document: Approximation theory of fuzzy systems based upon genuine many-valued implications - MIMO cases It is constructively proved that the multi-input-multi-output fuzzy systems based upon genuine many-valued implications are universal approximators -LRB- they are called Boolean type fuzzy systems in this paper -RRB- . The general approach to construct such fuzzy systems is given , that is , through the partition of the output region -LRB- by the given accuracy -RRB- . Two examples are provided to demonstrate the way in which fuzzy systems are designed to approximate given functions with a given required approximation accuracy
doc_bio_tags: O O O B I O O O O O O O O O O O O O O O B I O O O O O O O O O O O O B I I I O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O
extractive_keyphrases: boolean type fuzzy systems fuzzy systems
abstractive_keyphrases: multi-input-multi-output fuzzy systems many-valued implication universal approximator