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      Multi-Granulation Neutrosophic Rough Sets on a Single Domain and Dual Domains with Applications

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      Symmetry

      MDPI AG

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          Abstract

          It is an interesting direction to study rough sets from a multi-granularity perspective. In rough set theory, the multi-particle structure was represented by a binary relation. This paper considers a new neutrosophic rough set model, multi-granulation neutrosophic rough set (MGNRS). First, the concept of MGNRS on a single domain and dual domains was proposed. Then, their properties and operators were considered. We obtained that MGNRS on dual domains will degenerate into MGNRS on a single domain when the two domains are the same. Finally, a kind of special multi-criteria group decision making (MCGDM) problem was solved based on MGNRS on dual domains, and an example was given to show its feasibility.

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          Most cited references 32

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          ROUGH FUZZY SETS AND FUZZY ROUGH SETS*

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            Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment

             Jun Ye (2013)
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              MGRS: A multi-granulation rough set

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                Author and article information

                Journal
                SYMMAM
                Symmetry
                Symmetry
                MDPI AG
                2073-8994
                July 2018
                July 23 2018
                : 10
                : 7
                : 296
                Article
                10.3390/sym10070296
                © 2018
                Product
                Self URI (article page): http://www.mdpi.com/2073-8994/10/7/296

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