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Fuzzy subalgebras with thresholds in BCK/BCI-algebras

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Abstract

Using the emph{belongs to} relation (in) and emph{quasi-coincidencewith} relation (q) between fuzzy points and fuzzy sets, the concept of(alpha, beta)-fuzzy subalgebras where alpha, , beta are any two of{in, {rm q}, in !vee , {rm q}, in !wedge , {rm q}} withalpha ne , in !wedge , {rm q} was introduced, and related propertieswere investigated in cite{BKMS42-703}. As a continuation of thepaper cite{BKMS42-703}, in this paper, the notion of a fuzzy subalgebra withthresholds is introduced, and its characterizations are obtained.Relations between a fuzzy subalgebra with thresholds and an(in, in! vee , {rm q})-fuzzy subalgebra are provided.

참고문헌 (7)

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  4. "Neighborhood structure of a fuzzy pointand Moore-Smith convergence", pp.571~ (1980)
  5. "On standard models of fuzzy modal logics", pp.357~ (1988)
  6. "A new approach for fuzzy topology", pp.303~ (1991)
  7. "Generalized fuzzy groups and many-valued implications", 138, pp.205~211 (2003)

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