Generalized fuzzy k-pseudo metric and its representation theorem

Yuhuan Guo; Yun Zhang; Yu Zhong

doi:10.1117/12.3009435

16 October 2023 Generalized fuzzy k-pseudo metric and its representation theorem

Yuhuan Guo, Yun Zhang, Yu Zhong

Proceedings Volume 12803, Fifth International Conference on Artificial Intelligence and Computer Science (AICS 2023); 1280312 (2023) https://doi.org/10.1117/12.3009435
Event: 2023 5th International Conference on Artificial Intelligence and Computer Science (AICS 2023), 2023, Wuhan, China

Abstract

In this paper, the definition of a generalized fuzzy k-pseudo metric and some typical examples are given. Then we point out that a generalized fuzzy k-pseudo metric can be constructed from a nest of k-pseudo metrics. Besides, we verify that a nest of k-pseudo metrics can also be constructed from a generalized fuzzy k-pseudo metric. Therefore, it can be shown that there exists a one-to-one correspondence between generalized fuzzy k-pseudo metrics and a nest of k-pseudo metrics.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yuhuan Guo, Yun Zhang, and Yu Zhong "Generalized fuzzy k-pseudo metric and its representation theorem", Proc. SPIE 12803, Fifth International Conference on Artificial Intelligence and Computer Science (AICS 2023), 1280312 (16 October 2023); https://doi.org/10.1117/12.3009435

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