Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets

Cengiz Kahraman; Irem Otay

doi:10.1007/978-3-030-85577-2_6

Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets

Cengiz Kahraman^*, Irem Otay

^*Corresponding author for this work

Department of Industrial Engineering

Istanbul Bilgi University

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

23 Citations (Scopus)

Abstract

VIKOR method is used to solve a variety of MCDM problems including a variety of criteria that can be conflicting and noncommensurable. This method is based on the distances of alternatives to positive and negative ideal solutions, and provides compromising solutions. Decision makers generally prefer to evaluate the alternatives with respect to the criteria by using linguistic terms rather than assigning exact numerical values. The fuzzy set theory captures the uncertainty and subjectivity in these linguistic terms successfully. Many classical MCDM methods have been extended to their fuzzy versions by using the fuzzy set theory for handling this uncertainty. VIKOR method has been extended by using several fuzzy set extensions such as intuitionistic fuzzy VIKOR, hesitant fuzzy VIKOR, Pythagorean fuzzy VIKOR, picture fuzzy VIKOR, and spherical fuzzy VIKOR methods. Circular intuitionistic fuzzy sets (C-IFS) introduced as an extension of intuitionistic fuzzy sets, enables decision makers to define membership and the non-membership degrees as circular membership functions. In this paper, we develop C-IFS VIKOR method and apply it to a waste disposal location selection problem.

Original language	English
Title of host publication	Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference
Editors	Cengiz Kahraman, Selcuk Cebi, Sezi Cevik Onar, Basar Oztaysi, A. Cagri Tolga, Irem Ucal Sari
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	48-57
Number of pages	10
ISBN (Print)	9783030855765
DOIs	https://doi.org/10.1007/978-3-030-85577-2_6
Publication status	Published - 2022
Event	International Conference on Intelligent and Fuzzy Systems, INFUS 2021 - Istanbul, Turkey Duration: 24 Aug 2021 → 26 Aug 2021

Publication series

Name	Lecture Notes in Networks and Systems
Volume	308
ISSN (Print)	2367-3370
ISSN (Electronic)	2367-3389

Conference

Conference	International Conference on Intelligent and Fuzzy Systems, INFUS 2021
Country/Territory	Turkey
City	Istanbul
Period	24/08/21 → 26/08/21

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Circular intuitionistic fuzzy sets
Fuzzy MCDM
Fuzzy set extensions
VIKOR

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-3-030-85577-2_6

Cite this

Kahraman, C., & Otay, I. (2022). Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets. In C. Kahraman, S. Cebi, S. Cevik Onar, B. Oztaysi, A. C. Tolga, & I. U. Sari (Eds.), Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference (pp. 48-57). (Lecture Notes in Networks and Systems; Vol. 308). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-85577-2_6

Kahraman, Cengiz ; Otay, Irem. / Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets. Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference. editor / Cengiz Kahraman ; Selcuk Cebi ; Sezi Cevik Onar ; Basar Oztaysi ; A. Cagri Tolga ; Irem Ucal Sari. Springer Science and Business Media Deutschland GmbH, 2022. pp. 48-57 (Lecture Notes in Networks and Systems).

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title = "Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets",

abstract = "VIKOR method is used to solve a variety of MCDM problems including a variety of criteria that can be conflicting and noncommensurable. This method is based on the distances of alternatives to positive and negative ideal solutions, and provides compromising solutions. Decision makers generally prefer to evaluate the alternatives with respect to the criteria by using linguistic terms rather than assigning exact numerical values. The fuzzy set theory captures the uncertainty and subjectivity in these linguistic terms successfully. Many classical MCDM methods have been extended to their fuzzy versions by using the fuzzy set theory for handling this uncertainty. VIKOR method has been extended by using several fuzzy set extensions such as intuitionistic fuzzy VIKOR, hesitant fuzzy VIKOR, Pythagorean fuzzy VIKOR, picture fuzzy VIKOR, and spherical fuzzy VIKOR methods. Circular intuitionistic fuzzy sets (C-IFS) introduced as an extension of intuitionistic fuzzy sets, enables decision makers to define membership and the non-membership degrees as circular membership functions. In this paper, we develop C-IFS VIKOR method and apply it to a waste disposal location selection problem.",

keywords = "Circular intuitionistic fuzzy sets, Fuzzy MCDM, Fuzzy set extensions, VIKOR",

author = "Cengiz Kahraman and Irem Otay",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Intelligent and Fuzzy Systems, INFUS 2021 ; Conference date: 24-08-2021 Through 26-08-2021",

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doi = "10.1007/978-3-030-85577-2_6",

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Kahraman, C & Otay, I 2022, Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets. in C Kahraman, S Cebi, S Cevik Onar, B Oztaysi, AC Tolga & IU Sari (eds), Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference. Lecture Notes in Networks and Systems, vol. 308, Springer Science and Business Media Deutschland GmbH, pp. 48-57, International Conference on Intelligent and Fuzzy Systems, INFUS 2021, Istanbul, Turkey, 24/08/21. https://doi.org/10.1007/978-3-030-85577-2_6

Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets. / Kahraman, Cengiz; Otay, Irem.
Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference. ed. / Cengiz Kahraman; Selcuk Cebi; Sezi Cevik Onar; Basar Oztaysi; A. Cagri Tolga; Irem Ucal Sari. Springer Science and Business Media Deutschland GmbH, 2022. p. 48-57 (Lecture Notes in Networks and Systems; Vol. 308).

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

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AU - Otay, Irem

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N2 - VIKOR method is used to solve a variety of MCDM problems including a variety of criteria that can be conflicting and noncommensurable. This method is based on the distances of alternatives to positive and negative ideal solutions, and provides compromising solutions. Decision makers generally prefer to evaluate the alternatives with respect to the criteria by using linguistic terms rather than assigning exact numerical values. The fuzzy set theory captures the uncertainty and subjectivity in these linguistic terms successfully. Many classical MCDM methods have been extended to their fuzzy versions by using the fuzzy set theory for handling this uncertainty. VIKOR method has been extended by using several fuzzy set extensions such as intuitionistic fuzzy VIKOR, hesitant fuzzy VIKOR, Pythagorean fuzzy VIKOR, picture fuzzy VIKOR, and spherical fuzzy VIKOR methods. Circular intuitionistic fuzzy sets (C-IFS) introduced as an extension of intuitionistic fuzzy sets, enables decision makers to define membership and the non-membership degrees as circular membership functions. In this paper, we develop C-IFS VIKOR method and apply it to a waste disposal location selection problem.

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A2 - Cevik Onar, Sezi

A2 - Oztaysi, Basar

A2 - Tolga, A. Cagri

A2 - Sari, Irem Ucal

PB - Springer Science and Business Media Deutschland GmbH

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ER -

Kahraman C, Otay I. Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets. In Kahraman C, Cebi S, Cevik Onar S, Oztaysi B, Tolga AC, Sari IU, editors, Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation - Proceedings of the INFUS 2021 Conference. Springer Science and Business Media Deutschland GmbH. 2022. p. 48-57. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-030-85577-2_6

Extension of VIKOR Method Using Circular Intuitionistic Fuzzy Sets

Abstract

Publication series

Conference

Bibliographical note

Keywords

UN SDGs

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