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

^*Corresponding author for this work

Department of Industrial Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

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’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.

Original language	English
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	382-388
Number of pages	7
ISBN (Print)	9783031397769
DOIs	https://doi.org/10.1007/978-3-031-39777-6_46
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
Volume	759 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
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

Analytic Hierarch Process
Fuzzy AHP
Fuzzy Sets

Access to Document

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

Cite this

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; Vol. 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. editor / 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).

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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.",

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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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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, vol. 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; Vol. 759 LNNS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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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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A2 - Cevik Onar, Sezi

A2 - Cebi, Selcuk

A2 - Tolga, A. Çağrı

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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, editors, 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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Keywords

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