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Ideal Theory of BCK/BCI-algebras Based on Double-framed Soft Sets |
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PP: 1879-1887 |
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Author(s) |
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Young Bae Jun,
G. Muhiuddin,
Abdullah M. Al-roqi,
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Abstract |
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| The notion of a (closed) double-framed soft ideal (briefly, a (closed) DFS-ideal) in BCK/BCI-algebras is introduced, and
related properties are investigated. Several examples are provided. The relation between a DFS-algebra and a DFS-ideal is considered,
and characterizations of a (closed) DFS-ideal are established. A new DFS-ideal from old one is constructed, and we show that the
int-uni DFS-set of two DFS-ideals is a DFS-ideal. Conditions for a DFS-ideal to be closed are discussed. |
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