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Pythagorean uncertain linguistic hesitant fuzzy weighted averaging operator and its application in financial group decision making

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Abstract

With respect to multiple attribute decision-making problems, in which attribute values take in the form of Pythagorean uncertain linguistic hesitant fuzzy information, a new decision-making method based on the Pythagorean uncertain linguistic hesitant fuzzy weighted averaging (PULHFWA) operator is developed. In this paper, we proposed some operational laws based on Pythagorean uncertain linguistic hesitant fuzzy numbers (PULHFNs) and verified some properties. We also developed some aggregation operators to use the decision information represented by PULHFNs, including the PULHFWA operator, Pythagorean uncertain linguistic hesitant fuzzy ordered weighted averaging operator and Pythagorean uncertain linguistic hesitant fuzzy hybrid averaging operator. We develop a decision-making method based on the proposed operators under the Pythagorean uncertain linguistic hesitant fuzzy environment and illustrated with a numerical example and study the applicability of the new approach on a financial decision-making problem concerning the selection of financial strategies. Finally, a comparison analysis between the proposed and the existing approaches has been performed to illustrate the applicability and feasibility of the developed decision-making method.

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Acknowledgements

The work was sponsored by Higher Education of Pakistan (HEC) and conducted in Mathematics Department, Hazara University, Mansehra, for the project “Applications of Intuitionistic Fuzzy sets and Bipolar Fuzzy sets in Decision Support Systems”. We gratefully acknowledge the HEC for their generous financial and in-kind contributions received in support of the startup grant in 2017–2018.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan

    M. Shakeel & M. Shahzad

  2. Department of Mathematical Analysis, Ghent University, Ghent, Belgium

    M. Shahzad

  3. Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan

    S. Abdullah

Authors
  1. M. Shakeel
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  2. M. Shahzad
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  3. S. Abdullah
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Correspondence to M. Shahzad.

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Shakeel, M., Shahzad, M. & Abdullah, S. Pythagorean uncertain linguistic hesitant fuzzy weighted averaging operator and its application in financial group decision making. Soft Comput 24, 1585–1597 (2020). https://doi.org/10.1007/s00500-019-03989-2

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