Ds. Yeung et Ecc. Tsang, A MULTILEVEL WEIGHTED FUZZY-REASONING ALGORITHM FOR EXPERT-SYSTEMS, IEEE transactions on systems, man and cybernetics. Part A. Systems and humans, 28(2), 1998, pp. 149-158
The applications of fuzzy production rules (FPR's) are rather limited
if the relative degree of importance of each proposition in the antece
dent contributing to the consequent (i.e., the weight) is ignored or a
ssumed to be equal, Unfortunately, this is the case for many existing
FPR's and most existing fuzzy expert system development shells or envi
ronments offer no such functionality for users to incorporate differen
t weights in the antecedent of FPR's, This paper proposes to assign a
weight parameter to each proposition in the antecedent of a FPR and a
new fuzzy production rule evaluation method (FPREM) which generalizes
the traditional method by taking the weight factors into consideration
is devised, Furthermore, a multilevel weighted fuzzy reasoning algori
thm (MLWFRA) incorporating this new FPREM, which is based on the reach
ability and adjacent place characteristics of a fuzzy Petri net, is de
veloped, The MLWFRA has the advantages that i) it offers multilevel re
asoning capability; ii) it allows multiple conclusions to be drawn if
they exist; iii) it offers a new fuzzy production rule evaluation meth
od; and iv) it is capable of detecting cycle rules.