ON ($epsilon, epsilon vee q$)-FUZZY IDEALS OF BCI-ALGEBRAS
نویسندگان
چکیده مقاله:
The aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in BCIalgebras and to investigate some of their properties. Several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of BCI-algebras is discussed. It is shownthat a fuzzy set of a BCI-algebra is an ($epsilon, epsilon vee q$)-fuzzy a-ideal if and only if itis both an ($epsilon, epsilon vee q$)-fuzzy p-ideal and an ($epsilon, epsilon vee q$)-fuzzy q-ideal. Finally, the concept of implication-based fuzzy a-ideals in BCI-algebras is introduced and,in particular, the implication operators in Lukasiewicz system of continuousvaluedlogic are discussed.
منابع مشابه
on ($epsilon, epsilon vee q$)-fuzzy ideals of bci-algebras
the aim of this paper is to introduce the notions of ($epsilon, epsilon vee q$)-fuzzy p-ideals, ($epsilon, epsilon vee q$)-fuzzy q-ideals and ($epsilon, epsilon vee q$)-fuzzy a-ideals in bcialgebras and to investigate some of their properties. several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of bci-algebras i...
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عنوان ژورنال
دوره 6 شماره 1
صفحات 81- 94
تاریخ انتشار 2009-02-11
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