On the structure of 2-uninorms.
Information Sciences(2018)
摘要
In this paper, we describe the structure of 2-uninorms defined on the unit interval. We divide the class of 2-uninorms into five mutually exclusive subclasses based on their boundary behaviour, as determined by the absorbing element and the conjunctive/disjunctive nature of the underlying uninorms, which every 2-uninorm is known to have. For each of these subclasses, we fully characterize the structure of its members, albeit for two subclasses only under an additional continuity assumption, a common practice in the study of associative operations.
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关键词
Associativity equation,Continuity,2-uninorms,Uninorms,Nullnorms
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