Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review

Cengiz Kahraman; Basar Oztaysi; Irem Otay; Sezi Cevik Onar

doi:10.1007/978-3-030-51156-2_193

Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review

Cengiz Kahraman^*, Basar Oztaysi, Irem Otay, Sezi Cevik Onar

^*Bu çalışma için yazışmadan sorumlu yazar

Endüstri Mühendisliği Bölümü

Istanbul Bilgi University

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

7 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Intelligent and Fuzzy Techniques
Ana bilgisayar yayını alt yazısı	Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference
Editörler	Cengiz Kahraman, Sezi Cevik Onar, Basar Oztaysi, Irem Ucal Sari, Selcuk Cebi, A. Cagri Tolga
Yayınlayan	Springer
Sayfalar	1655-1665
Sayfa sayısı	11
ISBN (Basılı)	9783030511555
DOI'lar	https://doi.org/10.1007/978-3-030-51156-2_193
Yayın durumu	Yayınlandı - 2021
Etkinlik	International Conference on Intelligent and Fuzzy Systems, INFUS 2020 - Istanbul, Turkey Süre: 21 Tem 2020 → 23 Tem 2020

Yayın serisi

Adı	Advances in Intelligent Systems and Computing
Hacim	1197 AISC
ISSN (Basılı)	2194-5357
ISSN (Elektronik)	2194-5365

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

???event.eventtypes.event.conference???	International Conference on Intelligent and Fuzzy Systems, INFUS 2020
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	21/07/20 → 23/07/20

Bibliyografik not

Publisher Copyright:
© 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.

Belgeye Erişim

10.1007/978-3-030-51156-2_193

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Kahraman, C., Oztaysi, B., Otay, I., & Onar, S. C. (2021). Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review. In C. Kahraman, S. Cevik Onar, B. Oztaysi, I. U. Sari, S. Cebi, & A. C. Tolga (Eds.), Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference (pp. 1655-1665). (Advances in Intelligent Systems and Computing; Hac. 1197 AISC). Springer. https://doi.org/10.1007/978-3-030-51156-2_193

Kahraman, Cengiz ; Oztaysi, Basar ; Otay, Irem et al. / Extensions of Ordinary Fuzzy Sets : A Comparative Literature Review. Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. editör / Cengiz Kahraman ; Sezi Cevik Onar ; Basar Oztaysi ; Irem Ucal Sari ; Selcuk Cebi ; A. Cagri Tolga. Springer, 2021. pp. 1655-1665 (Advances in Intelligent Systems and Computing).

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title = "Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review",

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.",

keywords = "Extensions, Fuzzy sets, Intuitionistic fuzzy sets, Picture fuzzy sets, Pythagorean fuzzy sets, Spherical fuzzy sets, q-rung orthopair fuzzy sets",

author = "Cengiz Kahraman and Basar Oztaysi and Irem Otay and Onar, {Sezi Cevik}",

note = "Publisher Copyright: {\textcopyright} 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Intelligent and Fuzzy Systems, INFUS 2020 ; Conference date: 21-07-2020 Through 23-07-2020",

year = "2021",

doi = "10.1007/978-3-030-51156-2_193",

language = "English",

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publisher = "Springer",

pages = "1655--1665",

editor = "Cengiz Kahraman and {Cevik Onar}, Sezi and Basar Oztaysi and Sari, {Irem Ucal} and Selcuk Cebi and Tolga, {A. Cagri}",

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Kahraman, C , Oztaysi, B, Otay, I & Onar, SC 2021, Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review. in C Kahraman, S Cevik Onar, B Oztaysi, IU Sari, S Cebi & AC Tolga (eds), Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. Advances in Intelligent Systems and Computing, hac. 1197 AISC, Springer, pp. 1655-1665, International Conference on Intelligent and Fuzzy Systems, INFUS 2020, Istanbul, Turkey, 21/07/20. https://doi.org/10.1007/978-3-030-51156-2_193

Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review. / Kahraman, Cengiz ; Oztaysi, Basar; Otay, Irem et al.
Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. ed. / Cengiz Kahraman; Sezi Cevik Onar; Basar Oztaysi; Irem Ucal Sari; Selcuk Cebi; A. Cagri Tolga. Springer, 2021. p. 1655-1665 (Advances in Intelligent Systems and Computing; Hac. 1197 AISC).

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

TY - GEN

T1 - Extensions of Ordinary Fuzzy Sets

T2 - International Conference on Intelligent and Fuzzy Systems, INFUS 2020

AU - Kahraman, Cengiz

AU - Oztaysi, Basar

AU - Otay, Irem

AU - Onar, Sezi Cevik

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

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KW - Picture fuzzy sets

KW - Pythagorean fuzzy sets

KW - Spherical fuzzy sets

KW - q-rung orthopair fuzzy sets

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SN - 9783030511555

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BT - Intelligent and Fuzzy Techniques

A2 - Kahraman, Cengiz

A2 - Cevik Onar, Sezi

A2 - Oztaysi, Basar

A2 - Sari, Irem Ucal

A2 - Cebi, Selcuk

A2 - Tolga, A. Cagri

PB - Springer

Y2 - 21 July 2020 through 23 July 2020

ER -

Kahraman C , Oztaysi B, Otay I, Onar SC. Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review. In Kahraman C, Cevik Onar S, Oztaysi B, Sari IU, Cebi S, Tolga AC, editörler, Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. Springer. 2021. p. 1655-1665. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-3-030-51156-2_193

Extensions of Ordinary Fuzzy Sets: A Comparative Literature Review

Özet

Yayın serisi

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

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap