Least and most colored bases
نویسندگان
چکیده
منابع مشابه
Towards Fuzzy Interpolation with “at Least–at Most” Fuzzy Rule Bases
Fuzzy interpolation property is among the most important properties of fuzzy inference systems. It has been showed that the normality plus Ruspini condition applying to the antecedent fuzzy sets is a sufficient condition with a high practical impact. Another important property is the monotone behavior of the resulting control function (after a defuzzification) derived from a monotone fuzzy rule...
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Among the many desirable properties of fuzzy inference systems not all of them are known to co-exist. For instance, a system based on a monotone fuzzy rule base need not be monotonic and interpolative simultaneously. Recently, Štěpnička and De Baets have investigated and shown the co-existence of the above two properties in the case of a fuzzy relational inference systems and the single-input-s...
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We introduce the concept of least supported basis, which is very useful for numerical purposes. We prove that this concept is equivalent to the local linear independence of the basis. For any given locally linearly independent basis we characterize all the bases of the space sharing the same property. Several examples for spline spaces are given.
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Article history: Available online 1 April 2011
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We study the problem of linear approximation of a signal using the parametric Gamma bases in L2 space. These bases have a time scale parameter which has the effect of modifying the relative angle between the signal and the projection space, thereby yielding an extra degree of freedom in the approximation. Gamma bases have a simple analog implementation which is a cascade of identical lowpass fi...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2007
ISSN: 0166-218X
DOI: 10.1016/j.dam.2007.04.015