Title
Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making.
Abstract
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.
Year
DOI
Venue
2013
10.1155/2013/857916
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Rule-based machine translation,Operational laws,Mathematical optimization,Multiple criteria,Prioritization,Operator (computer programming),Phenomenon,Linguistics,Weighted arithmetic mean,Mathematics,Group decision-making
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
5
PageRank 
References 
Authors
0.41
42
4
Name
Order
Citations
PageRank
Ding-Hong Peng1372.59
Tie-Dan Wang291.49
Chang-Yuan Gao3353.61
Hua Wang46614.27