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Dealer using a new trapezoidal cubic hesitant fuzzy TOPSIS method and application to group decision-making program

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Abstract

In this paper, we describe the idea of trapezoidal cubic hesitant fuzzy number. We discuss some basic operational laws of trapezoidal cubic hesitant fuzzy number and hamming distance of trapezoidal cubic hesitant fuzzy numbers (TrCHFNs). We introduce the new concept of the trapezoidal cubic hesitant fuzzy TOPSIS method. Furthermore, we extend the classical trapezoidal cubic hesitant fuzzy TOPSIS method to solve the MCDM method based on the trapezoidal cubic hesitant fuzzy TOPSIS method. The new ranking method for TrCHFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and prove the practicality and effectiveness of the proposed method. We compared the proposed method to the existing methods, which shows the trapezoidal cubic hesitant Fuzzy TOPSIS method is more flexible to deal uncertainties and fuzziness. The main advantage of these operators is that it is to provide more accurate and significant results.

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Authors and Affiliations

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

    Fazli Amin & Aliya Fahmi

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

    Saleem Abdullah

Authors
  1. Fazli Amin
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  2. Aliya Fahmi
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  3. Saleem Abdullah
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Correspondence to Fazli Amin.

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Communicated by A. Di Nola.

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Amin, F., Fahmi, A. & Abdullah, S. Dealer using a new trapezoidal cubic hesitant fuzzy TOPSIS method and application to group decision-making program. Soft Comput 23, 5353–5366 (2019). https://doi.org/10.1007/s00500-018-3476-3

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