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Fuzzy rough soft set and its application to lattice

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Abstract

In this study, we establish a connection between rough soft set (Shabir et al., Knowl Base Syst 40:72–80, 2013) and fuzzy set. Based on the novel granulation structure called modified soft rough approximation space, fuzzy rough soft set is introduced. The important basic properties of fuzzy rough soft set are studied and supported by illustrative examples. Moreover lattice theory is studied on fuzzy rough soft set. The definitions and propositions presented in this paper enrich the soft set theory, rough set theory and fuzzy set theory, and also extend their application scopes. The paper ends with conclusions having future investigations of the study.

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Acknowledgements

The authors are very much thankful to the anonymous reviewers for their valuable suggestions and comments which helped us to improve the quality of the paper.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102, India

    Susanta Bera & Sankar Kumar Roy

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  1. Susanta Bera
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  2. Sankar Kumar Roy
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Correspondence to Sankar Kumar Roy.

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Bera, S., Roy, S.K. Fuzzy rough soft set and its application to lattice. Granul. Comput. 5, 217–223 (2020). https://doi.org/10.1007/s41066-018-00148-0

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