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 language | English |
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Title of host publication | Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference |
Editors | Cengiz Kahraman, Irem Ucal Sari, Basar Oztaysi, Sezi Cevik Onar, Selcuk Cebi, A. Çağrı Tolga |
Publisher | Springer Science and Business Media Deutschland GmbH |
Pages | 376-388 |
Number of pages | 13 |
ISBN (Print) | 9783031397738 |
DOIs | |
Publication status | Published - 2023 |
Event | Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference - Istanbul, Turkey Duration: 22 Aug 2023 → 24 Aug 2023 |
Publication series
Name | Lecture Notes in Networks and Systems |
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Volume | 758 LNNS |
ISSN (Print) | 2367-3370 |
ISSN (Electronic) | 2367-3389 |
Conference
Conference | Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference |
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Country/Territory | Turkey |
City | Istanbul |
Period | 22/08/23 → 24/08/23 |
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