The Chaining Syllogism in Fuzzy Logic
Christian Igel, Karl-Heinz Temme · IEEE Transactions on Fuzzy Systems · 2004
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.