Fuzzy序代数的簇定理
Variety theorem for algebras with fuzzy order
摘要：
给出了序代数的Bloom簇定理在Fuzzy集上的推广.我们介绍代数与模糊订单，其中包括一套功能，这是兼容的特定二元模糊关系称为模糊订单。利用完备剩余格作为度结构，在代数论域集上定义了Fuzzy序。在这种情况下，我们表明，类的模型的模糊集的不平等是封闭的适当定义的形式下的子代数，同态像，和直积。相反，我们证明了具有这些封闭性的类是可定义的模糊集不等式。
英文摘要：
We present generalization of the Bloom variety theorem of ordered algebras in fuzzy setting. We introduce algebras with fuzzy orders which consist of sets of functions which are compatible with particular binary fuzzy relations called fuzzy orders. Fuzzy orders are defined on universe sets of algebras using complete residuated lattices as structures of degrees. In this setting, we show that classes of models of fuzzy sets of inequalities are closed under suitably defined formations of subalgebras, homomorphic images, and direct products. Conversely, we prove that classes having these closure properties are definable by fuzzy sets of inequalities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
