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Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem

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Abstract

This paper contributes to cubic aggregation operator and applications in decision-making problem. In this paper, we use Dombi operational laws and Heronian mean operators, to develop a new concept of cubic fuzzy Heronian mean Dombi aggregation operators, i.e., cubic fuzzy Heronian mean Dombi aggregation (CFHMDA), cubic fuzzy weighted Heronian mean Dombi aggregation (CFWHMDA), cubic fuzzy geometric Heronian mean Dombi aggregation (CFGHMDA), and cubic fuzzy weighted geometric Heronian mean Dombi aggregation (CFWGHMDA) operators. The proposed operators are not deal single aspect, but also deal with the relation between multi-aspects making them more effectively solving decision-making (MADM) problems. We proposed a new algorithm to solve a multi-attribute decision-making problem based on the developed operators. Finally, we solved a MADM problems with the cubic fuzzy Heronian mean Dombi aggregation operators.

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Acknowledgements

This research work was supported by Higher Education Commission (HEC) under National Research Program for University (NRPU), Project title, Fuzzy Mathematical Modeling for Decision Support Systems and Smart Grid Systems (No. 10701/KPK/NRPU/R&D/HEC/2017).

Funding

This study is not supported by any source or any organizations.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Riphah International University, Islamabad, Pakistan

    Sanum Ayub & Muhammad Yaqub Khan

  2. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan

    Saleem Abdullah, Fazal Ghani & Muhammad Qiyas

Authors
  1. Sanum Ayub
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  2. Saleem Abdullah
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  3. Fazal Ghani
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  4. Muhammad Qiyas
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  5. Muhammad Yaqub Khan
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Correspondence to Saleem Abdullah.

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Communicated by A. Di Nola.

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Ayub, S., Abdullah, S., Ghani, F. et al. Cubic fuzzy Heronian mean Dombi aggregation operators and their application on multi-attribute decision-making problem. Soft Comput 25, 4175–4189 (2021). https://doi.org/10.1007/s00500-020-05512-4

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