Title
Probabilistic Interval Reference Ordering Sets In Multi-Criteria Group Decision Making
Abstract
Uncertain preference orderings have been widely applied in real world decision making problems as a useful and convenient tool to express preference information. When the number of decision makers is great, the importance degrees of preference interval orderings provided by the decision makers are usually difficult to be determined and may be ignored, which probably lead to the erroneous decision results when the weight information is missing. In order to make full use of information, we define the concepts of probabilistic interval preference ordering set (PIPOS) and probabilistic interval preference ordering element (PIPOE). Then, we give the score and the basic operation laws of PIPOEs, based on which we develop some aggregation operators and the distance measures for PIPOEs. After that, due to the limited cognitions and knowledge of the decision makers, we propose an algorithm to remove the inaccurate information and adjust the probabilities. Furthermore, we put forward the aggregation-based approach and the TOPSIS approach with probabilistic interval preference orderings for multi-criteria group decision making. Finally, in order to illustrate our approaches, we make a detailed case study concerning the infrastructure investment decision making problem on "the Silk Road Economic Belt and the 21st-Century Maritime Silk Road" (B&R) strategy.
Year
DOI
Venue
2017
10.1142/S0218488517500076
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
Field
DocType
Multi-criteria group decision making, interval preference orderings, aggregation operator, distance measure
Data mining,Business decision mapping,Weighted sum model,Artificial intelligence,Probabilistic logic,Operations research,Silk Road Economic Belt,Influence diagram,TOPSIS,Machine learning,Mathematics,Distance measures,Group decision-making
Journal
Volume
Issue
ISSN
25
2
0218-4885
Citations 
PageRank 
References 
7
0.43
11
Authors
3
Name
Order
Citations
PageRank
Yue He110516.62
Zeshui Xu214310599.02
Weiling Jiang370.43