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

Florentin Smarandache
Additional contact information
Florentin Smarandache: Mathematics Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA

Mathematics, 2019, vol. 7, issue 4, 1-16

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.

Keywords: neutrosophic set; Zhang-Zhang’s YinYang bipolar fuzzy set; single-valued bipolar neutrosophic set; bipolar fuzzy set; YinYang bipolar fuzzy set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/4/353/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/4/353/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:4:p:353-:d:223179

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().