Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators

Murugan Palanikumar; Nasreen Kausar; Harish Garg; Aiyared Iampan; Seifedine Kadry; Mohamed Sharaf; Murugan Palanikumar; Nasreen Kausar; Harish Garg; Aiyared Iampan; Seifedine Kadry; Mohamed Sharaf

doi:10.3934/math.2023889

AIMS Mathematics

2023, Volume 8, Issue 8: 17402-17432. doi: 10.3934/math.2023889

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Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators

1.
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
2.
Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler 34220, Istanbul, Turkey
3.
School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala 147004, Punjab, India
4.
Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, Uttarakhand, India
5.
Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan
6.
Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
7.
Research Center (AIRC), Ajman University, Ajman, 346, United Arab Emirates
8.
Department of Applied Data Science, Noroff Uniersity College, Kristinasand, Norway
9.
Industrial Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia

Received: 03 March 2023 Revised: 28 April 2023 Accepted: 11 May 2023 Published: 19 May 2023
MSC : 90B50, 06D72, 03B52

We introduce the concepts of multiple attribute decision-making (MADM) using square root neutrosophic normal interval-valued sets (SRNSNIVS). The square root neutrosophic (SRNS), interval-valued NS, and neutrosophic normal interval-valued (NSNIV) sets are extensions of SRNSNIVS. A historical analysis of several aggregating operations is presented in this article. In this article, we discuss a novel idea for the square root NSNIV weighted averaging (SRNSNIVWA), NSNIV weighted geometric (SRNSNIVWG), generalized SRNSNIV weighted averaging (GSRNSNIVWA), and generalized SRNSNIV weighted geometric (GSRNSNIVWG). Examples are provided for the use of Euclidean distances and Hamming distances. Various algebraic operations will be applied to these sets in this communication. This results in more accurate models and is closed to an integer $ \Delta $. A medical robotics system is described as combining computer science and machine tool technology. There are five types of robotics such as Pharma robotics, Robotic-assisted biopsy, Antibacterial nano-materials, AI diagnostics, and AI epidemiology. A robotics system should be selected based on four criteria, including robot controller features, affordable off-line programming software, safety codes, and the manufacturer's experience and reputation. Using expert judgments and criteria, we will be able to decide which options are the most appropriate. Several of the proposed and current models are also compared in order to demonstrate the reliability and usefulness of the models under study. Additionally, the findings of the study are fascinating and intriguing.
Citation: Murugan Palanikumar, Nasreen Kausar, Harish Garg, Aiyared Iampan, Seifedine Kadry, Mohamed Sharaf. Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators[J]. AIMS Mathematics, 2023, 8(8): 17402-17432. doi: 10.3934/math.2023889

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Abstract

We introduce the concepts of multiple attribute decision-making (MADM) using square root neutrosophic normal interval-valued sets (SRNSNIVS). The square root neutrosophic (SRNS), interval-valued NS, and neutrosophic normal interval-valued (NSNIV) sets are extensions of SRNSNIVS. A historical analysis of several aggregating operations is presented in this article. In this article, we discuss a novel idea for the square root NSNIV weighted averaging (SRNSNIVWA), NSNIV weighted geometric (SRNSNIVWG), generalized SRNSNIV weighted averaging (GSRNSNIVWA), and generalized SRNSNIV weighted geometric (GSRNSNIVWG). Examples are provided for the use of Euclidean distances and Hamming distances. Various algebraic operations will be applied to these sets in this communication. This results in more accurate models and is closed to an integer $ \Delta $. A medical robotics system is described as combining computer science and machine tool technology. There are five types of robotics such as Pharma robotics, Robotic-assisted biopsy, Antibacterial nano-materials, AI diagnostics, and AI epidemiology. A robotics system should be selected based on four criteria, including robot controller features, affordable off-line programming software, safety codes, and the manufacturer's experience and reputation. Using expert judgments and criteria, we will be able to decide which options are the most appropriate. Several of the proposed and current models are also compared in order to demonstrate the reliability and usefulness of the models under study. Additionally, the findings of the study are fascinating and intriguing.

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