Fermatean Neutrosophic Sets

Abstract: To deal with the unpredictability of real time challenges, many tools and techniques has been proposed. One of the tools in dealing with imprecision is neutrosophic sets and its combinations. These sets generalize fuzzy sets, intuitionistic fuzzy sets and their extensions with a wider scope of application and thus a motivation for developing various theories. In this paper, the new concept of Fermatean Neutrosophic Sets (FNS) is defined. Further the algebraic properties and set theoretical of the Fermatean Neutrosophic Set is studied.

Keywords: Fermatean fuzzy set, neutrosophic set, Fermatean neutrosophic set.