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Title:Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
Authors:ID Muhiuddin, G (Author)
ID Bordbar, Hashem (Author)
ID Smarandache, Florentin (Author)
ID Jun, Young Bae (Author)
Files:This document has no files that are freely available to the public. This document may have a physical copy in the library of the organization, check the status via COBISS. Link is opened in a new window
Work type:Not categorized
Typology: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.
Article version:Publisher's version of article
Year of publishing:2018
Number of pages:36-43
Numbering:20, 20
PID:20.500.12556/RUNG-4887-41e31f7e-b307-f4a4-66a4-9cfbf66c3537 New window
COBISS.SI-ID:5488635 New window
Publication date in RUNG:01.12.2019
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Title:Neutrosophic Sets and Systems
Year of publishing:2018


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:30.11.2019