FUZZY SUBALGEBRAS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS

Title & Authors
FUZZY SUBALGEBRAS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS
Jun, Young-Bae;

Abstract
Using the belongs to relation ($\small{\in}$) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of ($\small{\alpha,\;\beta}$)-fuzzy subalgebras where $\small{\alpha,\;\beta}$ are any two of $\small{\{{\in},\;q,\;{\in}\;{\vee}\;q,\;{\in}\;{\wedge}\;q\}}$ with $\small{{\alpha}\;{\neq}\;{\in}\;{\wedge}\;q}$ was introduced, and related properties were investigated in [3]. As a continuation of the paper [3], in this paper, the notion of a fuzzy subalgebra with thresholds is introduced, and its characterizations are obtained. Relations between a fuzzy subalgebra with thresholds and an ($\small{{\in},\;{\in}\;{\vee}\;q}$)-fuzzy subalgebra are provided.
Keywords
belong to;quasi-coincident with;($\small{\alpha,\;\beta}$)-fuzzy subalgebra;fuzzy subalgebra with thresholds;fuzzifying subalgebra;t-implication-based subalgebra;
Language
English
Cited by
1.
Soft ideals of BCK/BCI-algebras based on fuzzy set theory, International Journal of Computer Mathematics, 2011, 88, 12, 2502
2.
Interval-valued -fuzzy K-algebras, Applied Soft Computing, 2011, 11, 1, 1213
3.
Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points, Neural Computing and Applications, 2011, 20, 8, 1313
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