Robot sensors process based on generalized Fermatean normal different aggregation operators framework

Murugan Palanikumar; Nasreen Kausar; Harish Garg; Shams Forruque Ahmed; Cuauhtemoc Samaniego; Murugan Palanikumar; Nasreen Kausar; Harish Garg; Shams Forruque Ahmed; Cuauhtemoc Samaniego

doi:10.3934/math.2023832

AIMS Mathematics

2023, Volume 8, Issue 7: 16252-16277. doi: 10.3934/math.2023832

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Research article

Robot sensors process based on generalized Fermatean normal different aggregation operators framework

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, Graphics Era Deemed to be University, Dehradun 248002, Uttarakhand, India
5.
Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan
6.
College of Technical Engineering, The Islamic University, Najaf, Iraq
7.
Science and Math Program, Asian University for Women, Chattogram, Bangladesh
8.
American University of the Middle East, College of Business Administration, Egaila 54200, Kuwait

Received: 08 February 2023 Revised: 12 April 2023 Accepted: 18 April 2023 Published: 08 May 2023
MSC : 06D72, 03B52, 90B50

Novel methods for multiple attribute decision-making problems are presented in this paper using Type-Ⅱ Fermatean normal numbers. Type-Ⅱ Fermatean fuzzy sets are developed by further generalizing Fermatean fuzzy sets and neutrosophic sets. The Type-Ⅱ Fermatean fuzzy sets with basic aggregation operators are constructed. The concept of a Type-Ⅱ Fermatean normal number is compatible with both commutative and associative rules. This article presents a new proposal for Type-Ⅱ Fermatean normal weighted averaging, Type-Ⅱ Fermatean normal weighted geometric averaging, Type-Ⅱ generalized Fermatean normal weighted averaging, and Type-Ⅱ generalized Fermatean normal weighted geometric averaging. Furthermore, these operators can be used to develop an algorithm that solves MADM problems. Applications for the Euclidean distance and Hamming distances are discussed. Finally, the sets that arise as a result of their connection to algebraic operations are emphasized in our discourse. Examples of real-world applications of enhanced Hamming distances are presented. A sensor robot's most important components are computer science and machine tool technology. Four factors can be used to evaluate the quality of a robotics system: resolution, sensitivity, error and environment. The best alternative can be determined by comparing expert opinions with the criteria. As a result, the proposed models' outcomes are more precise and closer to integer number $ \delta $. To demonstrate the applicability and validity of the models under consideration, several existing models are compared with the ones that have been proposed.
- MADM,
- aggregating operator,
- Type-Ⅱ FNWA,
- Type-Ⅱ FNWG,
- Type-Ⅱ GFNWA,
- Type-Ⅱ GFNWG
Citation: Murugan Palanikumar, Nasreen Kausar, Harish Garg, Shams Forruque Ahmed, Cuauhtemoc Samaniego. Robot sensors process based on generalized Fermatean normal different aggregation operators framework[J]. AIMS Mathematics, 2023, 8(7): 16252-16277. doi: 10.3934/math.2023832

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Abstract

Novel methods for multiple attribute decision-making problems are presented in this paper using Type-Ⅱ Fermatean normal numbers. Type-Ⅱ Fermatean fuzzy sets are developed by further generalizing Fermatean fuzzy sets and neutrosophic sets. The Type-Ⅱ Fermatean fuzzy sets with basic aggregation operators are constructed. The concept of a Type-Ⅱ Fermatean normal number is compatible with both commutative and associative rules. This article presents a new proposal for Type-Ⅱ Fermatean normal weighted averaging, Type-Ⅱ Fermatean normal weighted geometric averaging, Type-Ⅱ generalized Fermatean normal weighted averaging, and Type-Ⅱ generalized Fermatean normal weighted geometric averaging. Furthermore, these operators can be used to develop an algorithm that solves MADM problems. Applications for the Euclidean distance and Hamming distances are discussed. Finally, the sets that arise as a result of their connection to algebraic operations are emphasized in our discourse. Examples of real-world applications of enhanced Hamming distances are presented. A sensor robot's most important components are computer science and machine tool technology. Four factors can be used to evaluate the quality of a robotics system: resolution, sensitivity, error and environment. The best alternative can be determined by comparing expert opinions with the criteria. As a result, the proposed models' outcomes are more precise and closer to integer number $ \delta $. To demonstrate the applicability and validity of the models under consideration, several existing models are compared with the ones that have been proposed.

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