Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set

Florentin Smarandache

Infinite Study

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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.