Abstract :
An orthogonal approach to the fuzzication of both multisets and
hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy
hybrid sets, which are general enough and in spirit with the basic concepts of
fuzzy set theory. In addition, we study the properties of these structures.
Also, the usefulness of these structures is examined in the framework of me-
chanical multiset processing. More specically, we introduce a variant of fuzzy
P systems and, since simple fuzzy membrane systems have been introduced
elsewhere, we simply extend previously stated results and ideas.