论文标题
模糊$ t $ norm and Mague $ t $ norm的一些属性
Some properties of fuzzy $t$-norm and vague $t$-norm
论文作者
论文摘要
罗森菲尔德（Rosenfeld）将$ g $组的模糊子组定义为$ g $的模糊子集，并附有两个特殊条件\ cite {rosenfeld1971fuzzysubgroups}。在本文中，我们介绍了模糊$ t $ norms和模糊的$ t $ norms。带有$ t $ norm或$ t $ - 套件的单位间隔是一种特殊的单体，因此我们主要谈论单型和模糊的单体模糊子集。首先，我们将$ t $ norm的一些属性概括为模糊$ t $ -subnorm，以便我们可以分析和分类模糊$ t $ -norms。此外，我们探讨了关于模糊$ t $ norm的这些特性的具体研究。此外，引入了晶格的概念，然后将目前的结论扩展到有限的晶格。最后，我们通过聚集函数，未隔离，无效的概念定义了模糊的单体概念，并得出相关结果。
Rosenfeld defined a fuzzy subgroup of group $G$ as a fuzzy subset of $G$ with two special conditions attached\cite{Rosenfeld1971Fuzzysubgroups}. In this paper, we introduce the fuzzy $t$-norms and vague $t$-norms. The unit interval with a $t$-norm or a $t$-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids and vague monoids. Firstly, we generalize some properties of $t$-norm to fuzzy $t$-subnorm, so that we can analyze and classify the fuzzy $t$-norms. Further, we explore specific research on these properties of the vague $t$-norm. In addition, the concept of lattice is introduced, and then the present conclusions are extended to bounded lattices. Finally, we define the concept of fuzzy monoids by aggregate functions, uninorms, nullnorms and draw the relevant results.
