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

Cengiz Kahraman; Sezi Cevik Onar; Basar Öztaysi

doi:10.1007/978-3-031-39774-5_41

LR-Type Z 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

Z fuzzy numbers are given by a restriction function and a reliability function to better define an ordinary fuzzy number. In this paper we propose LR fuzzy numbers in the definition of z-fuzzy numbers. Besides, the new extensions of ordinary fuzzy sets are used in the development of LR-type Z fuzzy numbers such as intuitionistic fuzzy LR type Z-numbers. The proposed new numbers are planned to be employed in multi-criteria decision making problems such as LR type Z-fuzzy TOPSIS or intuitionistic fuzzy LR type VIKOR methods. The paper is concluded by limitations and future research suggestions.

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	346-353
Number of pages	8
ISBN (Print)	9783031397738
DOIs	https://doi.org/10.1007/978-3-031-39774-5_41
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
z-fuzzy numbers

Access to Document

10.1007/978-3-031-39774-5_41

Cite this

Kahraman, C., Onar, S. C., & Öztaysi, B. (2023). LR-Type Z 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. 346-353). (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_41

Kahraman, Cengiz ; Onar, Sezi Cevik ; Öztaysi, Basar. / LR-Type Z 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. 346-353 (Lecture Notes in Networks and Systems).

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

abstract = "Z fuzzy numbers are given by a restriction function and a reliability function to better define an ordinary fuzzy number. In this paper we propose LR fuzzy numbers in the definition of z-fuzzy numbers. Besides, the new extensions of ordinary fuzzy sets are used in the development of LR-type Z fuzzy numbers such as intuitionistic fuzzy LR type Z-numbers. The proposed new numbers are planned to be employed in multi-criteria decision making problems such as LR type Z-fuzzy TOPSIS or intuitionistic fuzzy LR type VIKOR methods. The paper is concluded by limitations and future research suggestions.",

keywords = "LR-fuzzy numbers, MCDM, z-fuzzy numbers",

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\_41",

language = "English",

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series = "Lecture Notes in Networks and Systems",

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

pages = "346--353",

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 Z 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. 346-353, 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_41

LR-Type Z 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. 346-353 (Lecture Notes in Networks and Systems; Vol. 758 LNNS).

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

TY - GEN

T1 - LR-Type Z Fuzzy Numbers and Their Usage in MCDM Problems

AU - Kahraman, Cengiz

AU - Onar, Sezi Cevik

AU - Öztaysi, Basar

PY - 2023

Y1 - 2023

N2 - Z fuzzy numbers are given by a restriction function and a reliability function to better define an ordinary fuzzy number. In this paper we propose LR fuzzy numbers in the definition of z-fuzzy numbers. Besides, the new extensions of ordinary fuzzy sets are used in the development of LR-type Z fuzzy numbers such as intuitionistic fuzzy LR type Z-numbers. The proposed new numbers are planned to be employed in multi-criteria decision making problems such as LR type Z-fuzzy TOPSIS or intuitionistic fuzzy LR type VIKOR methods. The paper is concluded by limitations and future research suggestions.

AB - Z fuzzy numbers are given by a restriction function and a reliability function to better define an ordinary fuzzy number. In this paper we propose LR fuzzy numbers in the definition of z-fuzzy numbers. Besides, the new extensions of ordinary fuzzy sets are used in the development of LR-type Z fuzzy numbers such as intuitionistic fuzzy LR type Z-numbers. The proposed new numbers are planned to be employed in multi-criteria decision making problems such as LR type Z-fuzzy TOPSIS or intuitionistic fuzzy LR type VIKOR methods. The paper is concluded by limitations and future research suggestions.

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KW - z-fuzzy numbers

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

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A2 - Cevik Onar, Sezi

A2 - Cebi, Selcuk

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Kahraman C, Onar SC, Öztaysi B. LR-Type Z 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. 346-353. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-39774-5_41

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

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Keywords

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