Fermatean Neutrosophic Rough Set

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Fermatean Neutrosophic Rough Set

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Abstract

To balance uncertainty, a reasonable approximation of a crisp set that yields lower as well as upper approximations of the set are done. Here, first, a special class of Fermatean Neutrosophic Set by associating the Neutrosophic Set and Fermatean Fuzzy Set is devised. A relatively new concept of Fermatean Neutrosophic Approximation Space and Fermatean Neutrosophic approximation operators are introduced. In this context, a new class of Fermatean Neutrosophic Rough set is established and a few of its characteristics are mentioned. Also, the cut sets of Fermatean Neutrosophic Rough sets, which characterize Fermatean Neutrosophic rough approximation operators are investigated.

Keywords

Fermatean Neutrosophic Set (FNS) Fermatean Neutrosophic Approximation Space (FNAS) Fermatean Neutrosophic Rough Set (FNRS) Fermatean Neutrosophic relation (FN-r).

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