In this paper, we apply the concept of fuzzy translations of a fuzzy set to UP-algebras.For any fuzzy set $\mu$ in a UP-algebra,the concepts of fuzzy $\alpha$-translations of $\mu$ of type \textrm{I} and of fuzzy $\beta$-translations of $\mu$ of type \textrm{II} are introduced, their basic properties are investigated and some useful examples are discussed.The concepts of prime fuzzy sets and of weakly prime fuzzy sets in UP-algebras are also studied.Moreover, we discuss the concepts of extensions and of intensions of a fuzzy set in UP-algebras.
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机译:本文将模糊集的模糊平移概念应用于UP代数。对于UP代数中的任何模糊集$ \ mu $,模糊$ \ alpha $-平移$ \ mu $的概念介绍了\ textrm {I}类型和$ \ beta $的模糊$ -beta类型的翻译,并研究了它们的基本性质,并讨论了一些有用的例子。还研究了UP代数中的弱素模糊集。此外,我们讨论了UP代数中的模糊集的扩展和内涵的概念。
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