| Title: | Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras |
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| Authors: | ID Muhiuddin, G (Author)
ID Bordbar, Hashem (Author)
ID Smarandache, Florentin (Author)
ID Jun, Young Bae (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | (∈, ∈)-neutrosophic subalgebra, (∈, ∈)-neutrosophic ideal. |
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| Publication version: | Version of Record |
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| Year of publishing: | 2018 |
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| Number of pages: | 36-43 |
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| Numbering: | 20, 20 |
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| PID: | 20.500.12556/RUNG-4887-41e31f7e-b307-f4a4-66a4-9cfbf66c3537 |
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| COBISS.SI-ID: | 5488635 |
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| NUK URN: | URN:SI:UNG:REP:QPJVVDUA |
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| Publication date in RUNG: | 01.12.2019 |
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| Views: | 3745 |
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| Downloads: | 0 |
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