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Open AccessArticle

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

Mathematics Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
Mathematics 2019, 7(4), 353; https://doi.org/10.3390/math7040353
Received: 4 March 2019 / Revised: 30 March 2019 / Accepted: 1 April 2019 / Published: 16 April 2019
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
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-Text
Keywords: neutrosophic set; Zhang-Zhang’s YinYang bipolar fuzzy set; single-valued bipolar neutrosophic set; bipolar fuzzy set; YinYang bipolar fuzzy set neutrosophic set; Zhang-Zhang’s YinYang bipolar fuzzy set; single-valued bipolar neutrosophic set; bipolar fuzzy set; YinYang bipolar fuzzy set
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Smarandache, F. Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set. Mathematics 2019, 7, 353.

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