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On the decomposability of aggregation functions on direct products of posets
Fuzzy Sets and Systems ( IF 3.2 ) Pub Date : 2020-05-01 , DOI: 10.1016/j.fss.2019.01.005
Ivan Chajda , Radomír Halaš , Radko Mesiar

Abstract Based on results concerning equivalences on direct products of sets, a representation of aggregation functions acting on products of ordered structures by means of aggregation functions acting component-wise is obtained and discussed. In particular, t-norms and t-conorms on direct products of bounded lattices are considered, generalizing some earlier results of De Baets and Mesiar.

中文翻译:

关于聚合函数对偏序集直接积的可分解性

摘要 基于集合直积等价的结果,得到并讨论了聚合函数作用于有序结构积的聚合函数的表示。特别地,考虑了有界格的直接乘积的 t-范数和 t-conorms,概括了 De Baets 和 Mesiar 的一些早期结果。
更新日期:2020-05-01
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