论文标题
模糊的单体和模糊的单体的概括
The generalizations of fuzzy monoids and vague monoids
论文作者
论文摘要
在本文中，我们通过使用聚合操作员介绍模糊的单体和模糊的单体。带有$ t $ - 纳尔或$ t $ conorm的单位间隔是一种特殊的单体，因此我们主要谈论单体模糊子集。首先，讨论了基于某些特殊聚合操作员的模糊集的分类。同时，我们给出了两个有关$ t $ norm和$ t $ - 套件的亚monoids的基本命题。 Uninorm和Nullnorm的模糊化表示，可以绘制某些特性。接下来，我们在格子上简要介绍模糊子集。最后，重新定义了聚合操作员上的模糊单体，并进一步考虑了非媒体和无效的特殊情况。
In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a $t$-norm or a $t$-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the classification of fuzzy sets based on some special aggregation operators is discussed. At the same time, we give two basic propositions about submonoids of $t$-norm and $t$-conorm. The fuzzification by uninorm and nullnorm are denoted and some properties can be drawn. Next, we briefly present fuzzy subsets on lattice. Finally, the vague monoids on aggregation operators are redefined and further consider the special cases of uninorms and nullnorms.
