Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2019
Abstract
Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the single valued neutrosophic set theory has been extensively studied in books and monographs, the properties of neutrosophic sets and their applications, by many authors around the world. Also, an international journal - Neutrosophic Sets and Systems started its journey in 2013. Neutrosophic triplet was first defined in 2016 by Florentin Smarandache and Mumtaz Ali and they also introduced the neutrosophic triplet groups in the same year. For every element “x” in a neutrosophic triplet set A, there exist a neutral of “x” and an opposite of “x”. Also, neutral of “x” must be different from the classical neutral element. Therefore, the NT set is different from the classical set. Furthermore, a NT of “x” is showed by . This first volume collects original research and applications from different perspectives covering different areas of neutrosophic studies, such as decision making, Triplet, topology, and some theoretical papers. This volume contains three sections: NEUTROSOPHIC TRIPLET, DECISION MAKING, AND OTHER PAPERS.
Publisher
Pons Editions, Brussels, Belgium
ISSN
978-1-59973-595-5
Volume
1
Language (ISO)
English
Keywords
neutrosophic logic, mathematics, applied mathematics
Recommended Citation
F. Smarandache & M. Sahin (eds.) Neutrosophic Triplet Structures, Vol. 1. Brussels: Pons Editions, 2019.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Analysis Commons, Control Theory Commons, Discrete Mathematics and Combinatorics Commons, Dynamic Systems Commons, Non-linear Dynamics Commons, Other Astrophysics and Astronomy Commons
