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Title:Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Authors:Muhiuddin, G (Author)
Bordbar, Hashem (Author)
Smarandache, Florentin (Author)
Jun, Young Bae (Author)
Files:This document has no files. This document may have a phisical copy in the library of the organization, check the status via COBISS. Link is opened in a new window
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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.
Year of publishing:2018
Number of pages:36-43
Numbering:20, 20
COBISS_ID:5488635 Link is opened in a new window
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
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Title:Neutrosophic Sets and Systems
Year of publishing:2018