@inproceedings{b7068ce2da0f40c4b10a3a7bc0b5d1d3,

title = "Comparison of Two Approaches to Approximated Reasoning",

abstract = "A comparison is made of two approaches to approximate reasoning: Mamdani's interpolation method and the implication method. Both approaches are variants of Zadeh's compositional rule of inference. It is shown that the approaches are not equivalent. A correspondence between the approaches is established via the inverse of the implied fuzzy relation. The interpolation method has the lowest time-complexity, provided the minimum operator is chosen as t-norm. Otherwise, the time-complexity of both methods is the same. It is more efficient to first compile a set of fuzzy rules into a fuzzy relation, instead of aggregating inference results for each fuzzy rule separately.",

keywords = "Approximate reasoning, IR-64088, EWI-10085, time-complexity, compositional rule of inference, SE-SC: Soft Computing applied to Software Engineering, METIS-215015",

author = "{van den Broek}, P.M.",

year = "2003",

month = sep,

language = "Undefined",

isbn = "3-9808089-4-7",

publisher = "European Society for Fuzzy Logic and Technology",

pages = "512--516",

editor = "Michael Wagenknecht and Rainer Hampel",

booktitle = "EUSFLAT 2003",

note = "null ; Conference date: 10-09-2003 Through 12-09-2003",

}