Comparison of Two Approaches to Approximated Reasoning


Broek, P.M. van den (2003) Comparison of Two Approaches to Approximated Reasoning. In: Third Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2003, 10-12 September 2003, Zittau/Goerlitz, Germany (pp. pp. 512-516).

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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.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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