Replacing each multi-input single-output (MISO) fuzzy rule by an equivalent
collection of single-input single-output (SISO) rules effects a considerab
le saving in computation time. In this paper, we show that the conclusion i
nferred from a MISO rule can be computed as either the union or intersectio
n of the conclusions inferred from the equivalent SISO rules depending on w
hether the fuzzy implication operator is non-increasing or non-decreasing w
ith respect to its first argument. This is of the utmost importance in fuzz
y reasoning applied to fuzzy systems with several MISO rules. (C) 2000 Else
vier Science B.V. All rights reserved.