Evolution of Fuzzy Sets: A Comprehensive Literature Review

Murat Gülbay*, Cengiz Kahraman

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Introduced by Zadeh (1965), ordinary fuzzy sets theory (OFS) has been widely used in many fields to handle uncertainty. Zadeh represented ordinary fuzzy sets with singletons with some elements whose degrees of membership of each element to the set is defined as [0,1] and non-membership of the elements represented by the complement of the membership degree to 1. The complementary feature of ordinary fuzzy sets was criticized by various researchers on the basis of lining up with the necessity that membership degree of an element should be also fuzzy and redundancy for the complementary feature of OFS. Based on these two criticisms, ordinary fuzzy sets have been successfully extended by many researchers to describe membership functions with more details using up to three parameters. This study deals with the evolution of fuzzy sets and their attraction in the literature based on the document statistics.

Original languageEnglish
Title of host publicationIntelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference
EditorsCengiz Kahraman, Irem Ucal Sari, Basar Oztaysi, Sezi Cevik Onar, Selcuk Cebi, A. Çağrı Tolga
PublisherSpringer Science and Business Media Deutschland GmbH
Pages376-388
Number of pages13
ISBN (Print)9783031397738
DOIs
Publication statusPublished - 2023
EventIntelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference - Istanbul, Turkey
Duration: 22 Aug 202324 Aug 2023

Publication series

NameLecture Notes in Networks and Systems
Volume758 LNNS
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389

Conference

ConferenceIntelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference
Country/TerritoryTurkey
CityIstanbul
Period22/08/2324/08/23

Bibliographical note

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

Keywords

  • Extension of ordinary fuzzy sets
  • Fuzzy sets
  • Ordinary fuzzy sets

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