IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS
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초록
As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li \cite{INS171-61}, the notion of $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy filters and $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filters is established. Conditions for an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy filter to be an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filter are considered. Characterizations of an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an $R_0$-algebra is discussed.
Abstract
As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li \cite{INS171-61}, the notion of $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy filters and $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filters is established. Conditions for an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy filter to be an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filter are considered. Characterizations of an $(\in,$ $\in\! \vee \, {\rm q}_k)$-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an $R_0$-algebra is discussed.
참고문헌 (11)
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