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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)
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Abstract

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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