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Constructing a Membership Functions by Composite Way
Bushra Hussien Aliwi
College of Education /Babylon University-Iraq
Abstract:
In all fuzzy sets we use Membership Functions (MFs),these functions either Linear or Nonlinear. This paper percents a new idea through answering the question asking; What happen if the MF is a composite function of two or more MFs or with wavelet function? A gotten result(s) which also a functions has the properties of MFs that construct it, that effected by composite order of functions, these properties chosen that each MF must be normal (its maximum value is 1), and defined with positive values that in closed interval [0,1] which will preserve through composition .
Introduction:
Each work try to improve some thing ,and this work is also try to do that through introduce different idea on previous thoughts that work in the same side .Many thoughts try to improve fuzzy systems from these try to increase number of inputs or/and outputs variable as occurred in reference(Reznik 1997, Babu?ka, Leondes1998) or change the form of MF that used in rule base(for outputs to be linear or non linear) for system to get on other types as in (Duch 2004, Reznik 1997, Soto 2003) .
This paper percent a new idea on modify MF but through that we will construct our MF through compose among MFs (for different types linear or nonlinear) ,many tables for dataset values for variable where presented supported by graphs that reflex the features and properties of resulted MFs that its standard for MFs that effected by composite order of functions, from these properties that MF is normal (its maximum value is 1), and that in interval [0,1] .High order of compose were use too ,that to enhance idea .
- وصف الــ Tags لهذا الموضوع
- Membership Functions,Wavelets
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