The category of neutrosophic sets
Keywords:Neutrosophic crisp set, Cartesian closed category, Topological universe
Abstract: We introduce the category NSet(H) consisting of neutrosophic H-sets and morphisms between them. And we study NSet(H) in the sense of a topological universe and prove that it is Cartesian closed over Set, where Set denotes the category consisting of ordinary sets and ordinary mappings between them. Furthermore, we investigate some relationships between two categories ISet(H) and NSet(H).
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