Evolution of Fuzzy Sets: A Comprehensive Literature Review

Murat Gülbay; Cengiz Kahraman

doi:10.1007/978-3-031-39774-5_44

Evolution of Fuzzy Sets: A Comprehensive Literature Review

Murat Gülbay^*, Cengiz Kahraman

^*Bu çalışma için yazışmadan sorumlu yazar

Endüstri Mühendisliği Bölümü

Gaziantep University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference
Editörler	Cengiz Kahraman, Irem Ucal Sari, Basar Oztaysi, Sezi Cevik Onar, Selcuk Cebi, A. Çağrı Tolga
Yayınlayan	Springer Science and Business Media Deutschland GmbH
Sayfalar	376-388
Sayfa sayısı	13
ISBN (Basılı)	9783031397738
DOI'lar	https://doi.org/10.1007/978-3-031-39774-5_44
Yayın durumu	Yayınlandı - 2023
Etkinlik	Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference - Istanbul, Turkey Süre: 22 Ağu 2023 → 24 Ağu 2023

Yayın serisi

Adı	Lecture Notes in Networks and Systems
Hacim	758 LNNS
ISSN (Basılı)	2367-3370
ISSN (Elektronik)	2367-3389

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	22/08/23 → 24/08/23

Bibliyografik not

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

Belgeye Erişim

10.1007/978-3-031-39774-5_44

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Gülbay, M., & Kahraman, C. (2023). Evolution of Fuzzy Sets: A Comprehensive Literature Review. In C. Kahraman, I. U. Sari, B. Oztaysi, S. Cevik Onar, S. Cebi, & A. Ç. Tolga (Eds.), Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference (pp. 376-388). (Lecture Notes in Networks and Systems; Hac. 758 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-39774-5_44

Gülbay, Murat ; Kahraman, Cengiz. / Evolution of Fuzzy Sets : A Comprehensive Literature Review. Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference. editör / Cengiz Kahraman ; Irem Ucal Sari ; Basar Oztaysi ; Sezi Cevik Onar ; Selcuk Cebi ; A. Çağrı Tolga. Springer Science and Business Media Deutschland GmbH, 2023. pp. 376-388 (Lecture Notes in Networks and Systems).

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title = "Evolution of Fuzzy Sets: A Comprehensive Literature Review",

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.",

keywords = "Extension of ordinary fuzzy sets, Fuzzy sets, Ordinary fuzzy sets",

author = "Murat G{\"u}lbay and Cengiz Kahraman",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference ; Conference date: 22-08-2023 Through 24-08-2023",

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doi = "10.1007/978-3-031-39774-5_44",

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Gülbay, M & Kahraman, C 2023, Evolution of Fuzzy Sets: A Comprehensive Literature Review. in C Kahraman, IU Sari, B Oztaysi, S Cevik Onar, S Cebi & AÇ Tolga (eds), Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference. Lecture Notes in Networks and Systems, hac. 758 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 376-388, Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference, Istanbul, Turkey, 22/08/23. https://doi.org/10.1007/978-3-031-39774-5_44

Evolution of Fuzzy Sets: A Comprehensive Literature Review. / Gülbay, Murat; Kahraman, Cengiz.
Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference. ed. / Cengiz Kahraman; Irem Ucal Sari; Basar Oztaysi; Sezi Cevik Onar; Selcuk Cebi; A. Çağrı Tolga. Springer Science and Business Media Deutschland GmbH, 2023. p. 376-388 (Lecture Notes in Networks and Systems; Hac. 758 LNNS).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

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AU - Kahraman, Cengiz

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N2 - 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.

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Gülbay M, Kahraman C. Evolution of Fuzzy Sets: A Comprehensive Literature Review. In Kahraman C, Sari IU, Oztaysi B, Cevik Onar S, Cebi S, Tolga AÇ, editörler, Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference. Springer Science and Business Media Deutschland GmbH. 2023. p. 376-388. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-39774-5_44

Evolution of Fuzzy Sets: A Comprehensive Literature Review

Özet

Yayın serisi

???event.eventtypes.event.conference???

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

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