جستجوی مقالات مرتبط با کلیدواژه
تکرار جستجوی کلیدواژه fuzzy interpolation در نشریات گروه علوم پایه
fuzzy interpolation
در نشریات گروه ریاضی
تکرار جستجوی کلیدواژه fuzzy interpolation در مقالات مجلات علمی
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Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$. In this paper, we intend to offer a novel fuzzy radial basis function by the concept of source distance. Then, we will construct a fuzzy linear combination of such basis functions in order to introduce a fully fuzzy quasi-interpolation in the form of $widetilde{f}^{*}:F(mathbb{R})rightarrow F(mathbb{R})$. Also the error estimation of the proposed method is proved in terms of the fully fuzzy modulus of continuity which will be introduced in this paper. Finally some examples have been given to emphasize the acceptable accuracy of our method.Keywords: Quasi-interpolation, Fuzzy interpolation, Fuzzy logic, Radial basis function, Linear reproducing property
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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.Keywords: fuzzy interpolation, extension principle, fuzzy splines
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In this paper fuzzy piecewise cubic interpolation is constructed for fuzzy data based on B-spline basis functions. We add two new additional conditions which guarantee uniqueness of fuzzy B-spline interpolation.Other conditions are imposed on the interpolation data to guarantee that the interpolation function to be a well-defined fuzzy function. Finally some examples are given to illustrate the proposed method.Keywords: Fuzzy number, Fuzzy interpolation, B, spline basis functions
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In this paper, rst a design is proposed for representing fuzzy polynomials with input fuzzy and output fuzzy. Then, we sketch a constructive proof for existence of such polynomial which can be fuzzy interpolation polynomial in a set given of discrete points rather than a fuzzy function. Finally, to illustrate some numerical examples are solved.Keywords: Fuzzy polynomials, Fuzzy Numbers, Approximation polynomial, Fuzzy interpolation
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