用模糊锥表征模糊阶关系

IF 0.9 4区计算机科学 Q4 COMPUTER SCIENCE, CYBERNETICS Kybernetika Pub Date : 2023-01-19 DOI:10.14736/kyb-2022-5-0779

Masamichi Kon

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引用次数: 1

摘要

本文用模糊锥来描述实向量空间上的模糊序关系。序关系是一一对应的，具有序关系的实向量空间是有序向量空间，与尖凸锥是一一对应的。我们证明了具有一定性质的模糊阶关系(阶关系的模糊化)与模糊尖凸锥(尖凸锥的模糊化)之间存在一一对应关系。

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Characterization of fuzzy order relation by fuzzy cone

In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones. It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones. We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzziﬁcation of the order relations, and fuzzy pointed convex cones, which are fuzziﬁcation of the pointed convex cones.

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来源期刊

Kybernetika 工程技术-计算机：控制论

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences. Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.

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