Truth-value based interval neutrosophic sets

Neutrosophic set is a part of neutrosophy, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it truth-value based interval neutrosophic set. We provide various properties of truth-value based interval neutrosophic sets, which are connected to the operations and relations over truth-value based interval neutrosophic sets.