A General Model of Neutrosophic Ideals in BCK/BCI-algebras Based on Neutrosophic Points

Hashem Bordbar; Rajab Ali Borzooei; Florentin Smarandache; Young Bae Jun

doi:10.18778/0138-0680.2020.18

Authors

Hashem Bordbar University of Nova Gorica, Center for Information Technologies and Applied Mathematics https://orcid.org/0000-0003-3871-217X
Rajab Ali Borzooei Shahid Beheshti University, Department of Mathematics https://orcid.org/0000-0001-7538-7885
Florentin Smarandache University of New Mexico, Mathematics & Science Department https://orcid.org/0000-0002-5560-5926
Young Bae Jun Gyeongsang National University, Department of Mathematics Education https://orcid.org/0000-0002-0181-8969

DOI:

https://doi.org/10.18778/0138-0680.2020.18

Keywords:

Ideal, neutrosophic ∈-subset, neutrosophic qk -subset, neutrosophic ∈ ∨qk -subset, (∈, ∈ ∨q(kT ,kI ,kF ))-neutrosophic ideal

Abstract

More general form of (∈, ∈ ∨q)-neutrosophic ideal is introduced, and their properties are investigated. Relations between (∈, ∈)-neutrosophic ideal and (∈, ∈ ∨q(kT ,kI ,kF ))-neutrosophic ideal are discussed. Characterizations of (∈, ∈∨q(kT ,kI,kF ))-neutrosophic ideal are discussed, and conditions for a neutrosophic set to be an (∈, ∈∨q(kT ,kI ,kF ))-neutrosophic ideal are displayed.

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