New Types of Pythagorean Fuzzy Modules and Applications in Medical Diagnosis
In this article, we discuss several distinct categories of pythagorean fuzzy modules, study pythagorean fuzzy relations, and provide applications in the field of medical diagnosis. The concept of pythagorean fuzzy prime modules, along with its characteristics, is presented. In addition,an investigation is conducted into a pythagorean fuzzy multiplication module. Moreover, pythagorean fuzzy relations and pythagorean fuzzy homomorphisms are introduced. By making use of pythagorean fuzzy sets and pythagorean fuzzy relations., we propose a novel approach to the medical diagnosis process. This approach is achieved by pointing the smallest distance between the symptoms of the patients and the symptoms related to diseases.
 Krassimir T Atanassov. Intuitionistic fuzzy sets. Springer, 1999.
 Harish Garg. Generalised pythagorean fuzzy geometric interactive aggregation operators using
einstein operations and their application to decision making. Journal of Experimental &
Theoretical Artificial Intelligence, 30(6):763–794, 2018.
 Harish Garg. A linear programming method based on an improved score function for intervalvalued
pythagorean fuzzy numbers and its application to decision-making. International Journal
of Uncertainty, Fuzziness and Knowledge-Based Systems, 26(01):67–80, 2018.
 Harish Garg. Linguistic interval-valued pythagorean fuzzy sets and their application to multiple
attribute group decision-making process. Cognitive Computation, 12(6):1313–1337, 2020.
 Vahid Mohagheghi, S Meysam Mousavi, and Behnam Vahdani. Enhancing decision-making
flexibility by introducing a new last aggregation evaluating approach based on multi-criteria
group decision making and pythagorean fuzzy sets. Applied Soft Computing, 61:527–535,
 Roan Thi Ngan, Mumtaz Ali, Hamido Fujita, Mohamed Abdel-Basset, Nguyen Long Giang,
Gunasekaran Manogaran, MK Priyan, et al. A new representation of intuitionistic fuzzy
systems and their applications in critical decision making. IEEE Intelligent Systems, 35(1):6–
 Roan Thi Ngan, Mumtaz Ali, and Le Hoang Son. δ-equality of intuitionistic fuzzy sets: a new
proximity measure and applications in medical diagnosis. Applied Intelligence, 48:499–525,
 Luis P´erez-Dom´ınguez, Luis Alberto Rodr´ıguez-Pic´on, Alejandro Alvarado-Iniesta, David Luviano
Cruz, and Zeshui Xu. Moora under pythagorean fuzzy set for multiple criteria decision
making. Complexity, 2018, 2018.
 K Rahman, S Abdullah, M Shakeel, M Sajjad Ali Khan, and Murad Ullah. Interval-valued
pythagorean fuzzy geometric aggregation operators and their application to group decision
making problem. Cogent Mathematics, 4(1):1338638, 2017.
 Fuyuan Xiao and Weiping Ding. Divergence measure of pythagorean fuzzy sets and its application
in medical diagnosis. Applied Soft Computing, 79:254–267, 2019.
 Yige Xue and Yong Deng. Decision making under measure-based granular uncertainty with
intuitionistic fuzzy sets. Applied Intelligence, 51(8):6224–6233, 2021.
 Ronald R Yager. Pythagorean fuzzy subsets. In 2013 joint IFSA world congress and NAFIPS
annual meeting (IFSA/NAFIPS), pages 57–61. IEEE, 2013.
 Miin-Shen Yang, Zahid Hussain, et al. Fuzzy entropy for pythagorean fuzzy sets with application
to multicriterion decision making. Complexity, 2018, 2018.
 Lotfi A Zadeh. Fuzzy sets. Information and control, 8(3):338–353, 1965.
 Qianli Zhou, Hongming Mo, and Yong Deng. A new divergence measure of pythagorean fuzzy
sets based on belief function and its application in medical diagnosis. Mathematics, 8(1):142,
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