Tingting Wang , Wenwen Zong , Yong Su , Radko Mesiar
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引用次数: 0
摘要
同质性及其扩展反映了相对于相同比率输入的聚集函数的规律性，在决策、经济学和图像处理中发挥着重要作用。本文介绍了广义同质性之间的关系，以及相对于给定连续 t 准则的抽象同质性聚集函数的特征。
Abstractly homogeneous aggregation functions with respect to a given continuous t-norm
The homogeneity and its extensions reflect the regularity of aggregation functions with respect to the inputs with the same ratio and play an essential role in decision making, economics and image processing. In this paper, the relationships among generalized homogeneities and characterizations of abstractly homogeneous aggregation functions with respect to a given continuous t-norm are presented.
期刊介绍：
Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies.
In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.
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