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Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making
Joint Authors
Gao, Chang-Yuan
Wang, Tie-Dan
Peng, Ding-Hong
Wang, Hua
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate multiple criteria group decision-making problems in which there are priority relationships between the decision elements (criteria and experts), and decision information provided by decision makers takes the form of multigranular uncertain linguistic information.
Firstly, some operational laws and possibility degree of multi-granular uncertain linguistic variables are introduced.
Then, some new linguistic aggregation operators based on the prioritized aggregation operator, such as the multigranular uncertain linguistic prioritized weighted average (MULPWA) operator and the multigranular uncertain linguistic prioritized ordered weighted average (MULPOWA) operator, are developed and their desirable properties are studied.
The prominent characteristics of these proposed operators are that they can aggregate directly the uncertain linguistic variables whose values form the linguistic term sets with different granularities and convey the prioritization phenomenon among the aggregated arguments.
Furthermore, based on the MULPWA and MULPOWA operators, an approach to deal with multiple criteria group decision-making problems under multi-granular uncertain linguistic environments is developed.
Finally, a practical example is provided to illustrate the multiple criteria group decision-making process.
American Psychological Association (APA)
Peng, Ding-Hong& Wang, Tie-Dan& Gao, Chang-Yuan& Wang, Hua. 2013. Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-503866
Modern Language Association (MLA)
Peng, Ding-Hong…[et al.]. Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-503866
American Medical Association (AMA)
Peng, Ding-Hong& Wang, Tie-Dan& Gao, Chang-Yuan& Wang, Hua. Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-503866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503866