Multi-input multi-output (MIMO) hierarchical fuzzy systems (HFSs) play a significant role in
industrial process control and power systems. Using the max-min semi-tensor product of …

Starting from the vector multipliers, the inner product, norm, distance, as well as addition of
two vectors of different dimensions are proposed, which makes the spaces into a topological …

This letter investigates the variance of state dimensions of linear discrete dimension-
unbounded systems, which are a class of cross-dimensional systems. First, the dimensional …

(1. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese
Academy of Science, Beijing 100190, China; 2. School of Mathematics, Shandong …

When investigating the set of matrices and vectors with mixed dimensions (MVMD), which
are posed by cross-dimensional operators: semi-tensor product (STP) and semi-tensor …

Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making,
image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with …

This paper investigates the relations of controllability and observability between continuous-
time linear system and its projective system. By using the V-addition, the projective system …

The cross-dimensional dynamical systems have received increasing research attention in
recent years. This paper characterizes the structure features of the cross-dimensional vector …

By introducing matrix multiplier and vector multiplier two kinds of semi‐tensor products
(STPs), called matrix–matrix (MM) STPs and matrix–vector (MV) STPs, are introduced. They …

布尔网络可以简洁有效地描述作用在有限集上的动态离散模型. 然而, 随着研究的深入以及一些
实际问题的需要, 传统的布尔网络已经不能满足建模的需求, 由此衍生出多值逻辑网络以及混合 …