Comparison measures for Pythagorean $ m $-polar fuzzy sets and their applications to robotics and movie recommender system

Wiyada Kumam; Khalid Naeem; Muhammad Riaz; Muhammad Jabir Khan; Poom Kumam; Wiyada Kumam; Khalid Naeem; Muhammad Riaz; Muhammad Jabir Khan; Poom Kumam

doi:10.3934/math.2023524

AIMS Mathematics

2023, Volume 8, Issue 5: 10357-10378. doi: 10.3934/math.2023524

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Comparison measures for Pythagorean $ m $-polar fuzzy sets and their applications to robotics and movie recommender system

1.
Applied Mathematics for Science and Engineering Research Unit (AMSERU), Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Pathum Thani 12110, Thailand
2.
Department of Mathematics, FG Degree College, Lahore Cantt., Pakistan
3.
Department of Mathematics, University of the Punjab, Lahore, Pakistan
4.
Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
5.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Received: 06 October 2022 Revised: 07 December 2022 Accepted: 10 January 2023 Published: 28 February 2023
MSC : 03E72, 94D05, 90B50

The perception of comparison measures is vitally significant in more or less every scientific field. They have many practical implementations in areas such as medicine, molecular biology, management, meteorology, etc. In this article, novel similarity, distance, and correlation comparison measures for Pythagorean $ m $-polar fuzzy sets are proposed. The leading qualities of these comparison measures are investigated. The numerical examples are provided to demonstrate their formulation. In P$ m $FSs, elements are allowed to duplicate finitely, which supports the usage of the measures put forward in here-and-now situations where we ponder time and again to reach some decision. The three algorithms are proposed to discuss the applications of comparison measures for P$ m $FSs in robotics and movie recommender systems.
- comparison measure,
- Pythagorean $ m $-polar fuzzy sets,
- robotics and movie recommender system
Citation: Wiyada Kumam, Khalid Naeem, Muhammad Riaz, Muhammad Jabir Khan, Poom Kumam. Comparison measures for Pythagorean $ m $-polar fuzzy sets and their applications to robotics and movie recommender system[J]. AIMS Mathematics, 2023, 8(5): 10357-10378. doi: 10.3934/math.2023524

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Abstract

The perception of comparison measures is vitally significant in more or less every scientific field. They have many practical implementations in areas such as medicine, molecular biology, management, meteorology, etc. In this article, novel similarity, distance, and correlation comparison measures for Pythagorean $ m $-polar fuzzy sets are proposed. The leading qualities of these comparison measures are investigated. The numerical examples are provided to demonstrate their formulation. In P$ m $FSs, elements are allowed to duplicate finitely, which supports the usage of the measures put forward in here-and-now situations where we ponder time and again to reach some decision. The three algorithms are proposed to discuss the applications of comparison measures for P$ m $FSs in robotics and movie recommender systems.

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