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Granular Computing

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04-12-2018 | Original Paper

Fuzzy rough soft set and its application to lattice

Authors: Susanta Bera, Sankar Kumar Roy

Published in: Granular Computing | Issue 2/2020

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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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Title: Fuzzy rough soft set and its application to lattice
Authors: Susanta Bera
Sankar Kumar Roy
Publication date: 04-12-2018
Publisher: Springer International Publishing
Published in: Granular Computing / Issue 2/2020
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-018-00148-0

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