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Extended Heronian Mean Based on Hesitant Fuzzy Linguistic Information for Multiple Attribute Group Decision-Making
Joint Authors
Shi, Minghua
Xiao, Yuewen
Wan, Qing
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-05
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper investigates the hesitant fuzzy linguistic multiple attribute group decision-making (MAGDM) problem with the heterogeneous relationship among the attribute variables that cannot be solved by most existing decision-making methods.
To address this problem, a new operator is introduced based on partitioning attribute variables into different sets according to their interrelationship.
This operator is called the extended Heronian mean (EHM) operator.
To obtain each expert’s comprehensive values of the alternatives in the hesitant fuzzy linguistic MAGDM problem, we investigate the EHM operator under a hesitant fuzzy linguistic environment and propose the hesitant fuzzy linguistic EHM operator and the hesitant fuzzy linguistic linear support degree weighted EHM operator.
In addition, the axiom definition of a linguistic type similarity measure of hesitant fuzzy linguistic term sets is proposed.
The weight of the experts can be determined based on this type similarity measure.
Finally, a practical case is presented to demonstrate the steps of our method, and a comparison analysis illustrates its feasibility and effectiveness.
American Psychological Association (APA)
Shi, Minghua& Xiao, Yuewen& Wan, Qing. 2019. Extended Heronian Mean Based on Hesitant Fuzzy Linguistic Information for Multiple Attribute Group Decision-Making. Complexity،Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1130980
Modern Language Association (MLA)
Shi, Minghua…[et al.]. Extended Heronian Mean Based on Hesitant Fuzzy Linguistic Information for Multiple Attribute Group Decision-Making. Complexity No. 2019 (2019), pp.1-19.
https://search.emarefa.net/detail/BIM-1130980
American Medical Association (AMA)
Shi, Minghua& Xiao, Yuewen& Wan, Qing. Extended Heronian Mean Based on Hesitant Fuzzy Linguistic Information for Multiple Attribute Group Decision-Making. Complexity. 2019. Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1130980
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130980