IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS Jun, Young-Bae; Song, Seok-Zun;
As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li , the notion of (, )-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between (, )-fuzzy filters and (, )-fuzzy implicative filters is established. Conditions for an (, )-fuzzy filter to be an (, )-fuzzy implicative filter are considered. Characterizations of an (, )-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an -algebra is discussed.