A state-of-the-art review of neutrosophic sets and theory

İrem Otay*, Cengiz Kahraman

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

9 Citations (Scopus)


A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic sets are relatively new extensions of intuitionistic fuzzy sets. The neutrosophic logic has been approved by many researchers in a short time. Especially, a significant acceleration in the number of publications on neutrosophic sets is observed after 2015. This chapter aims at classifying all these publications and to exhibiting the place of neutrosophic sets and logic in the literature. This is the most comprehensive and updated review on neutrosophic sets. Tabular and graphical illustrations are used to summarize the review results.

Original languageEnglish
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Verlag
Number of pages22
Publication statusPublished - 2019

Publication series

NameStudies in Fuzziness and Soft Computing
ISSN (Print)1434-9922

Bibliographical note

Publisher Copyright:
© Springer Nature Switzerland AG 2019.


  • Literature review
  • Neutrosophic clustering
  • Neutrosophic hypergraphs
  • Neutrosophic multicriteria decision making
  • Neutrosophic segmentation
  • Neutrosophic sets


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