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Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process

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  • Harish Garg

    (Thapar University)

Abstract

Pythagorean fuzzy set, an extension of the intuitionistic fuzzy set which relax the condition of sum of their membership function to square sum of its membership functions is less than one. Under these environment and by incorporating the idea of the confidence levels of each Pythagorean fuzzy number, the present study investigated a new averaging and geometric operators namely confidence Pythagorean fuzzy weighted and ordered weighted operators along with their some desired properties. Based on its, a multi criteria decision-making method has been proposed and illustrated with an example for showing the validity and effectiveness of it. A computed results are compared with the aid of existing results.

Suggested Citation

  • Harish Garg, 2017. "Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 546-571, December.
    • Handle: RePEc:spr:comaot:v:23:y:2017:i:4:d:10.1007_s10588-017-9242-8
    DOI: 10.1007/s10588-017-9242-8
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    References listed on IDEAS

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    1. Dejian Yu, 2015. "A scientometrics review on aggregation operator research," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(1), pages 115-133, October.
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    Cited by:

    1. K. Rahman & A. Ali & S. Abdullah & F. Amin, 2018. "Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Aggregation Operator," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 343-361, November.
    2. Xiumei Deng & Jie Wang & Guiwu Wei & Mao Lu, 2018. "Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators," Mathematics, MDPI, vol. 6(11), pages 1-28, October.
    3. Mingyue Shi & Rong Jiang & Xiaohan Hu & Jingwei Shang, 2020. "A privacy protection method for health care big data management based on risk access control," Health Care Management Science, Springer, vol. 23(3), pages 427-442, September.
    4. Tanuja Punetha & Komal, 2024. "Confidence Picture fuzzy hybrid aggregation operators and its application in multi criteria group decision making," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1404-1440, September.
    5. Zeeshan Ali & Tahir Mahmood & Gustavo Santos-García, 2021. "Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 9(21), pages 1-37, October.
    6. Zeng, Shouzhen & Zhang, Na & Zhang, Chonghui & Su, Weihua & Carlos, Llopis-Albert, 2022. "Social network multiple-criteria decision-making approach for evaluating unmanned ground delivery vehicles under the Pythagorean fuzzy environment," Technological Forecasting and Social Change, Elsevier, vol. 175(C).
    7. Zengxian Li & Guiwu Wei & Hui Gao, 2018. "Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(11), pages 1-27, October.
    8. Jianping Lu & Tingting He & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method," IJERPH, MDPI, vol. 17(6), pages 1-21, March.
    9. Gulfam Shahzadi & Muhammad Akram & Ahmad N. Al-Kenani, 2020. "Decision-Making Approach under Pythagorean Fuzzy Yager Weighted Operators," Mathematics, MDPI, vol. 8(1), pages 1-20, January.
    10. Jie Wang & Guiwu Wei & Hui Gao, 2018. "Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(10), pages 1-45, October.

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