On Fuzzy Sequences, Fixed Points and Periodicity in Iterated Fuzzy Maps


  • Horia Nicolai Teodorescu Gheorghe Asachi Technical University, Iasi, Romania Institute for Computer Science, Romanian Academy, Iasi Branch


modeling, control, fuzzy map iteration, fuzzy sequence, behavior


I exemplify various elementary cases of fuzzy sequences and results related to the iteration of fuzzy mappings and to fuzzy logic systems (FLS). Several types of fuzzy logic system iterations are exemplified in relationship with oscillations in FLS and with the problem of stability in fuzzy logic control. I establish several conditions for fixed points and periodicity of the iterations based on fuzzy systems.


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