A Survey on Recent Applications of Pythagorean Fuzzy Sets: A State-of-the-Art Between 2013 and 2020

Muhammet Deveci (), Levent Eriskin () and Mumtaz Karatas ()
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Muhammet Deveci: Turkish Naval Academy, National Defence University, Department of Industrial Engineering
Levent Eriskin: Turkish Naval Academy, National Defence University, Department of Industrial Engineering
Mumtaz Karatas: Turkish Naval Academy, National Defence University, Department of Industrial Engineering

A chapter in Pythagorean Fuzzy Sets, 2021, pp 3-38 from Springer

Abstract: Abstract Pythagorean fuzzy sets (PFSs) have attracted the attention of researchers in recent years as it is very useful in modeling uncertain information. The main aim of this study is to conduct a comprehensive literature review to classify, analyze, and interpret the existing research, and to identify the research trends for the applications of the PFSs. For this purpose, this study firstly justifies the definitions, operations, and measures of PFSs. Then, the existing research from the literature is reviewed based on several dimensions which are believed to elicit relevant information. With this multi-dimensional survey approach, we seek to provide a deeper understanding and awareness of how previous research has incorporated the PFSs in different problem domains. At this stage, we particularly discuss the application areas of PFSs in multi-criteria decision-making as well as methods and tools used in the solution processes. Finally, the insights regarding the future research directions, challenges, and limitations are given.

Keywords: Pythagorean fuzzy set; Systematic survey; Aggregation operators; Distance measure; Multi-criteria decision-making (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1989-2_1

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DOI: 10.1007/978-981-16-1989-2_1

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