chen G, Mesiar R, Saha A (2022a) Multiple attribute decision making based on Pythagorean fuzzy Aczel-Alsina average aggregation operators. J Ambient Intell Humaniz Comput 1–15 Senapati T, Chen G, Mesiar R, Saha A (2022a) Multiple attribute decision making based on Pythagorean fuzzy Aczel-Alsina average aggregation operators. J Ambient Intell Humaniz Comput 1–15
go back to reference Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making - Liu - 2018 - International Journal of Intelligent Systems - Wiley Online Library. https://onlinelibrary.wiley.com/doi/abs/https://doi.org/10.1002/int.21927. Accessed 11 Mar 2022c Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making - Liu - 2018 - International Journal of Intelligent Systems - Wiley Online Library. https://​onlinelibrary.​wiley.​com/​doi/​abs/​https://​doi.​org/​10.​1002/​int.​21927. Accessed 11 Mar 2022c
go back to reference Ullah K (2021) Picture fuzzy maclaurin symmetric mean operators and their applications in solving multiattribute decision-making problems. Math Probl Eng 2021: Ullah K (2021) Picture fuzzy maclaurin symmetric mean operators and their applications in solving multiattribute decision-making problems. Math Probl Eng 2021:
go back to reference Wang L, Li N (2020) Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making. Int J Intell Syst 35:150–183MathSciNetCrossRef Wang L, Li N (2020) Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making. Int J Intell Syst 35:150–183MathSciNetCrossRef
go back to reference Wei G, Zhang Z (2019) Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Humaniz Comput 10:863–882CrossRef Wei G, Zhang Z (2019) Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Humaniz Comput 10:863–882CrossRef
go back to reference Xu Z, Yager RR (2009) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18:94–105 Xu Z, Yager RR (2009) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18:94–105
go back to reference Zhang Z, Chen S-M, Wang C (2020) Group decision making with incomplete intuitionistic multiplicative preference relations. Inf Sci 516:560–571MathSciNetCrossRef Zhang Z, Chen S-M, Wang C (2020) Group decision making with incomplete intuitionistic multiplicative preference relations. Inf Sci 516:560–571MathSciNetCrossRef
go back to reference Zhou W, Guo Q, Lei J, et al (2021) IRFR-Net: Interactive recursive feature-reshaping network for detecting salient objects in RGB-D images. IEEE Trans Neural Netw Learn Syst Zhou W, Guo Q, Lei J, et al (2021) IRFR-Net: Interactive recursive feature-reshaping network for detecting salient objects in RGB-D images. IEEE Trans Neural Netw Learn Syst
go back to reference Zou X-Y, Chen S-M, Fan K-Y (2020) Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values. Inf Sci 535:242–253MathSciNetCrossRef Zou X-Y, Chen S-M, Fan K-Y (2020) Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values. Inf Sci 535:242–253MathSciNetCrossRef
Metadata
Title
Pythagorean fuzzy aczel-alsina power bonferroni mean operators for multi-attribute decision-making
Authors
Khalida Jabeen
Kifayat Ullah
Witold Pedrycz
Qaisar Khan
Zeeshan Ali
Shy Yin
Publication date
01-03-2024
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 1/2024
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-023-00428-4

Other articles of this Issue 1/2024

Granular Computing 1/2024 Go to the issue

Premium Partner