‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis ...

The usefulness of fuzzy input fuzzy output functions and their interpolation/approximation by different operators in fuzzy control motivate their deeper theoretical study. We obtain some properties of fuzzy B-spline series such as variation and uncertainty diminishing property. We also propose spline approximation of fuzzy input fuzzy output functions. Key–Words: Fuzzy numbers, Fuzzy splines, A...

In this paper, a new set of spline functions called ``Flat End Fuzzy Spline" is defined to interpolate given fuzzy data. Some important theorems on these splines together with their existence and uniqueness properties are discussed. Then numerical examples are presented to illustrate the differences between of using our spline and other interpolations that have been studied before.

Uwe Keller, Donald Reay, Roy Leitch Intelligent Systems Laboratory Dept. of Computing & Electrical Engineering Heriot-Watt University, Edinburgh EH14 4AS, Scotland, UK [email protected] Abstract In this paper Fuzzy Region Simulation (FRenSi), which provides solutions for fuzzy dynamical models, is applied to qualitative adaptive control. FRenSi, combines fuzzy model parameters and fuzzy initial...

This paper reports the results obtained in rainfall estimation using Fuzzy B-Splines (FBS). These parametric surfaces generalize the Interval B-Splines (IBS) and combine the modeling flexibility of B-splines with the expressive power of fuzzy techniques (Anile et al. 1995). Starting from a collection of irregularly scattered rainfall data, the proposed technique provides for every point in the ...

A fuzzy if-then rule base may be viewed as a partial function between universes of fuzzy sets. We show how this partial function determines a total one by means of the method of smooting splines. To this end, we identify the fuzzy sets with elements of a finite-dimensional real parameter space in an approximate way, using Perfilieva’s fuzzy transforms.

In this paper we present an approach to designing a novel type of fuzzy controller B spline basis functions are used for input variables and fuzzy singletons for output variables to specify linguistic terms Product is chosen as the fuzzy conjunction and centroid as the defuzzi ca tion method By appropriately designing the rule base a fuzzy controller can be interpreted as a B spline interpolato...

We interpret a type of fuzzy controller as an inter polator of B spline hypersurfaces B spline basis func tions of di erent orders are regarded as a class of mem bership functions MFs with some special properties These properties lead to several interesting conclusions about fuzzy controllers if such membership functions are employed to specify the linguistic terms of the input variables We sho...

The translation of knowledge contained in databank into linguistically interpretable fuzzy rules has proven in real applications to be difficult. A solution to this problem is furnished by multiresolution techniques. A dictionary of functions forming a multiresolution is used as candidate membership functions. The membership functions are chosen among the family of scaling functions that have t...

s of MMA2015, May 26–29, 2015, Sigulda, Latvia c © 2015 ON HIGHER DEGREE F-TRANSFORMS BASED ON B-SPLINES MARTINS KOKAINIS and SVETLANA ASMUSS 1 Department of Mathematics, University of Latvia Zeļļu iela 8, R̄ıga, LV-1002, Latvia 2 Institute of Mathematics and Computer Science, University of Latvia Raiņa bulvāris 29, R̄ıga, LV-1459, Latvia E-mail: [email protected], [email protected] The ...