Discrete aggregation operators with annihilator

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• 作者：Yong Su ^{yongsu88@163.com} ; Hua-Wen Liu ; ^{hw.liu@sdu.edu.cn}
• 关键词：Aggregation operator ; Uninorm ; Nullnorm ; Annihilator ; Finite chain
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：308
• 期：Complete
• 页码：72-84
• 全文大小：370 K
• 卷排序：308

文摘

Mas et al. have investigated a special kind of commutative and associative aggregation operators with annihilator on the unit interval [0,1][0,1], which includes S-uninorms, S-nullnorms, T-uninorms, T  -nullnorms, bi-uninorms and bi-nullnorms. This paper is devoted to extending this kind of operators from the unit interval [0,1][0,1] to a finite chain. A characterization of this kind of operators on a finite chain is given, including some examples. This class of operators can be viewed as a generalization of both uninorms and nullnorms on a finite chain.