Abstract
Fuzzy sets extensions have been often used in the modeling of problems including vagueness and impreciseness in order to better define the membership functions together with the hesitancy of decision makers. More than 20 different extensions of ordinary fuzzy sets have appeared in the literature after the introductions of ordinary fuzzy sets by Zadeh (1965). These sets involve interval-type fuzzy sets, type-2 fuzzy sets, hesitant fuzzy sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, q-rung orthopair fuzzy sets, spherical fuzzy sets, picture fuzzy sets, fermatean fuzzy sets, etc. Mainly, these extensions can be divided into two classes: extensions with two independent membership parameters and extensions with three independent membership parameters. In this paper, we briefly classify these extensions and present some comparative graphical illustrations.
Original language | English |
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Title of host publication | Intelligent and Fuzzy Techniques |
Subtitle of host publication | Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference |
Editors | Cengiz Kahraman, Sezi Cevik Onar, Basar Oztaysi, Irem Ucal Sari, Selcuk Cebi, A. Cagri Tolga |
Publisher | Springer |
Pages | 1655-1665 |
Number of pages | 11 |
ISBN (Print) | 9783030511555 |
DOIs | |
Publication status | Published - 2021 |
Event | International Conference on Intelligent and Fuzzy Systems, INFUS 2020 - Istanbul, Turkey Duration: 21 Jul 2020 → 23 Jul 2020 |
Publication series
Name | Advances in Intelligent Systems and Computing |
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Volume | 1197 AISC |
ISSN (Print) | 2194-5357 |
ISSN (Electronic) | 2194-5365 |
Conference
Conference | International Conference on Intelligent and Fuzzy Systems, INFUS 2020 |
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Country/Territory | Turkey |
City | Istanbul |
Period | 21/07/20 → 23/07/20 |
Bibliographical note
Publisher Copyright:© 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.
Keywords
- Extensions
- Fuzzy sets
- Intuitionistic fuzzy sets
- Picture fuzzy sets
- Pythagorean fuzzy sets
- q-rung orthopair fuzzy sets
- Spherical fuzzy sets