An Approach to Multicriteria Group Decision-Making with Unknown Weight Information Based on Pythagorean Fuzzy Uncertain Linguistic Aggregation Operators
Joint Authors
Liu, Peide
Liu, Chao
Tang, Guolin
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-21
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
With respect to multicriteria group decision-making (MCGDM) problems in which the experts have different priority levels, the criteria values are in the form of Pythagorean fuzzy uncertain linguistic variables (PFULVs), and the information about weights of experts and criteria is completely unknown, a novel decision-making method is developed.
Firstly, the concept of PFULV is defined, and some operational laws, score function, accuracy function, and normalized Hamming distance of PFULVs are presented.
Then, to aggregate information given by all experts, the Pythagorean fuzzy uncertain linguistic prioritized weighted averaging aggregation (PFULPWAA) operator and the Pythagorean fuzzy uncertain linguistic prioritized weighted geometric aggregation (PFULPWGA) operator are proposed.
Furthermore, in order to get a comprehensive evaluation value for each alternative, the Pythagorean fuzzy uncertain linguistic Maclaurin symmetric mean aggregation (PFULMSMA) operator and the weighted PFULMSMA (WPFULMSMA) operator are proposed.
Moreover, to obtain the information about the weights of criteria, the model based on grey relational analysis (GRA) method is established.
Finally, a method of MCGDM with PFULVs is developed, and an application example is given to illustrate the validity and feasibility of the provided procedure.
American Psychological Association (APA)
Liu, Chao& Tang, Guolin& Liu, Peide. 2017. An Approach to Multicriteria Group Decision-Making with Unknown Weight Information Based on Pythagorean Fuzzy Uncertain Linguistic Aggregation Operators. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1191395
Modern Language Association (MLA)
Liu, Chao…[et al.]. An Approach to Multicriteria Group Decision-Making with Unknown Weight Information Based on Pythagorean Fuzzy Uncertain Linguistic Aggregation Operators. Mathematical Problems in Engineering No. 2017 (2017), pp.1-18.
https://search.emarefa.net/detail/BIM-1191395
American Medical Association (AMA)
Liu, Chao& Tang, Guolin& Liu, Peide. An Approach to Multicriteria Group Decision-Making with Unknown Weight Information Based on Pythagorean Fuzzy Uncertain Linguistic Aggregation Operators. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1191395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191395