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引用次数: 0
摘要
在常规iv -模糊集包含阶$\sqsubseteq$的基础上，引入了iv -模糊集生成($\in， \in\vee q$) - iv -模糊滤波器的概念，并在mtl代数中讨论了它的一些性质。建立了生成的($\in， \in\vee q$) - iv -模糊滤波器的两个表示定理。它为研究具有$\sqsubseteq$的mtl代数$L$中由所有($\in， \in\vee q$) - iv -模糊滤波器组成的集合IFil ($L$)的格理论结构奠定了基础。
Generated ($\in, \in\vee q$)-IV-Fuzzy Filters in MTL-algebras
Based on the conventional IV-fuzzy set inclusion order $\sqsubseteq$, the concept of generated ($\in, \in\vee q$) -IV-fuzzy filter by an IV-fuzzy set is introduced and some its properties are discussed in MTL-algebras. Two representation theorems of generated ($\in, \in\vee q$) -IV-fuzzy filters are established. It lays a foundation for investigating the lattice theory structure of the set IFil ($L$) which is composed of all ($\in, \in\vee q$) -IV-fuzzy filters in an MTL-algebra $L$ with $\sqsubseteq$.
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