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

Authors

Florentin Smarandache, University of New MexicoFollow

Document Type

Article

Publication Date

2019

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.

Publication Title

Mathematics

Language (ISO)

English

Keywords

neutrosophic set; Zhang-Zhang’s YinYang bipolar fuzzy set; single-valued bipolar neutrosophic set; bipolar fuzzy set; YinYang bipolar fuzzy set

Recommended Citation

Smarandache, Florentin. "Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set." Mathematics (2019). https://digitalrepository.unm.edu/math_fsp/542