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

In: Pythagorean Fuzzy Sets

Author

Listed:
  • 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)

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.

Suggested Citation

  • Muhammet Deveci & Levent Eriskin & Mumtaz Karatas, 2021. "A Survey on Recent Applications of Pythagorean Fuzzy Sets: A State-of-the-Art Between 2013 and 2020," Springer Books, in: Harish Garg (ed.), Pythagorean Fuzzy Sets, pages 3-38, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-1989-2_1
    DOI: 10.1007/978-981-16-1989-2_1
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