IF 3.2
1区 数学
Q2 COMPUTER SCIENCE, THEORY & METHODS
引用次数: 0
摘要
在本论文中，我们将回答一个开放性问题，这个问题与 Gregori 等人（2012）[5] 提出的 George 和 Veeramani 意义上的主模糊度量空间的完备性有关。我们通过一个例子给出了对这个问题的否定回答。本文章由计算机程序翻译，如有差异，请以英文原文为准。
On completion of principal fuzzy metric spaces
In this note, we answer an open question, which is related to completion of principal fuzzy metric spaces in the sense of George and Veeramani, proposed by Gregori et al. (2012) [5]. We give a negative answer to such a question by means of an example.
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来源期刊
Fuzzy Sets and Systems
数学-计算机：理论方法
CiteScore
6.50
自引率
17.90%
发文量
321
审稿时长
6.1 months
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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