Fuzzy Sets and Their Extensions: Literature Review on Fuzzy Extensions of AHP

Cengiz Kahraman, Selcuk Cebi*, Basar Oztaysi, Sezi Cevik Onar

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)


The Analytic Hierarchy Process (AHP) has been extensively utilized in multi-criteria decision making. Fuzzy sets have been widely employed to extend it under vagueness and impreciseness. Recent extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets, picture fuzzy sets, Pythagorean fuzzy sets, spherical fuzzy sets and neutrosophic sets have been employed to obtain the new versions of AHP under uncertainty. This chapter offers a concise overview of the literature on the integration of AHP with the extensions of ordinary fuzzy sets.

Original languageEnglish
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages25
Publication statusPublished - 2023

Publication series

NameStudies in Fuzziness and Soft Computing
ISSN (Print)1434-9922
ISSN (Electronic)1860-0808

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.


  • Fuzzy AHP
  • Fuzzy sets
  • Fuzzy sets extensions
  • Intuitionistic fuzzy sets
  • Picture fuzzy sets


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