Paper Info
Title
The aggregation of multiple three-way decision spaces.
Abstract
Based on the theory of three-way decisions proposed by Yao, Hu established three-way decision spaces on fuzzy lattices and partially ordered sets. At the same time, multiple three-way decision spaces and its corresponding three-way decisions were also established. How to choose a method for the transformation from multiple three-way decision spaces to a single three-way decision space? This is one of the main problems on multiple three-way decision spaces. In connection with the transformation question on multiple three-way decision spaces, this paper gives out an aggregation method from multiple three-way decision spaces to a single three-way decision space through an axiomatic complement-preserving aggregation function. These aggregation methods in the partially set 0,1 contain the weighted average three-way decisions, max-min average three-way decisions and median three-way decisions etc. These methods are generalized to three-way decisions over two groups of multiple three-way decision spaces. At last we illustrate aggregation methods of multiple three-way decision spaces through a practical example.
Year
DOI
Venue
2016
10.1016/j.knosys.2016.01.036
Knowl.-Based Syst.
Keywords
Field
DocType
Partially ordered sets,Fuzzy sets,Rough sets,Three-way decisions,Three-way decision spaces
Decision rule,Data mining,Decision tree,Optimal decision,Computer science,Fuzzy logic,Fuzzy set,Rough set,Theoretical computer science,Weighted sum model,Partially ordered set
Journal
Volume
Issue
ISSN
98
C
0950-7051
Citations 
PageRank 
References 
16
0.51
33
Authors
3
Name
Order
Citations
PageRank
Bao Qing Hu155725.53
Heung Wong28022.74
Ka Fai Cedric Yiu317623.70