Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making

Elmira Farrokhizadeh; Seyed Amin Seyfi Shishavan; Yaser Donyatalab; Fatma Kutlu Gündoğdu; Cengiz Kahraman

doi:10.1007/978-3-030-45461-6_5

Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making

Elmira Farrokhizadeh, Seyed Amin Seyfi Shishavan^*, Yaser Donyatalab, Fatma Kutlu Gündoğdu, Cengiz Kahraman

^*Corresponding author for this work

Department of Industrial Engineering

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

19 Citations (Scopus)

Abstract

The Bonferroni Mean (BM) which was introduced by Bonferroni has been extensively applied in Multi-Attribute Group Decision-Making (MAGDM) and support system problems because of its usefulness in the aggregation techniques. One of the most important and distinguishing characteristic of the BM is its capability to capture the interrelationship between arguments. Motivated by the applications of Spherical Fuzzy Sets (SFS) in recent studies and in order to consider the interrelationship between arguments, it seems necessary to develop novel aggregation operators to use in this kind of fuzzy sets in MAGDM problems. Therefore, in this paper we tried to adopt BM and spherical fuzzy sets operators in order to propose newfound aggregation operators such as: Spherical Fuzzy Bonferroni mean (SFBM) and Spherical Fuzzy Normalized Weighted Bonferroni mean (SFNWBM). Finally, based on the proposed aggregation operators (SFNWBM), we present an approach to multi-criteria group-decision making problems under the spherical fuzzy environment, and to illustrate the validity of the novel aggregation operator, a practical example is provided.

Original language	English
Title of host publication	Studies in Fuzziness and Soft Computing
Publisher	Springer
Pages	111-134
Number of pages	24
DOIs	https://doi.org/10.1007/978-3-030-45461-6_5
Publication status	Published - 2021

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	392
ISSN (Print)	1434-9922
ISSN (Electronic)	1860-0808

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Keywords

Aggregation operator
Bonferroni mean
MAGDM
Spherical fuzzy sets

Access to Document

10.1007/978-3-030-45461-6_5

Cite this

Farrokhizadeh, E., Seyfi Shishavan, S. A., Donyatalab, Y., Kutlu Gündoğdu, F., & Kahraman, C. (2021). Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making. In Studies in Fuzziness and Soft Computing (pp. 111-134). (Studies in Fuzziness and Soft Computing; Vol. 392). Springer. https://doi.org/10.1007/978-3-030-45461-6_5

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abstract = "The Bonferroni Mean (BM) which was introduced by Bonferroni has been extensively applied in Multi-Attribute Group Decision-Making (MAGDM) and support system problems because of its usefulness in the aggregation techniques. One of the most important and distinguishing characteristic of the BM is its capability to capture the interrelationship between arguments. Motivated by the applications of Spherical Fuzzy Sets (SFS) in recent studies and in order to consider the interrelationship between arguments, it seems necessary to develop novel aggregation operators to use in this kind of fuzzy sets in MAGDM problems. Therefore, in this paper we tried to adopt BM and spherical fuzzy sets operators in order to propose newfound aggregation operators such as: Spherical Fuzzy Bonferroni mean (SFBM) and Spherical Fuzzy Normalized Weighted Bonferroni mean (SFNWBM). Finally, based on the proposed aggregation operators (SFNWBM), we present an approach to multi-criteria group-decision making problems under the spherical fuzzy environment, and to illustrate the validity of the novel aggregation operator, a practical example is provided.",

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Farrokhizadeh, E, Seyfi Shishavan, SA, Donyatalab, Y, Kutlu Gündoğdu, F & Kahraman, C 2021, Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making. in Studies in Fuzziness and Soft Computing. Studies in Fuzziness and Soft Computing, vol. 392, Springer, pp. 111-134. https://doi.org/10.1007/978-3-030-45461-6_5

Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making. / Farrokhizadeh, Elmira; Seyfi Shishavan, Seyed Amin; Donyatalab, Yaser et al.
Studies in Fuzziness and Soft Computing. Springer, 2021. p. 111-134 (Studies in Fuzziness and Soft Computing; Vol. 392).

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

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AU - Donyatalab, Yaser

AU - Kutlu Gündoğdu, Fatma

AU - Kahraman, Cengiz

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Spherical Fuzzy Bonferroni Mean Aggregation Operators and Their Applications to Multiple-Attribute Decision Making

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Keywords

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