An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators

Batool, Sania; Hashmi, Masooma Raza; Riaz, Muhammad; Smarandache, Florentín; Pamučar, Dragan; Spasić, Dejan

doi:10.3390/sym14112271

Cited by 6 publications

(3 citation statements)

References 51 publications

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“…Proof: By mathematical induction to prove the above statement. Let ŉ = 2, the left side of (20) becomes…”

Section: Definition 16: Letmentioning

confidence: 99%

“…Always AOs converts a set of values into a single value and many researchers utilize this technique for converting a set of information into a single value. Also keeping these concepts in mind Batool et al [20] proposed the optimization approach with single-valued neutrosophic HF Dombi AOs. Liu et al [21] invent MADM using HF Dombi-Archimedean weighted AOs.…”

Section: Introductionmentioning

confidence: 99%

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Selection of Cloud Services Provider by Utilizing Multi-Attribute Decision-Making Based on Hesitant Bipolar Complex Fuzzy Dombi Aggregation Operators

Aslam,

Waqas,

Rehman

et al. 2024

IEEE Access

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A trustworthy cloud services provider makes sure that data backups, disaster recovery, and compliance with industry standards are all met, allowing businesses to concentrate on their core competencies and innovation while leaving the complexity of IT infrastructure management to the professionals. The selection of the finest cloud services provider is a multi-attribute decision-making problem and thus, in this article, we investigate the selection of the finest cloud services provider by employing a multi-attribute decision-making technique using the invention of hesitant bipolar complex fuzzy set. The hesitant bipolar complex fuzzy sets deal not only with the data involving complex and hesitant information but also the data of dual aspects that are both positive and negative because a lot of real-life situation contains information that has hesitancy, 2 nd dimension, and a dual aspect simultaneously. Furthermore, in this manuscript, using the structure of a hesitant bipolar complex fuzzy set we initiate numerous aggregation operators. Under the environment of the proposed methodology, we invent different aggregation operators such as hesitant bipolar complex fuzzy Dombi weighted averaging, hesitant bipolar complex fuzzy Dombi ordered weighted averaging, hesitant bipolar complex fuzzy Dombi hybrid averaging, hesitant bipolar complex fuzzy Dombi weighted geometric, hesitant bipolar complex fuzzy Dombi ordered weighted geometric and hesitant bipolar complex fuzzy Dombi hybrid geometric operators. All these operators are used to solve different situations at different times. When any decision-maker wants to solve hesitation under a complex environment with 2 nd dimensions then these operators are very useful. Without proposed operators, we cannot handle the above situations because no doubt different tools for different situations are available in the market but there is no tool available for solving hesitant bipolar complex fuzzy information. Afterward, we devise a technique of multi-attribute decision-making for tackling genuine life decision-making dilemmas under the setting of hesitant bipolar complex fuzzy sets. We investigate a case study associated with cloud service providers by employing the invented technique of decision-making. In the end, we compare our newly suggested work with a few other current theories to show the effectiveness of our work. INDEX TERMSCloud services; cloud services provider; hesitant bipolar complex fuzzy set; MADM.

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“…Proof: By mathematical induction to prove the above statement. Let ŉ = 2, the left side of (20) becomes…”

Section: Definition 16: Letmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Selection of Cloud Services Provider by Utilizing Multi-Attribute Decision-Making Based on Hesitant Bipolar Complex Fuzzy Dombi Aggregation Operators

Aslam,

Waqas,

Rehman

et al. 2024

IEEE Access

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show abstract

“…Meanwhile, Huynh et al [60] developed a method to optimize the magnification ratio of a flexible hinge displacement amplifier mechanism through mathematical modeling and simulation, demonstrating the significant impact of design variables on the magnification ratio. Batool et al [61] proposed efficient aggregation operators based on single-valued neutrosophic hesitant fuzzy sets for optimization and computational intelligence, which were demonstrated to be effective in a practical application for wireless charging station selection. Akram et al [62] proposed novel methods, such as the Fermatean fuzzy DEA (FFDEA) method for solving the Fermatean fuzzy multi-objective transportation problem (MOTP), a new method for solving interval-valued Fermatean fuzzy fractional transportation problems (IVFFFTPs) using triangular interval-valued Fermatean fuzzy numbers [63], and a compromise approach for solving the multi-objective transportation problem using Fermatean fuzzy sets and triangular Fermatean fuzzy numbers [64].…”

Section: Introductionmentioning

confidence: 99%

Extremal Solutions for Surface Energy Minimization: Bicubically Blended Coons Patches

Ahmad,

Naz,

Buttar

et al. 2023

Symmetry

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A Coons patch is characterized by a finite set of boundary curves, which are dependent on the choice of blending functions. For a bicubically blended Coons patch (BBCP), the Hermite cubic polynomials (interpolants) are used as blending functions. A BBCP comprises information about its four corner points, including the curvature represented by eight tangent vectors, as well as the twisting behavior determined by the four twist vectors at these corner points. The interior shape of the BBCP depends not only on the tangent vectors at the corner points but on the twist vectors as well. The alteration in the twist vectors at the corner points can change the interior shape of the BBCP even for the same arrangement of tangent vectors at these corner points. In this study, we aim to determine the optimal twist vectors that would make the surface an extremal of the minimal energy functional. To achieve this, we obtain the constraints on the optimal twist vectors (MPDs) of the BBCP for the specified corner points by computing the extremal of the Dirichlet and quasi-harmonic functionals over the entire surface with respect to the twist vectors. These twist vectors can then be used to construct various quasi-minimal and quasi-harmonic BBCPs by varying corner points and tangent vectors. The optimization techniques involve minimizing a functional subject to certain constraints. The methods used to optimize twist vectors of BBCPs can have potential applications in various fields. They can be applied to fuzzy optimal control problems, allowing us to find the solution of complex and uncertain systems with fuzzy constraints. They provide us an opportunity to incorporate symmetry considerations for the partial differential equations associated with minimal surface equations, an outcome of zero-mean curvature for such surfaces. By exploring and utilizing the underlying symmetries, the optimization strategies can be further enhanced in terms of robustness and adaptability.

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A promising approach with confidence level aggregation operators based on single-valued neutrosophic rough sets

Kamran,

Ashraf,

Hameed

2023

Soft Comput

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An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators

Cited by 6 publications

References 51 publications

Selection of Cloud Services Provider by Utilizing Multi-Attribute Decision-Making Based on Hesitant Bipolar Complex Fuzzy Dombi Aggregation Operators

Selection of Cloud Services Provider by Utilizing Multi-Attribute Decision-Making Based on Hesitant Bipolar Complex Fuzzy Dombi Aggregation Operators

Extremal Solutions for Surface Energy Minimization: Bicubically Blended Coons Patches

A promising approach with confidence level aggregation operators based on single-valued neutrosophic rough sets

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