Intuitionistic fuzzy bicubic Bézier surface approximation

Zulkifly, Mohammad Izat Emir; Wahab, Abd. Fatah

doi:10.1063/1.5041595

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…These operators include the ordered weighted averaging (OWA) operator and its families, as well as the Sugeno integral and the Choquet integral [27,29]. Moreover, we aim to broaden the range of applications for this set, encompassing various fields such as decision-making problems [22,4] and geometric modeling [31]. Additionally, the expansion of this set under proximity measures, such as distance and similarity measures [5], as well as ranking methods, including score and accuracy functions [6] within the Cq-ROFS environment.…”

Section: Conclusion and Future Studiesmentioning

confidence: 99%

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

Yusoff,

Kilicman,

Pratama

et al. 2023

MJMS

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Circular intuitionistic fuzzy sets (CIFS) are a recent extension of intuitionistic fuzzy sets (IFS) that can handle imprecise membership values effectively. However, its representation is limited to the space under the intuitionistic fuzzy interpretation triangle (IFIT). To address this, a new generalization of CIFS called circular q-rung orthopair fuzzy sets (Cq-ROFS) is proposed, extending the IFIT to cover a larger space of imprecision. Several relations and operations, including algebraic operations for Cq-ROFS are proposed. In addition, modal operators and their properties are then investigated.

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Section: Conclusion and Future Studiesmentioning

confidence: 99%

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

Yusoff,

Kilicman,

Pratama

et al. 2023

MJMS

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“…Meanwhile, Rosli and Zulkifly [18] go into detail about the use of B-spline curve interpolation, and they also show a neutrosophic bicubic B-spline surface interpolation model for uncertainty data [19]. In 2019, Zulkifly and teams [30] introduced an approximation of the intuitionistic fuzzy Bézier curve model. After that, they expanded the study to discuss an intuitionistic fuzzy Bézier curve approximation model for uncertainty data [27].…”

Section: Introductionmentioning

confidence: 99%

Interval Neutrosophic Cubic Bézier Curve Approximation Model for Complex Data

Rosli,

Zulkifly

2024

Mal. J. Fund. Appl. Sci.

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Complex data is defined as data that has the qualities of huge data, a lack of data information, and uncertainty. This paper discussed constructing the interval neutrosophic cubic Bézier curve (INCBC) approximation model for complex data. To construct the interval neutrosophic data point (INDP) based on the definition of interval neutrosophic set (INS), interval neutrosophic relation (INR) and interval neutrosophic point (INP). Next is the introduction of an interval neutrosophic control point (INCP) that blends with the theory of interval neutrosophic set and the Bernstein basis function. Later, the interval neutrosophic cubic Bézier curve (INCBC) model is visualizing with a four-by-four control points relation approximates the curves for truth, false, and indeterminacy membership. At the end of this paper will demonstrate the algorithm for the creation of the interval neutrosophic cubic Bézier curve (INCBC). The scientific value of this work is the acceptance of complex uncertainty data. As a result, due to the fact it combines fuzzy geometric modelling, this approach has the potential to make a significant contribution to complex uncertainty modelling by using this spline which is Bézier curve model.

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“…Later, Zulkifly & Wahab defined intuitionistic fuzzy control point relation (IFCPR) through intuitionistic fuzzy concept with some properties. They illustrate intuitionistic fuzzy bicubic Bézier surface through the approximation method by using data point with intuitionistic features [10]. By using IFCPR, they also generate cubic Bézier curve through interpolation method and intuitionistic fuzzy B-spline curve (IFB-SC) using approximation method [12][13].…”

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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Intuitionistic fuzzy bicubic Bézier surface approximation

Cited by 4 publications

References 26 publications

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

Circular q-Rung Orthopair Fuzzy Set and Its Algebraic Properties

Interval Neutrosophic Cubic Bézier Curve Approximation Model for Complex Data

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

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