https://doi.org/10.1140/epjp/s13360-024-04996-5
Regular Article
Distance measure and its application to decision making, medical diagnosis, and pattern recognition problems under complex picture fuzzy sets
1
Department of Mathematics, Abbottabad University of Science and Technology, 22500, Abbottabad, Pakistan
2
Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000, Kajang, Selangor, Malaysia
3
Mathematics Research Center, Near East University, Mersin 10, 99138, Nicosia, Turkey
4
Department of Mathematics, College of Science, Qassim University, 51452, Buraydah, Saudi Arabia
b
fawad.hussain30@gmail.com
d
rashid_ash2000@yahoo.com
Received:
26
December
2023
Accepted:
11
February
2024
Published online:
12
March
2024
The complex fuzzy sets, complex intuitionistic fuzzy sets, complex pythagorean fuzzy sets, and complex fermatean fuzzy sets cannot handle the neutrality grade of an object that plays an important role in medical diagnosis, network analysis, signal processing, human voting, and personnel selection problems. Therefore, in this article, we introduced the notion of complex picture fuzzy sets and investigated their basic properties. The complex picture fuzzy sets are effective and powerful tools for many ambiguous and uncertain problems. Distance measures play an essential role in establishing a useful link from the expression of imprecise and uncertain information to various real life applications, including machine learning, market predictions, decision-making processes, clustering, and pattern recognition. Therefore, in this study, we developed some measures of distances under complex picture fuzzy environments. Finally, we developed an algorithm using complex picture fuzzy environments and applied it to a practical application concerning decision making, medical diagnosis, and pattern recognition problems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
