Bezier curve modeling for intuitionistic fuzzy data problem

Wahab, Abd. Fatah; Zulkifly, Mohammad Izat Emir; Husain, Mohd Sallehuddin

doi:10.1063/1.4954583

Cited by 8 publications

(3 citation statements)

References 17 publications

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“…Next, we will define the complex uncertainty data using T-2IFS. T-2IFS is an incredible extension of IFS henceforth, the definition of intuitionistic fuzzy data points (IFCP) is shown as below [16]:…”

Section: Figure 2 Perfectly Normal Of Triangular T-2ifnmentioning

confidence: 99%

Type-2 Intuitionistic Interpolation Cubic Fuzzy Bézier Curve Modeling using Shoreline Data

Ahmad Azmi,

Zakaria,

Ismail

2023

Mal. J. Fund. Appl. Sci.

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The notion of fuzzy sets is fast becoming a key instrument in defining the uncertainty data and has increasingly been recognised by practitioners and researchers across different disciplines in recent decades. The uncertainty data cannot be modeled directly and this causes hindrance in obtaining accurate information for analysis or predictions. Hence, this paper contributes to another approach in which an application of type-2 intuitionistic fuzzy set (T-2IFS) in geometric modeling onto complex uncertainty data where the data are defined using the type-2 fuzzy concept. T-2IFS is the generalized forms of fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and interval-valued intuitionistic fuzzy sets. Based on the concept of T2IFS, type-2 intuitionistic fuzzy point (T-2IFP) is defined in order to generate a type-2 intuitionistic fuzzy control point (T-2IFCP). Following, the T-2IFCP will be blended with the Bernstein blending function through the interpolation method, resulting to a type-2 intuitionistic interpolation cubic fuzzy Bézier curve. Shoreline data is used as the data and further verifies that the model can be conceivably accepted. In conclusion, the proposed methods are reliable and can be expanded to many other areas.

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Section: Figure 2 Perfectly Normal Of Triangular T-2ifnmentioning

confidence: 99%

Type-2 Intuitionistic Interpolation Cubic Fuzzy Bézier Curve Modeling using Shoreline Data

Ahmad Azmi,

Zakaria,

Ismail

2023

Mal. J. Fund. Appl. Sci.

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“…Wahab et. al [9] discussed intuitionistic fuzzy Bézier model and generated intuitionistic fuzzy Bézier curve using interpolation method. They visualized intuitionistic fuzzy Bézier curve that consists of membership, non-membership and uncertainty curve by blending the Bernstein polynomial with intuitionistic fuzzy control point that have been defined.…”

Section: Introductionmentioning

confidence: 99%

Visualization of Intuitionistic Fuzzy B-Spline Space Curve and Its Properties

Zulkifly

Wahab

2019

EJSMT

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In this paper, an intuitionistic fuzzy B-spline space curve is defined and some of its properties is introduced. Firstly, intuitionistic fuzzy control point is defined based on intuitionistic fuzzy and geometrical modeling concepts. Each of the control point relation that consists of three function is find and shown. Later, the control point is blended with Bspline basis function and intuitionistic fuzzy B-spline curve is visualized. Some of the control point and space curve properties in the Euclidean space is also discussed throughout this paper.

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“…Recently, geometric interpretations of data that uncertain truth were presented by Wahab and friends [4][5][6][7]. They studied geometric models of fuzzy and intuitionistic fuzzy data and gave fuzzy interpolation and Bézier curve modeling.…”

Section: Introductionmentioning

confidence: 99%