Approximation by modified Bernstein polynomials based on real parameters

Rajawat, Ruchi Singh; Singh, Karunesh Kumar; Mishra, Vishnu Narayan

doi:10.3934/mfc.2023005

Cited by 3 publications

(3 citation statements)

References 25 publications

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“…Definition 1: [ 23 ] A fuzzy set A is a universe of discourse X characterized by a membership function → [0, 1], where , ∀ x ∈ X, represents the degree of truth of x in fuzzy set A .…”

Section: Methodsmentioning

confidence: 99%

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A new multi-criteria decision making method for the selection of construction contractors using interval valued fuzzy set

Nithya,

Thota,

Rathour

et al. 2024

BMC Res Notes

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Objective This article introduces a novel approach called Digital Weighted Multi Criteria Decision Making (DWMCDM) that employs interval valued fuzzy sets to select the best contractor for building projects. The contractor is chosen based on the pre-qualification and bid evaluation phases. In the first phase, the distance between the actual and required skills of the significant criteria is determined, and it is then converted into digital weighted distances to identify the maximum number of criteria related to the specific project of each contractor. The second step ranks the best contractor based on the bid price and digital weighted distances. Results The suggested technique integrates the pre-qualification and bid review phases to address project award delays and other restrictions. Finally, a real-world application is addressed to demonstrate the applicability of the proposed approach to any type of interval valued fuzzy inputs.

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Section: Methodsmentioning

confidence: 99%

“…To face the factors of uncertain and imprecise information in real life situation, many theories have been developed, e.g. fuzzy sets [ 17 , 23 ], approximation theory [ 24 – 26 ] etc. Intuitionistic fuzzy sets (IFS) was introduced by [ 27 ] to assign non membership grades and it was studied by [ 28 , 29 ].…”

Section: Introductionmentioning

confidence: 99%

A new multi-criteria decision making method for the selection of construction contractors using interval valued fuzzy set

Nithya,

Thota,

Rathour

et al. 2024

BMC Res Notes

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show abstract

“…Microsoft Excel and Maple implementations of the proposed algorithm are presented. Maple and Excel implementations with sample computations for differential and transcendental equations are available in the literature, see for example [ 18 , 19 , 26 , 27 ] and there are various techniques for different type of applications, see [ 20 , 28 – 35 ], the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

A derivative-free root-finding algorithm using exponential method and its implementation

Thota,

Awad,

Shanmugasundaram

et al. 2023

BMC Res Notes

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Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations.

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