![](/images/graphics-bg.png)
Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy
Joint Authors
Liu, Jun
Zhou, Ning
Zhuang, Li-Hua
Li, Ning
Jin, Fei-Fei
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-26
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Under the interval-valued hesitant fuzzy information environment, we investigate a multiattribute group decision making (MAGDM) method with continuous entropy weights and improved Hamacher information aggregation operators.
Firstly, we introduce the axiomatic definition of entropy for interval-valued hesitant fuzzy elements (IVHFEs) and construct a continuous entropy formula on the basis of the continuous ordered weighted averaging (COWA) operator.
Then, based on the Hamacher t-norm and t-conorm, the adjusted operational laws for IVHFEs are defined.
In order to aggregate interval-valued hesitant fuzzy information, some new improved interval-valued hesitant fuzzy Hamacher aggregation operators are investigated, including the improved interval-valued hesitant fuzzy Hamacher ordered weighted averaging (I-IVHFHOWA) operator and the improved interval-valued hesitant fuzzy Hamacher ordered weighted geometric (I-IVHFHOWG) operator, the desirable properties of which are discussed.
In addition, the relationship among these proposed operators is analyzed in detail.
Applying the continuous entropy and the proposed operators, an approach to MAGDM is developed.
Finally, a numerical example for emergency operating center (EOC) selection is provided, and comparative analyses with existing methods are performed to demonstrate that the proposed approach is both valid and practical to deal with group decision making problems.
American Psychological Association (APA)
Liu, Jun& Zhou, Ning& Zhuang, Li-Hua& Li, Ning& Jin, Fei-Fei. 2017. Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1189993
Modern Language Association (MLA)
Liu, Jun…[et al.]. Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy. Mathematical Problems in Engineering No. 2017 (2017), pp.1-20.
https://search.emarefa.net/detail/BIM-1189993
American Medical Association (AMA)
Liu, Jun& Zhou, Ning& Zhuang, Li-Hua& Li, Ning& Jin, Fei-Fei. Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1189993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189993