Characteristics of t-norms and fuzzy control
نویسنده
چکیده
The application of conjunctive aggregation operators in fuzzy control systems with 2 inputs is discussed and the effect of the choice of a continuous t-norm operator in inference phase for TSK systems is computed. It is shown that the choice of a continuous t-norm modelling AND connective in antecedent part of fuzzy rules can be reduced just to strict or nilpotent t-norm. Moreover, it is shown that the isomorphism of strict (nilpotent) t-norms enable simpler fitting of TSK fuzzy systems parameters and reduces the computational complexity. Similar principle can be used also in the case of some non-commutative conjunctive aggregation operators modelling AND connective. The effect of the choice of a continuous t-norm is then evaluated on well known case studies in fuzzy control, the Sinc function and the urban traffic noise control system.
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