Abstract:

 The notions of involution filters and associative filters in Fuzzy implication algebras are introduced and their properties are studied ulteriorly. Some characterizations of this two types of filters are obtained. The relations among involution, associative, implicative MP, positive implicative MP and commutative MP-filters are discussed. It is proved that a non-empty set is a positive implicative MP filter if and only if it is a implicative MP filters and a involution filters.

Key words:  fuzzy logic; fuzzy implication algebra; involution filter; associative filter; (positive)implicative MP-filter; commutative MP-filter