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Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making

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  • Guiwu Wei

    (Sichuan Normal University, Chengdu, China)

Abstract

This article utilizes Hamacher operations to develop some uncertain aggregation operators: uncertain Hamacher weighted average (UHWA) operator, uncertain Hamacher weighted geometric (UHWG) operator, uncertain Hamacher ordered weighted average (UHOWA) operator, uncertain Hamacher ordered weighted geometric (UHOWG) operator, uncertain Hamacher hybrid average (UHHA) operator, uncertain Hamacher hybrid geometric (UHHG) operator and some uncertain Hamacher correlate aggregation operators and uncertain induced Hamacher aggregation operators. The prominent characteristics of these proposed operators are studied. Then, the article utilizes these operators to develop some approaches to solve the uncertain multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Suggested Citation

  • Guiwu Wei, 2018. "Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 10(2), pages 40-64, April.
    • Handle: RePEc:igg:jdsst0:v:10:y:2018:i:2:p:40-64
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    Cited by:

    1. Jiahuan He & Xindi Wang & Runtong Zhang & Li Li, 2019. "Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    2. Vanita Rani & Satish Kumar, 2023. "MCDM Method for Evaluating and Ranking the Online Shopping Websites Based on a Novel Distance Measure Under Intuitionistic Fuzzy Environment," SN Operations Research Forum, Springer, vol. 4(4), pages 1-34, December.
    3. Muhammad Naeem & Muhammad Qiyas & Mohammed M. Al-Shomrani & Saleem Abdullah, 2020. "Similarity Measures for Fractional Orthotriple Fuzzy Sets Using Cosine and Cotangent Functions and Their Application in Accident Emergency Response," Mathematics, MDPI, vol. 8(10), pages 1-19, September.
    4. 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.
    5. Siqi Zhang & Hui Gao & Guiwu Wei & Yu Wei & Cun Wei, 2019. "Evaluation Based on Distance from Average Solution Method for Multiple Criteria Group Decision Making under Picture 2-Tuple Linguistic Environment," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    6. Vladimir Simić & Radovan Soušek & Stefan Jovčić, 2020. "Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure," Mathematics, MDPI, vol. 8(12), pages 1-29, December.
    7. Shengjun Wu & Jie Wang & Guiwu Wei & Yu Wei, 2018. "Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators," Sustainability, MDPI, vol. 10(5), pages 1-26, May.
    8. Tehreem Ayaz & Mohammad M. Al-Shomrani & Saleem Abdullah & Amjad Hussain, 2020. "Evaluation of Enterprise Production Based on Spherical Cubic Hamacher Aggregation Operators," Mathematics, MDPI, vol. 8(10), pages 1-40, October.
    9. Liangping Wu & Guiwu Wei & Hui Gao & Yu Wei, 2018. "Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination," Mathematics, MDPI, vol. 6(12), pages 1-20, December.
    10. Shouzhen Zeng & Harish Garg & Muhammad Munir & Tahir Mahmood & Azmat Hussain, 2019. "A Multi-Attribute Decision Making Process with Immediate Probabilistic Interactive Averaging Aggregation Operators of T-Spherical Fuzzy Sets and Its Application in the Selection of Solar Cells," Energies, MDPI, vol. 12(23), pages 1-26, November.
    11. Asima Razzaque & Ibtisam Masmali & Rimsha Hassan & Umer Shuaib & Abdul Razaq & Ghaliah Alhamzi & Saima Noor, 2023. "A Modern Strategy for the Selection of Efficacious Solar Panels at Industrial Level under an Interval-Valued Picture Fuzzy Set Hybrid Environment," Energies, MDPI, vol. 16(14), pages 1-22, July.
    12. Gia Sirbiladze, 2021. "Associated Probabilities in Interactive MADM under Discrimination q-Rung Picture Linguistic Environment," Mathematics, MDPI, vol. 9(18), pages 1-36, September.
    13. Shouzhen Zeng & Shahzaib Asharf & Muhammad Arif & Saleem Abdullah, 2019. "Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    14. Suizhi Luo & Lining Xing, 2019. "Picture Fuzzy Interaction Partitioned Heronian Aggregation Operators for Hotel Selection," Mathematics, MDPI, vol. 8(1), pages 1-23, December.
    15. Sanjib Biswas & Dragan Pamucar, 2023. "A modified EDAS model for comparison of mobile wallet service providers in India," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-31, December.
    16. Yun Jin & Hecheng Wu & Dechao Sun & Shouzhen Zeng & Dandan Luo & Bo Peng, 2019. "A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method," Mathematics, MDPI, vol. 7(10), pages 1-12, October.
    17. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    18. 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.
    19. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.
    20. 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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