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A Vector Matroid-Theoretic Approach in the Study of Structural Controllability Over F(z)

open access: yesIEEE Access, 2017
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
doaj   +1 more source

Bases of G-V Intuitionistic Fuzzy Matroids

open access: yesMathematics, 2020
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
doaj   +1 more source

On complete classes of valuated matroids [PDF]

open access: yesTheoretiCS
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
doaj   +1 more source

Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes

open access: yesMendel, 2018
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
doaj   +1 more source

Factorization theorems for strong maps between matroids of arbitrary cardinality

open access: yesOpen Mathematics, 2016
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
doaj   +1 more source

Modeling of Complex Systems by Means of Partial Algebras

open access: yesMendel, 2019
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
doaj   +1 more source

Tropical Carathéodory with Matroids. [PDF]

open access: yesDiscrete Comput Geom, 2023
Loho G, Sanyal R.
europepmc   +1 more source

Rough set approximations based on a matroidal structure over three sets. [PDF]

open access: yesAppl Intell (Dordr), 2023
Wang G, Mao H, Liu C, Zhang Z, Yang L.
europepmc   +1 more source

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