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27322. On computations with causal compositional models
- Creator:
- Bína, Vladislav and Jiroušek, Radim
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- causal model, conditioning, intervention, and extension
- Language:
- English
- Description:
- The knowledge of causal relations provides a possibility to perform predictions and helps to decide about the most reasonable actions aiming at the desired objectives. Although the causal reasoning appears to be natural for the human thinking, most of the traditional statistical methods fail to address this issue. One of the well-known methodologies correctly representing the relations of cause and effect is Pearl's causality approach. The paper brings an alternative, purely algebraic methodology of causal compositional models. It presents the properties of operator of composition, on which a general methodology is based that makes it possible to evaluate the causal effects of some external action. The proposed methodology is applied to four illustrative examples. They illustrate that the effect of intervention can in some cases be evaluated even when the model contains latent (unobservable) variables.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27323. On condensing discrete dynamical systems
- Creator:
- Šeda, Valter
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- condensing discrete dynamical system, stability, singular interval, continuous branch connecting two points, and continuous curve
- Language:
- English
- Description:
- In the paper the fundamentaì pгopeгties of discrete dynamical systems generated by an a-condensing mapping (a is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnoseľskij and A. V. Lusnikov in [21]. They are aìso applied to study a mathematical rдodel for spreading of an infectious disease investigated by P.Takáč in [35], [36].
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27324. On congruences and ideals of partially ordered quasigroups
- Creator:
- Demko, Milan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- partially ordered quasigroup, partially ordered loop, Riesz quasigroup, congruence relation, and ideal
- Language:
- English
- Description:
- Some results concerning congruence relations on partially ordered quasigroups (especially, Riesz quasigroups) and ideals of partially ordered loops are presented. These results generalize the assertions which were proved by Fuchs in [5] for partially ordered groups and Riesz groups.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27325. On connected resolving decompositions in graphs.
- Creator:
- Saenpholphat, Varaporn and Zhang, Ping
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- distance, resolving decomposition, and connected resolving decomposition
- Language:
- English
- Description:
- For an ordered $k$-decomposition $\mathcal D = \lbrace G_1, G_2,\dots , G_k\rbrace $ of a connected graph $G$ and an edge $e$ of $G$, the $\mathcal D$-code of $e$ is the $k$-tuple $c_{\mathcal D}(e) = (d(e, G_1), d(e, G_2),\ldots , d(e, G_k))$, where $d(e, G_i)$ is the distance from $e$ to $G_i$. A decomposition $\mathcal D$ is resolving if every two distinct edges of $G$ have distinct $\mathcal D$-codes. The minimum $k$ for which $G$ has a resolving $k$-decomposition is its decomposition dimension $\dim _d(G)$. A resolving decomposition $\mathcal D$ of $G$ is connected if each $G_i$ is connected for $1 \le i \le k$. The minimum $k$ for which $G$ has a connected resolving $k$-decomposition is its connected decomposition number $\mathop {\mathrm cd}(G)$. Thus $2 \le \dim _d(G) \le \mathop {\mathrm cd}(G) \le m$ for every connected graph $G$ of size $m \ge 2$. All nontrivial connected graphs of size $m$ with connected decomposition number 2 or $m$ have been characterized. We present characterizations for connected graphs of size $m$ with connected decomposition number $m-1$ or $m-2$. It is shown that each pair $s, t$ of rational numbers with $ 0 < s \le t \le 1$, there is a connected graph $G$ of size $m$ such that $\dim _d(G)/m = s$ and $\mathop {\mathrm cd}(G) / m = t$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27326. On consequences of certain boundary conditions on the unit circle
- Creator:
- Adamczyk, Gabriela
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- bounded holomorphic functions, Carathéodory functions, harmonic measure, and extreme points
- Language:
- English
- Description:
- Let P denote the well-known class of Caratheodory functions of the form p(z) = 1+ciz-i , z e A = {z ∈ ℂ: \z\ < 1}, with positive real part in the unit disc and let H(M) stand for the class of holomorphic functions commonly bounded by M in A. In 1992, J. Fuka and Z. J. Jakubowski began an investigation of families of mappings p ∈ P fulfilling certain additional boundary conditions on the unit circle T. At first, the authors examined the class P(B, b; α) of functions defined by conditions given by the upper limits for two disjoint open arcs of T. After that, such boundary conditions given, in particular, by the nontangential limits, were assumed for different subsets of the unit circle. In parallel, G. Adamczyk started to search for properties of families, contained in H(M) and satisfying certain similar conditions on T. The present article belongs to the above series of papers. In the first section we will consider subclasses of V of functions satisfying some inequalities on several arcs of T, whereas in Sections 2 and 3-families of mappings f ∈ H(M) with conditions given for measurable subsets of the unit circle T.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27327. On continuity of the entropy-based differently implicational algorithm
- Creator:
- Tang , Yiming and Pedrycz, Witold
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- continuity, fuzzy entropy, fuzzy inference, and compositional rule of inference
- Language:
- English
- Description:
- Aiming at the previously-proposed entropy-based differently implicational algorithm of fuzzy inference, this study analyzes its continuity. To begin with, for the FMP (fuzzy modus ponens) and FMT (fuzzy modus tollens) problems, the continuous as well as uniformly continuous properties of the entropy-based differently implicational algorithm are demonstrated for the Tchebyshev and Hamming metrics, in which the R-implications derived from left-continuous t-norms are employed. Furthermore, four numerical fuzzy inference examples are provided, and it is found that the entropy-based differently implicational algorithm can obtain more reasonable solution in contrast with the fuzzy entropy full implication algorithm. Finally, in the entropy-based differently implicational algorithm, we point out that the first fuzzy implication reflects the effect of rule base, and that the second fuzzy implication embodies the inference mechanism.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27328. On convergence theory in fuzzy topological spaces and its applications
- Creator:
- Nouh, Ali Ahmed
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fuzzy points, $Q$-neighborhoods, fuzzy filters, fuzzy nets, limit, adherent and $Q$-adherent points of fuzzy filters and fuzzy nets, fuzzy continuity, and strong $Q$-compactness
- Language:
- English
- Description:
- In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the $Q$-relation and the $Q$-neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong $Q$-compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar to the one which exists between the convergence of filters and the convergence of nets in topological spaces.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27329. On convexly isomorphic posets
- Creator:
- Lihová, Judita
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- math and isomorphic posets
- Language:
- English
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
27330. On copies of $c_0$ in the bounded linear operator space
- Creator:
- Ferrando, Juan Carlos and Amigó, J. M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Banach space basic sequence copy of $c_{0}$ copy of $\ell _{\infty }$, basic sequence, copy of $c_{0}$, and copy of $\ell _{\infty }$
- Language:
- English
- Description:
- In this note we study some properties concerning certain copies of the classic Banach space $c_{0}$ in the Banach space $\mathcal{L}\left( X,Y\right) $ of all bounded linear operators between a normed space $X$ and a Banach space $Y$ equipped with the norm of the uniform convergence of operators.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public