%0 Journal Article %T Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7040353 %X In this paper, we present the lattice structures of neutrosophic theories. We prove that Zhang-Zhang¡¯s YinYang bipolar fuzzy set is a subclass of the Single-Valued bipolar neutrosophic set. Then we show that the pair structure is a particular case of refined neutrosophy, and the number of types of neutralities (sub-indeterminacies) may be any finite or infinite number. View Full-Tex %U https://www.mdpi.com/2227-7390/7/4/353