An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods

Basar Oztaysi; Sezi Cevik Onar; Cengiz Kahraman

doi:10.1007/978-3-031-39777-6_46

An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods

Basar Oztaysi^*, Sezi Cevik Onar, Cengiz Kahraman

^*Bu çalışma için yazışmadan sorumlu yazar

Endüstri Mühendisliği Bölümü

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

1 Atıf (Scopus)

Özet

Analytic Hierarchy Process (AHP) is one of the most popular method in multi-criteria decision making and it has been extended by various extensions of fuzzy sets. The method uses linguistic terms for expert judgements and these judgements are represented by crisp or fuzzy numbers in different methods. Although there are various extension of AHP, such as Type-2 Fuzzy AHP, Hesitant Fuzzy AHP, Intuitionistic fuzzy AHP, Spherical fuzzy AHP, there are no studies on the comparison of the methods. In this study, we try to compare five classical AHP and one Fuzzy AHP (Bukley’s AHP) for 3 × 3 and 4 × 4 matrices. To this end, all possible matrices are created and solved. In order to make a comparison the ranking result and weight results are used. The results show that the difference between the methods increase as the matrix size increase. It is also observed that, the methods provide similar results for consistent matrices.

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	382-388
Sayfa sayısı	7
ISBN (Basılı)	9783031397769
DOI'lar	https://doi.org/10.1007/978-3-031-39777-6_46
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	759 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

10.1007/978-3-031-39777-6_46

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Oztaysi, B., Onar, S. C., & Kahraman, C. (2023). An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods. 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. 382-388). (Lecture Notes in Networks and Systems; Hac. 759 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-39777-6_46

Oztaysi, Basar ; Onar, Sezi Cevik ; Kahraman, Cengiz. / An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods. 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. 382-388 (Lecture Notes in Networks and Systems).

@inproceedings{3ff77813bb784719b3af2d43f91abc1a,

title = "An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods",

abstract = "Analytic Hierarchy Process (AHP) is one of the most popular method in multi-criteria decision making and it has been extended by various extensions of fuzzy sets. The method uses linguistic terms for expert judgements and these judgements are represented by crisp or fuzzy numbers in different methods. Although there are various extension of AHP, such as Type-2 Fuzzy AHP, Hesitant Fuzzy AHP, Intuitionistic fuzzy AHP, Spherical fuzzy AHP, there are no studies on the comparison of the methods. In this study, we try to compare five classical AHP and one Fuzzy AHP (Bukley{\textquoteright}s AHP) for 3 × 3 and 4 × 4 matrices. To this end, all possible matrices are created and solved. In order to make a comparison the ranking result and weight results are used. The results show that the difference between the methods increase as the matrix size increase. It is also observed that, the methods provide similar results for consistent matrices.",

keywords = "Analytic Hierarch Process, Fuzzy AHP, Fuzzy Sets",

author = "Basar Oztaysi and Onar, {Sezi Cevik} 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",

year = "2023",

doi = "10.1007/978-3-031-39777-6_46",

language = "English",

isbn = "9783031397769",

series = "Lecture Notes in Networks and Systems",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "382--388",

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

booktitle = "Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference",

address = "Germany",

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Oztaysi, B , Onar, SC & Kahraman, C 2023, An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods. 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. 759 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 382-388, Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference, Istanbul, Turkey, 22/08/23. https://doi.org/10.1007/978-3-031-39777-6_46

An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods. / Oztaysi, Basar ; Onar, Sezi Cevik ; 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. 382-388 (Lecture Notes in Networks and Systems; Hac. 759 LNNS).

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

TY - GEN

T1 - An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods

AU - Oztaysi, Basar

AU - Onar, Sezi Cevik

AU - Kahraman, Cengiz

PY - 2023

Y1 - 2023

N2 - Analytic Hierarchy Process (AHP) is one of the most popular method in multi-criteria decision making and it has been extended by various extensions of fuzzy sets. The method uses linguistic terms for expert judgements and these judgements are represented by crisp or fuzzy numbers in different methods. Although there are various extension of AHP, such as Type-2 Fuzzy AHP, Hesitant Fuzzy AHP, Intuitionistic fuzzy AHP, Spherical fuzzy AHP, there are no studies on the comparison of the methods. In this study, we try to compare five classical AHP and one Fuzzy AHP (Bukley’s AHP) for 3 × 3 and 4 × 4 matrices. To this end, all possible matrices are created and solved. In order to make a comparison the ranking result and weight results are used. The results show that the difference between the methods increase as the matrix size increase. It is also observed that, the methods provide similar results for consistent matrices.

AB - Analytic Hierarchy Process (AHP) is one of the most popular method in multi-criteria decision making and it has been extended by various extensions of fuzzy sets. The method uses linguistic terms for expert judgements and these judgements are represented by crisp or fuzzy numbers in different methods. Although there are various extension of AHP, such as Type-2 Fuzzy AHP, Hesitant Fuzzy AHP, Intuitionistic fuzzy AHP, Spherical fuzzy AHP, there are no studies on the comparison of the methods. In this study, we try to compare five classical AHP and one Fuzzy AHP (Bukley’s AHP) for 3 × 3 and 4 × 4 matrices. To this end, all possible matrices are created and solved. In order to make a comparison the ranking result and weight results are used. The results show that the difference between the methods increase as the matrix size increase. It is also observed that, the methods provide similar results for consistent matrices.

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SN - 9783031397769

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BT - Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference

A2 - Kahraman, Cengiz

A2 - Sari, Irem Ucal

A2 - Oztaysi, Basar

A2 - Cevik Onar, Sezi

A2 - Cebi, Selcuk

A2 - Tolga, A. Çağrı

PB - Springer Science and Business Media Deutschland GmbH

T2 - Intelligent and Fuzzy Systems - Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference

Y2 - 22 August 2023 through 24 August 2023

ER -

Oztaysi B , Onar SC , Kahraman C. An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods. 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. 382-388. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-39777-6_46

An Initial Research on Comparison of Fuzzy AHP and Classical AHP Methods

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Belgeye Erişim

Diğer Dosyalar ve Linkler

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