On nowhere denseness of certain fuzzy controllers containing prerestricted number of rules
نویسنده
چکیده
Although, in literature various results can be found claiming that fuzzy controllers are universal approximators, recently it was shown [3, 4] that for Sugeno-controllers this property does not hold any longer if the number of the rules is bounded. Namely, it was shown that the set of Sugeno-controllers is nowhere dense in the space of continuous functions. In this paper a generalization of the referred paper is presented for a wider class of fuzzy controllers. This class contains the Takagi–Sugeno-, and Takagi–Sugeno–Kang-type fuzzy controllers, as well.
منابع مشابه
Some Classes of Difference Sequences of Fuzzy Real Numbers
In this article we disscuss some properties of the classes of difference sequences c (∆), c0 (∆) and ` F ∞(∆) of fuzzy real numbers, like solidness, symmetricity, sequence algebra, convergence free, nowhere denseness and prove some inclusion results.
متن کاملStatistically Convergent Difference Sequence Spaces of Fuzzy Real Numbers
In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, c̄ (∆). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results.
متن کاملFuzzy Rule-based Controllers That Learn by Evolving Their Knowledge Base. ?
Fuzzy Logic Controllers may be considered as knowledge-based systems , incorporating human knowledge into their Knowledge Base through Fuzzy Rules and Fuzzy Membership Functions. The deenition of these Fuzzy Rules and Fuzzy Membership Functions is actually aaected by subjective decisions, having a great innuence over the performance of the Fuzzy Controller. In recent years, eeorts have been mad...
متن کاملOn Ultralimits of Sparse Graph Classes
The notion of nowhere denseness is one of the central concepts of the recently developed theory of sparse graphs. We study the properties of nowhere dense graph classes by investigating appropriate limit objects defined using the ultraproduct construction. Our goal is to demonstrate that different equivalent definitions of nowhere denseness, for example via quasi-wideness or the splitter game, ...
متن کاملNeighborhood Complexity and Kernelization for Nowhere Dense Classes of Graphs
We prove that whenever G is a graph from a nowhere dense graph class C, and A is a subset of vertices of G, then the number of subsets of A that are realized as intersections of A with r-neighborhoods of vertices of G is at most f(r, ε) · |A|, where r is any positive integer, ε is any positive real, and f is a function that depends only on the class C. This yields a characterization of nowhere ...
متن کامل