A Countable Fractal Interpolation Scheme Involving Rakotch Contractions

Tackling of uncertain data is a major problem in analysis, modeling and simulation. Fractal interpolation surface and fuzzy set method are employed to solve the issue of uncertainty in modeling irregular surface. Initial interpolation data grid point is used as the kernel of Gaussian fuzzy membership function and its fuzzy numbers can be calculated by specifying λ of λ-cut set. These fuzzy numbers are used as uncertain data, which are the boundaries of the fluctuation of initial grid, and defined as a new kind of fuzzy interpolation grids. With these interpolation grids fractal interpolation surface algorithm is applied to act on. By these definitions, experimental data for modeling rock surface is illustrated to show that how the interpolation scheme proposed in this paper enhances the controllability for manipulating uncertain data.

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Study of Behavior of Human Capital from a Fractal Perspective

International Journal of Business Administration ◽

10.5430/ijba.v8n1p50 ◽

2016 ◽

Vol 8 (1) ◽

pp. 50

Author(s):

Leydi Z. Guzman-Aguilar ◽

Angel Machorro-Rodriguez ◽

Tomas Morales-Acoltzi ◽

Miguel Montano-Alvarez ◽

Marcos Salazar-Medina ◽

...

Keyword(s):

Time Series ◽

Human Capital ◽

Fractal Geometry ◽

Ad Hoc ◽

Fractal Interpolation ◽

Interpolation Scheme ◽

Human Capital Management ◽

Nonlinear Methods ◽

Vertical Scale ◽

Long Time

In the last decade, the application of fractal geometry has surged in all disciplines. In the area of human capital management, obtaining a relatively long time series (TS) is difficult, and likewise nonlinear methods require at least 512 observations. In this research, we therefore suggest the application of a fractal interpolation scheme to generate ad hoc TS. When we inhibit the vertical scale factor, the proposed interpolation scheme has the effect of simulating the original TS.

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Aggregation of digital terrain data using a modified fractal interpolation scheme

Computers & Geosciences ◽

10.1016/s0098-3004(96)00049-0 ◽

1996 ◽

Vol 22 (8) ◽

pp. 907-917 ◽

Cited By ~ 30

Author(s):

Rajat Bindlish ◽

Ana Paula Barros

Keyword(s):

Fractal Interpolation ◽

Interpolation Scheme ◽

Digital Terrain

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Slater-Koster interpolation scheme for actinides

Le Journal de Physique Colloques ◽

10.1051/jphyscol:1979471 ◽

1979 ◽

Vol 40 (C4) ◽

pp. C4-226-C4-227

Author(s):

H. A. Razafimandimby ◽

C.E.T. Gonçalves da Silva

Keyword(s):

Interpolation Scheme

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Controllable and realistic terrain synthesis based on feature sketch and fractal interpolation

Journal of Computer Applications ◽

10.3724/sp.j.1087.2013.00519 ◽

2013 ◽

Vol 33 (2) ◽

pp. 519-521

Author(s):

Jidong WANG ◽

Ruibin ZHAO ◽

Mingyong PANG

Keyword(s):

Fractal Interpolation

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IMPROVING EIGENSPACE-BASED FUZZY LOGIC SYSTEM USING A LINEAR INTERPOLATION SCHEME FOR SPEECH PATTERN RECOGNITION

Transactions of the Canadian Society for Mechanical Engineering ◽

10.1139/tcsme-2013-0049 ◽

2013 ◽

Vol 37 (3) ◽

pp. 611-620

Author(s):

Ing-Jr Ding ◽

Chih-Ta Yen

Keyword(s):

Pattern Recognition ◽

Fuzzy Logic ◽

Recognition Performance ◽

Linear Interpolation ◽

Fuzzy Logic System ◽

Interpolation Scheme ◽

Speech Pattern ◽

Eigen Value ◽

Target Speaker ◽

Logic System

The Eigen-FLS approach using an eigenspace-based scheme for fast fuzzy logic system (FLS) establishments has been attempted successfully in speech pattern recognition. However, speech pattern recognition by Eigen-FLS will still encounter a dissatisfactory recognition performance when the collected data for eigen value calculations of the FLS eigenspace is scarce. To tackle this issue, this paper proposes two improved-versioned Eigen-FLS methods, incremental MLED Eigen-FLS and EigenMLLR-like Eigen-FLS, both of which use a linear interpolation scheme for properly adjusting the target speaker’s Eigen-FLS model derived from an FLS eigenspace. Developed incremental MLED Eigen-FLS and EigenMLLR-like Eigen-FLS are superior to conventional Eigen-FLS especially in the situation of insufficient data from the target speaker.

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