Fuzzy multiset finite automata: Determinism, languages, and pumping lemma

摘要

The concept of fuzzy multiset finite automata was introduced recently by Wang et al. in [14]. The idea is elaborated towards deterministic fuzzy multiset finite automata and the corresponding languages. The languages are studied with respect to some closure properties. Pumping lemmata are described for languages accepted by both non-deterministic and deterministic fuzzy multiset finite automata.