G. Muhiuddin (Author), Hashem Bordbar (Author), Florentin Smarandache (Author), Young Bae Jun (Author)

Abstract

Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The re- lation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and re- lated properties are investigated.

Keywords

neutrosophic subalgebra;neutrosophic ideal;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 512
COBISS: 5488635 Link will open in a new window
ISSN: 2331-6055
Parent publication: Neutrosophic sets and systems
Views: 2259
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: str. 36-43
Issue: ǂVol. ǂ20
Chronology: 2018
DOI: 10.5281/zenodo.1235357
ID: 11314160