Title :
The chaining syllogism in fuzzy logic
Author :
Igel, Christian ; Temme, Karl-Heinz
Author_Institution :
Lehrstuhl fur Theor. Biol., Ruhr-Univ. Bochum, Germany
Abstract :
We analyze the validity of the chaining syllogism in fuzzy systems, i.e., whether two fuzzy rules IF F, THEN G, and IF G, THEN H imply the rule IF F, THEN H. Conditions are given under which this basic deduction scheme holds. "If A is predicated of all B, and B of all C, A must necessarily be predicated of all C." ;-The chaining syllogism according to Aristotle\´s Prior Analytics.
Keywords :
fuzzy logic; fuzzy set theory; fuzzy systems; chaining syllogism; fuzzy logic; fuzzy system; Calculus; Control systems; Expert systems; Fuzzy control; Fuzzy logic; Fuzzy sets; Fuzzy systems; Hybrid intelligent systems; Sufficient conditions; Chaining syllogism; implication operators; rule chaining;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2004.836078
