Fuzzy n-fold obstinate and maximal (pre)filters of EQ-algebras

In this paper, we defined the concepts of fuzzy n-fold obstinate (pre)filter and maximal fuzzy (pre)filter of EQ-algebras and discussed the properties of them. We show that every maximal fuzzy (pre)filter of E is normalized and takes only the values {0, 1}. Also we show that in good EQ-algebra, if µ is a normalized fuzzy (pre)filter of E, then µ is a fuzzy n-fold obstinate (pre)filter of E if and only if every normalized fuzzy (pre)filter of quotient algebra E/µ is a fuzzy n-fold obstinate (pre)filter of E/µ. Also, we verify relation between fuzzy obstinate n-fold (pre)filters and other fuzzy (pre)filters of EQ-algebras.