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Generalized trapezoidal cubic linguistic fuzzy ordered weighted average operator and group decision-making

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Abstract

In this paper, we define aggregation operators for trapezoidal cubic linguistic fuzzy sets which includes generalized cubic linguistic fuzzy averaging (geometric) operator, generalized trapezoidal cubic linguistic fuzzy weighted averaging (GTrCLFWA) operator, generalized trapezoidal cubic linguistic fuzzy weighted geometric (GTrCFWG) operator, generalized trapezoidal cubic linguistic fuzzy ordered weighted average (GTrCLFOWA) operator, generalized trapezoidal cubic linguistic fuzzy ordered weighted geometric (GTrCLFOWG) operator, generalized trapezoidal cubic linguistic fuzzy hybrid averaging (GTrCLFHA) operator and generalized trapezoidal cubic linguistic fuzzy hybrid geometric (GTrCLFHG) operator. Furthermore, we relate these aggregation operators to develop an approach to multiple attribute group decision-making with trapezoidal cubic linguistic fuzzy information. Finally, a numerical example is providing to demonstrate the submission of the established approach.

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Acknowledgements

Saleem Abdullah and Muhammad Aslam extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research group program under Grant Number R.G.P2/52/40.

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Authors and Affiliations

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

    Saleem Abdullah

  2. Department of Mathematics, Hazara University Mansehra, Dhodial, Pakistan

    Aliya Fahmi

  3. Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia

    Muhammad Aslam

Authors
  1. Saleem Abdullah
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  2. Aliya Fahmi
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  3. Muhammad Aslam
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Correspondence to Saleem Abdullah.

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This study is not supported by any source or any organizations. This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by A. Di Nola.

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Abdullah, S., Fahmi, A. & Aslam, M. Generalized trapezoidal cubic linguistic fuzzy ordered weighted average operator and group decision-making. Soft Comput 24, 3155–3171 (2020). https://doi.org/10.1007/s00500-020-04672-7

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  • DOI: https://doi.org/10.1007/s00500-020-04672-7

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