Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making
Joint Authors
Guan, Xin
Yi, Xiao
Zhao, Jing
Sun, Guidong
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Due to the superiority in expressing the uncertain and vague information, the hesitant fuzzy set (HFS) is regarded as an important tool to deal with multiattribute decision-making (MADM) problems.
Quantitative and qualitative fuzzy measures have been proposed to solve such problems from different points.
However, most of the existing information measures for HFSs are related to such fuzzy measures as distance, similarity, entropy, and correlation coefficients.
The grey relational analysis is omitted.
Besides, the existing grey relational analysis for HFSs only considers the range or distance between HFSs data which is only a partial measure of the HFSs.
Therefore, in this paper, we improve the grey relational analysis for HFSs and explore a novel slope grey relational degree by considering another factor of HFSs data: the slope.
Further, we combine both the distance and slope factors of HFSs data to construct a synthetic grey relational degree that describes the closeness and variation tendency of HFSs simultaneously, greatly enriching the fuzzy measures of HFSs.
Furthermore, with the help of the TOPSIS method, we develop the grey relational based MADM methodology to solve the HFSs MADM problems.
Finally, combining with two practical MADM examples about energy policy selection and multisensor target recognition, we obtain the most desirable decision results.
Compared with the previous methods, the validity, comprehensiveness, and discrimination of the proposed synthetic grey relational degree for HFSs are demonstrated in detail.
American Psychological Association (APA)
Guan, Xin& Sun, Guidong& Yi, Xiao& Zhao, Jing. 2018. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
Modern Language Association (MLA)
Guan, Xin…[et al.]. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
American Medical Association (AMA)
Guan, Xin& Sun, Guidong& Yi, Xiao& Zhao, Jing. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208866