基于渐进式数的模糊度量空间

2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) Pub Date : 2013-07-23 DOI:10.1109/FSKD.2013.6816171

Cai-Li Zhou, Yin-Ying Zhou, Junyan Bao

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引用次数: 7

摘要

本文通过考虑物体之间的距离为渐变数来处理度量空间的特殊泛化问题。首先，引入渐进式度量空间的概念。这个新概念是对经典度量空间和Sadeqi和Azart意义上的逐渐线性赋范空间的推广。然后，给出了渐进式度量空间中拓扑的基本概念，并讨论了它们的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New fuzzy metric spaces based on gradual numbers

In this paper, we deal with special generalization of metric spaces by considering the distances between objects as gradual numbers. Firstly, the concept of gradual metric spaces is introduced. The new concept is a generalization of classical metric spaces and gradual linear normed spaces in the sense of Sadeqi and Azart. And then, basic concepts with respect to topology in gradual metric spaces are presented and their properties are discussed.

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2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

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