摘要
In this paper, the relations among (L, M)-fuzzy pseudo-metrics, pointwise pseudo-metric chains and pointwise (L, M)-fuzzy uniformities are investigated. It is shown that an (L, M)-fuzzy pseudo-metric can induce a pointwise (L, M)-fuzzy uniformity, and an (L, M)-fuzzy pseudo-metric and its induced pointwise (L, M)-fuzzy uniformity generate the same (L, M)-fuzzy topology. Also, it is proved that a pointwise pseudo-metric chain can induce a pointwise (L, M)-fuzzy uniformity, and a pointwise pseudo-metric chain and its induced (L, M)-fuzzy pseudo-metric generate the same pointwise (L, M)-fuzzy uniformity. Moreover, a pointwise pseudo-metric chain and its induced pointwise (L, M)-fuzzy uniformity generate the same (L, M)-fuzzy topology.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 579-588 |
| 页数 | 10 |
| 期刊 | Journal of Intelligent and Fuzzy Systems |
| 卷 | 35 |
| 期 | 1 |
| DOI | |
| 出版状态 | 已出版 - 2018 |
指纹
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Wu, X. Y., Pang, B., & Xiu, Z. Y. (2018). Pointwise (L, M)-fuzzy uniformities induced by (L, M)-fuzzy pseudo-metric and pointwise pseudo-metric chains. Journal of Intelligent and Fuzzy Systems, 35(1), 579-588. https://doi.org/10.3233/JIFS-152492