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Conditionally firing rules extend the possibilities of fuzzy controllers. (English) Zbl 0988.93050
Mohammadian, Masoud (ed.), Computational intelligence for modelling, control & automation ’99. Evolutionary computation & fuzzy logic for intelligent control, knowledge acquisition & information retrieval. International conference, Vienna, Austria, February 17-19, 1999. Amsterdam: IOS Press). Concurrent Syst. Eng. Ser. 55, 242-245 (1999).
The study introduces three axioms (postulates) concerning a mapping realized by a fuzzy controller such as (a) coincidence with consequents for inputs equal to rule antecedents (b) lack of containment in all consequents, and (c) belongingness of the conclusion to a convex hull of conclusions of the rules with nonempty intersection of conditions and given input datum. The authors propose a degree of conditional rule firing. Based on that, they show conditions under which the fuzzy controller satisfies the introduced axioms.
For the entire collection see [Zbl 0934.00025].

93C42 Fuzzy control/observation systems