Fuzzy linguistic in geometric modeling

Husain, Mohd Sallehuddin; Wahab, Abd. Fatah; Gobithasaan, R.U.

doi:10.11113/mjfas.v11n1.344

Cited by 3 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Assessing and expressing the nature of the data points received is challenging if the data are affected by ambiguity and errors made during data collection [1]. There are various methods for defining uncertainty, including fuzzy set theory and geometric modeling [2]. Besides, fuzzy geometric modeling refers to the fusion of fuzzy set theory with geometric modeling [3].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Intuitionistic Alpha Cut of B-Spline Curve Interpolation Modeling for Shoreline Island Data

Jifrin,

Zakaria,

Ismail

2023

Mal. J. Fund. Appl. Sci.

View full text Add to dashboard Cite

Traditional approaches are unable to handle the uncertainty data issue, which leads to inaccurate data analysis and prediction. Data with uncertainty are frequently collected during the data collection phase but cannot be directly used to create geometric models. Therefore, using intuitionistic alpha cuts for the uncertainty data, this paper discusses B-Spline curve interpolation modeling. To resolve the uncertain data and produce the mathematical model, fuzzy set theory, intuitionistic fuzzy sets, and geometry modeling are combined. Three main procedures are used in detail, the first of which is the application of fuzzy set theory to defined uncertainty data, followed by the use of an intuitionistic fuzzy set to take into account the membership, non-membership, and indeterminacy values of the alpha, and finally the fuzzification and defuzzification procedures. The B-spline curve interpolation function is used in geometric modeling to create mathematical geometry in the form of curves. As a result, several numerical examples are provided, along with their algorithms for producing the desired curve.

show abstract

Section: Introductionmentioning

confidence: 99%

Fuzzy Intuitionistic Alpha Cut of B-Spline Curve Interpolation Modeling for Shoreline Island Data

Jifrin,

Zakaria,

Ismail

2023

Mal. J. Fund. Appl. Sci.

View full text Add to dashboard Cite

show abstract

B-spline curve interpolation modeling using intuitionistic alpha cut for uncertainty data

Jifrin,

Zakaria

2024

AIP Conference Proceedings

View full text Add to dashboard Cite

Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data

et al. 2022

View full text Add to dashboard Cite

A fuzzy linguistic data set that is uncertain is difficult to analyze and describe in the form of a smooth and continuous generic figure. Therefore, the study aims to develop a new model of a B-spline surface using a different approach of a crisp and fuzzy linguistic point relation with three types of linguistic function: low L, medium Mi and high H. These linguistic functions are defined first to introduce the fuzzy linguistic point relation. Then, a new algorithm of the fuzzy linguistic bicubic B-spline surface model is presented to convert fuzzy linguistic data into fuzzy linguistic control points. In addition, a numerical example of fuzzy linguistic data is considered at the end of this study to visualize the suggested model. Thus, the relation between the fuzzy linguistic data points can be analyzed to present another area of knowledge in which symmetry phenomena occur. The symmetry here plays an important role in solving the uncertain fuzzy linguistic data problem by using the suggested model.

show abstract

Fuzzy linguistic in geometric modeling

Cited by 3 publications

References 14 publications

Fuzzy Intuitionistic Alpha Cut of B-Spline Curve Interpolation Modeling for Shoreline Island Data

Fuzzy Intuitionistic Alpha Cut of B-Spline Curve Interpolation Modeling for Shoreline Island Data

B-spline curve interpolation modeling using intuitionistic alpha cut for uncertainty data

Generalized Fuzzy Linguistic Bicubic B-Spline Surface Model for Uncertain Fuzzy Linguistic Data

Contact Info

Product

Resources

About