Abstract
The neutrosophic set is mathematical tool for dealing with uncertain. In this paper, we extend it further by introducing the definition of a SB-bipolar interval neutrosophic set. Mathematical operations such as complement, union, and intersection are developed for these sets. Theorems related to SB-bipolar interval neutrosophic set are also proved.
Keywords: Bipolar neutrosophic sets, fuzzy set, interval neutrosophic sets, interval fuzzy set, neutrosophic sets.