The aggregation of multiple three-way decision spaces

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• 作者：Bao Qing Hu^a ; ^c ; ^{bqhu@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{bqhujjhe@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Heung Wong^b ; ^{heung.wong@polyu.edu.hk" class="auth_mail" title="E-mail the corresponding author} ; Ka Fai Cedric Yiu^b ; ^{cedric.yiu@polyu.edu.hk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Partially ordered sets ; Fuzzy sets ; Rough sets ; Three-way decisions ; Three-way decision spaces
• 刊名：Knowledge-Based Systems
• 出版年：2016
• 出版时间：15 April 2016
• 年：2016
• 卷：98
• 期：Complete
• 页码：241-249
• 全文大小：578 K

文摘

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.