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AIMS Mathematics

2020, Volume 5, Issue 3: 1985-2008. doi: 10.3934/math.2020132
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Research article

A novel approach to hesitant multi-fuzzy soft set based decision-making

  • 1.
    Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, India
  • 2.
    School of Mathematics and Statistics, Southwest University, Beibei 400715, Chongqing, China
  • Received: 03 November 2019 Accepted: 13 February 2020 Published: 21 February 2020

  • MSC : 06D72, 90B50, 94D05

  • In this article, we present the idea of a hesitant multi-fuzzy set. We join the characteristics of a hesitant multi-fuzzy set with the parametrization of the soft set and constructs the hesitant multi-fuzzy soft set. We center around the fundamental operations for the instance of the hesitant multi-fuzzy soft subsets. Also, we look at the root mean square sum level soft set or RMSS-level soft set to deal with uncertainties. We also provide the utilization of hesitant multi-fuzzy soft set into the decision-making issues. Finally, we deliver a standard algorithm to resolve decision-making issues and test the effectiveness of it by a socialistic decision-making problem.

    Citation: Asit Dey, Tapan Senapati, Madhumangal Pal, Guiyun Chen. A novel approach to hesitant multi-fuzzy soft set based decision-making[J]. AIMS Mathematics, 2020, 5(3): 1985-2008. doi: 10.3934/math.2020132

    Related Papers:

  • In this article, we present the idea of a hesitant multi-fuzzy set. We join the characteristics of a hesitant multi-fuzzy set with the parametrization of the soft set and constructs the hesitant multi-fuzzy soft set. We center around the fundamental operations for the instance of the hesitant multi-fuzzy soft subsets. Also, we look at the root mean square sum level soft set or RMSS-level soft set to deal with uncertainties. We also provide the utilization of hesitant multi-fuzzy soft set into the decision-making issues. Finally, we deliver a standard algorithm to resolve decision-making issues and test the effectiveness of it by a socialistic decision-making problem.


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