Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/61201
Title: The aggregation of multiple three-way decision spaces
Authors: Hu, BQ
Wong, H 
Yiu, KFC 
Keywords: Fuzzy sets
Partially ordered sets
Rough sets
Three-way decision spaces
Three-way decisions
Issue Date: 2016
Publisher: Elsevier
Source: Knowledge-based systems, 2016, v. 98, p. 241-249 How to cite?
Journal: Knowledge-based systems 
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.
URI: http://hdl.handle.net/10397/61201
ISSN: 0950-7051
DOI: 10.1016/j.knosys.2016.01.036
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