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Generalized Fuzzy Soft Rough Matrices and Their Applications in Decision-Making Problems

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Abstract

In this paper, generalized fuzzy soft rough matrices and their operations which are more essential to make theoretical studies in the fuzzy soft rough sets are defined. Further, based on the analysis of generalized fuzzy soft rough matrices, several algebraic properties are established. Using the notions of generalized fuzzy soft rough matrices, a novel method for choosing an optimum choice in a multi-criteria decision-making problem is developed. Moreover, the proposed method is compared with the well-known existing methods of fuzzy soft matrices, and the effectiveness of the proposed method has been demonstrated through numerical example.

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Acknowledgements

The authors would like to thank the editor in chief and the anonymous reviewers for their valuable suggestions which have led to an improvement in the paper.

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Authors and Affiliations

  1. Department of Mathematics, PSG College of Technology, Coimbatore, Tamil Nadu, 641 004, India

    P. Muthukumar

  2. Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, 641 004, India

    G. Sai Sundara Krishnan

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  1. P. Muthukumar
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  2. G. Sai Sundara Krishnan
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Correspondence to P. Muthukumar.

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Muthukumar, P., Krishnan, G.S.S. Generalized Fuzzy Soft Rough Matrices and Their Applications in Decision-Making Problems. Int. J. Fuzzy Syst. 20, 500–514 (2018). https://doi.org/10.1007/s40815-017-0350-x

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  • DOI: https://doi.org/10.1007/s40815-017-0350-x

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