Characterizations of Fuzzy Fated Filters of $R_0$-algebras Based on Fuzzy Points

摘要

The most general form of the notion of quasi-coincidence of a fuzzy pointwith a fuzzy subset is considered, and generalization of fuzzy fated of$R_0$-algebras is discussed. The notion of an $(\epsilon , \epsilon \veeq_k)$-fuzzy fated filter in an $R_0$-algebra is introduced, and severalproperties are investigated. Characterizations of an $(\epsilon ,\epsilon \veeq_k)$-fuzzy fated filter in an $R_0$-algebra are discussed. Using a collectionof fated filters, a $(\epsilon ,\epsilon \vee q_k)$-fuzzy fated filter isestablished.