Fuzzy Sets And Systems

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.

自 1978 年创刊以来，《模糊集与系统》杂志一直致力于推动模糊集与系统理论和应用的国际进步。模糊集理论现已包含一套组织良好的基本概念，包括（但不限于）聚合运算、广义关系理论、信息内容的具体度量、模糊数的微积分。模糊集还是非加性不确定性理论（即可能性理论）的基石，也是语言和数值建模的多功能工具：基于模糊规则的系统。现在，许多作品将模糊概念与其他科学学科以及现代技术相结合。

在数学中，模糊集引发了与范畴论、拓扑学、代数、分析相关的新研究课题。模糊集也是广义测度和积分研究的最新趋势的一部分，并与统计方法相结合。此外，模糊集在多值逻辑传统中具有强大的逻辑基础。

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