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A Vector Matroid-Theoretic Approach in the Study of Structural Controllability Over F(z)
In this paper, the structural controllability of the systems over F(z) is studied using a new mathematical method-matroids. First, a vector matroid is defined over F(z). Second, the full rank conditions of [sI - A|B](s ∈ p) are derived in terms of
Yupeng Yuan +4 more
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Bases of G-V Intuitionistic Fuzzy Matroids
The purpose of this paper is to study intuitionistic fuzzy bases (IFBs) and the intuitive structure of a G−VIFM. Firstly, the intuitionistic fuzzy basis (IFB) of a G−VIFM is defined; then the h-range and properties of an IFB are presented and a necessary
Yonghong Li +4 more
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On complete classes of valuated matroids [PDF]
We characterize a rich class of valuated matroids, called R-minor valuated matroids that includes the indicator functions of matroids, and is closed under operations such as taking minors, duality, and induction by network.
Edin Husić +3 more
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Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes
This article focuses on the exploration of spaces and models in which we describe the behavior of complex systems as special shapes. We understand these shapes both as a configuration of properties and their values, and on the other, as the formation of ...
Jiri Bila
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Factorization theorems for strong maps between matroids of arbitrary cardinality
In this paper we present factorization theorems for strong maps between matroids of arbitrary cardinality. Moreover, we present a new way to prove the factorization theorem for strong maps between finite matroids.
Mao Hua
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Modeling of Complex Systems by Means of Partial Algebras
Complex systems are very hard to describe by some unified language and calculus. In cases when their nature is very heterogeneous is possible to use with advantage state description.
Jiri Bila +2 more
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Fair Max-Min Diversity Maximization in Streaming and Sliding-Window Models. [PDF]
Wang Y, Fabbri F, Mathioudakis M, Li J.
europepmc +1 more source
Tropical Carathéodory with Matroids. [PDF]
Loho G, Sanyal R.
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Approximation operators via TD-matroids on two sets. [PDF]
Wang G, Mao H.
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Rough set approximations based on a matroidal structure over three sets. [PDF]
Wang G, Mao H, Liu C, Zhang Z, Yang L.
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