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http://dx.doi.org/10.4134/CKMS.2007.22.2.173

FUZZY SUBALGEBRAS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS  

Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATIONb (AND RINS) GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.2, 2007 , pp. 173-181 More about this Journal
Abstract
Using the belongs to relation ($\in$) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of ($\alpha,\;\beta$)-fuzzy subalgebras where $\alpha,\;\beta$ are any two of $\{{\in},\;q,\;{\in}\;{\vee}\;q,\;{\in}\;{\wedge}\;q\}$ with ${\alpha}\;{\neq}\;{\in}\;{\wedge}\;q$ 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 (${\in},\;{\in}\;{\vee}\;q$)-fuzzy subalgebra are provided.
Keywords
belong to; quasi-coincident with; ($\alpha,\; \beta$)-fuzzy subalgebra; fuzzy subalgebra with thresholds; fuzzifying subalgebra; t-implication-based subalgebra;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 7
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