The category of neutrosophic sets

Authors

  • Kul Hur
  • Pyung Ki Lim
  • Jeong Gon Lee
  • Junhui Kim

Keywords:

Neutrosophic crisp set, Cartesian closed category, Topological universe

Abstract

Abstract: We introduce the category NSet(H) consisting of neutrosophic H-sets and morphisms between them. And we study NSet(H) in the sense of a topological universe and prove that it is Cartesian closed over Set, where Set denotes the category consisting of ordinary sets and ordinary mappings between them. Furthermore, we investigate some relationships between two categories ISet(H) and NSet(H).

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Published

2016-12-15

Issue

Vol. 14 (2016): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Hur, K. ., Pyung Ki Lim, Gon Lee, J. ., & Kim, J. . (2016). The category of neutrosophic sets. Neutrosophic Sets and Systems, 14, 12-20. https://fs.unm.edu/nss8/index.php/111/article/view/566