document: Approximation theory of fuzzy systems based upon genuine many-valued implications - SISO cases It is proved that the single input and single output -LRB- SISO -RRB- fuzzy systems based upon genuine many-valued implications are universal approximators . It is shown theoretically that fuzzy control systems based upon genuine many-valued implications are equivalent to those based upon t-norm implications , the general approach to construct fuzzy systems is given . It is also shown that defuzzifier based upon center of areas is not appropriate to the fuzzy systems based upon genuine many-valued implications
doc_bio_tags: O O O B I O O O O O O B O O O O O O O O O O O O B 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 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 B I O O O O O
extractive_keyphrases: siso fuzzy systems
abstractive_keyphrases: single input and single output fuzzy systems many-valued implications boolean implication universal approximator