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.
Fuzzy OWL 2 Reasoning: A Re-Engineered Python Framework
University of Zaragoza（萨拉戈萨大学）；Aragon Institute of Engineering Research (I3A)（阿拉贡工程研究所）；Università degli Studi di Palermo（巴勒莫大学）；CNR-ISTI（意大利国家研究委员会信息技术与系统工程研究所）；Istituto Nazionale di Ricerche Demopolis（德莫波利斯国家研究所）
A Note on Generalized Intuitionistic Fuzzy $ψ$ Normed Linear Space
针对直觉模糊n-范数\cite{Vijayabalaji}的定义，在线性空间上引入了广义直觉模糊$ψ$范数（简称GIF $ψ$ N \）的定义，并在此基础上得到了广义直觉模糊$ψ$赋范线性空间和有限维广义直觉模糊$ψ$赋范线性空间的一些结果.最后，引入了广义直觉模糊$ψ$连续性和序列直觉模糊$ψ$连续性的定义，并证明了它们是等价的。
