Neutrosophic Sets and Systems (Nov 2019)

Neutrosophic Hyper BCK-Ideals

  • S. Khademan,
  • M. M. Zahedi,
  • R. A. Borzooei,
  • Y. B. Jun

DOI
https://doi.org/10.5281/zenodo.3275614
Journal volume & issue
Vol. 27
pp. 201 – 217

Abstract

Read online

In this paper we introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal and reflexive neutrosophic hyper BCK-ideal. Some relevant properties and their relations are indicated. Characterization of neutrosophic (weak) hyper BCK-ideal is considered. Conditions for a neutrosophic set to be a (reflexive) neutrosophic hyper BCK-ideal and a neutrosophic strong hyper BCK-ideal are discussed. Also, conditions for a neutrosophic weak hyper BCK-ideal to be a neutrosophic s-weak hyper BCK-ideal, and conditions for a neutrosophic strong hyper BCK-ideal to be a reflexive neutrosophic hyper BCK-ideal are provided.