TY - JOUR
T1 - Fuzzy implication operators and generalized fuzzy method of cases
AU - Ruan, D.
AU - Kerre, E. E.
PY - 1993/2/25
Y1 - 1993/2/25
N2 - This paper is an extension of our previous work [4] on the influence of the fuzzy implication operator on the method-of-cases inference rule. Firstly, we test some widely used fuzzy implication operators with respect to the recently introduced Smets-Magrez axioms [8]. Secondly, using an extension of a triangular norm to n arguments, a unified generalization of Zadeh's compositional rule of inference is presented. Finally, this extension is applied to a generalization of the method-of-cases under the above fuzzy implication operators.
AB - This paper is an extension of our previous work [4] on the influence of the fuzzy implication operator on the method-of-cases inference rule. Firstly, we test some widely used fuzzy implication operators with respect to the recently introduced Smets-Magrez axioms [8]. Secondly, using an extension of a triangular norm to n arguments, a unified generalization of Zadeh's compositional rule of inference is presented. Finally, this extension is applied to a generalization of the method-of-cases under the above fuzzy implication operators.
KW - Fuzzy implication operator
KW - Generalized compositional rule of inference
KW - Method-of-cases
KW - Triangular norm
UR - http://www.scopus.com/inward/record.url?scp=38249005526&partnerID=8YFLogxK
U2 - 10.1016/0165-0114(93)90357-N
DO - 10.1016/0165-0114(93)90357-N
M3 - Article
AN - SCOPUS:38249005526
SN - 0165-0114
VL - 54
SP - 23
EP - 37
JO - Fuzzy sets and systems
JF - Fuzzy sets and systems
IS - 1
ER -