完全0—单半群的L-模糊同余
Generalized Fuzzy Congruences on Completely 0—Simple Semigroups

作者: 郑苗苗 :兰州理工大学理学院,甘肃 兰州;

关键词: L-模糊关系L-模糊等价关系L-模糊同余完全0?单半群L-Fuzzy Relation L-Fuzzy Equivalence L-Fuzzy Congruences Completely 0?Simple Semigroups

摘要:
完全0−单半群S上的L-模糊相容的L-模糊等价关系称为完全0−单半群S上的L-模糊同余。除了L-模糊同余在普通半群上的性质之外,不同半群上的L-模糊同余有不同的性质。本文主要研究完全0−单半群上L-模糊同余。

Abstract: L-fuzzy equivalence relation with L-fuzzy compatibility over a completely 0−simple semigroup S is called L-fuzzy congruence over a completely 0−simple semigroup S. In addition to the properties of generalized fuzzy congruences on semigroups, generalized fuzzy congruences have different properties on different semigroups. In this paper, we mainly study generalized fuzzy congruences on completely 0−simple semigroups.

文章引用: 郑苗苗 (2021) 完全0—单半群的L-模糊同余。 理论数学, 11, 1271-1275. doi: 10.12677/PM.2021.117141

参考文献

[1] Zadeh, L.A. (1965) Fuzzy Sets. Inform and Control, 18, 338-365.
https://doi.org/10.1016/S0019-9958(65)90241-X

[2] 王喜建. 完全零单半群的模糊同余[J]. 模糊系统与数学, 2007, 21(2): 65-71.

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