LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems

Cengiz Kahraman; Sezi Cevik Onar; Basar Öztaysi

doi:10.1007/978-3-031-39774-5_34

LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems

Cengiz Kahraman^*, Sezi Cevik Onar, Basar Öztaysi

^*Corresponding author for this work

Department of Industrial Engineering

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

Abstract

Spherical fuzzy sets (SFS) are recent extension of ordinary fuzzy sets, which are composed of three parameters whose squared sum is at most one. SFS are defined by discrete values of these three parameters and provide a larger assignment volume than picture fuzzy sets. We propose a non-linear continuous membership, non-membership, and/or hesitancy function for spherical fuzzy sets based on LR-type nonlinear fuzzy numbers. We illustrate their usage in multiple criteria supplier selection problems. The paper is concluded by limitations and suggestions for further research.

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	275-283
Number of pages	9
ISBN (Print)	9783031397738
DOIs	https://doi.org/10.1007/978-3-031-39774-5_34
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	758 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

LR-fuzzy numbers
MCDM
spherical fuzzy sets
supplier selection

Access to Document

10.1007/978-3-031-39774-5_34

Cite this

Kahraman, C., Onar, S. C., & Öztaysi, B. (2023). LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems. 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. 275-283). (Lecture Notes in Networks and Systems; Vol. 758 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-39774-5_34

Kahraman, Cengiz ; Onar, Sezi Cevik ; Öztaysi, Basar. / LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems. 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. 275-283 (Lecture Notes in Networks and Systems).

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title = "LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems",

abstract = "Spherical fuzzy sets (SFS) are recent extension of ordinary fuzzy sets, which are composed of three parameters whose squared sum is at most one. SFS are defined by discrete values of these three parameters and provide a larger assignment volume than picture fuzzy sets. We propose a non-linear continuous membership, non-membership, and/or hesitancy function for spherical fuzzy sets based on LR-type nonlinear fuzzy numbers. We illustrate their usage in multiple criteria supplier selection problems. The paper is concluded by limitations and suggestions for further research.",

keywords = "LR-fuzzy numbers, MCDM, spherical fuzzy sets, supplier selection",

author = "Cengiz Kahraman and Onar, {Sezi Cevik} and Basar {\"O}ztaysi",

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_34",

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

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Kahraman, C , Onar, SC & Öztaysi, B 2023, LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems. 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. 758 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 275-283, 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_34

LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems. / Kahraman, Cengiz ; Onar, Sezi Cevik ; Öztaysi, Basar.
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. 275-283 (Lecture Notes in Networks and Systems; Vol. 758 LNNS).

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

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N2 - Spherical fuzzy sets (SFS) are recent extension of ordinary fuzzy sets, which are composed of three parameters whose squared sum is at most one. SFS are defined by discrete values of these three parameters and provide a larger assignment volume than picture fuzzy sets. We propose a non-linear continuous membership, non-membership, and/or hesitancy function for spherical fuzzy sets based on LR-type nonlinear fuzzy numbers. We illustrate their usage in multiple criteria supplier selection problems. The paper is concluded by limitations and suggestions for further research.

AB - Spherical fuzzy sets (SFS) are recent extension of ordinary fuzzy sets, which are composed of three parameters whose squared sum is at most one. SFS are defined by discrete values of these three parameters and provide a larger assignment volume than picture fuzzy sets. We propose a non-linear continuous membership, non-membership, and/or hesitancy function for spherical fuzzy sets based on LR-type nonlinear fuzzy numbers. We illustrate their usage in multiple criteria supplier selection problems. The paper is concluded by limitations and suggestions for further research.

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Kahraman C , Onar SC , Öztaysi B. LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems. 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. 275-283. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-39774-5_34

LR-Type Spherical Fuzzy Numbers and Their Usage in MCDM Problems

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Keywords

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