Oľga Nánásiová - Academia.edu (original) (raw)

Uploads

Papers by Oľga Nánásiová

Kybernetika, 2006

Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

DOAJ (DOAJ: Directory of Open Access Journals), 2004

In recent years many papers have been written generalizing some theorems, known from the Kolmogor... more In recent years many papers have been written generalizing some theorems, known from the Kolmogorovian probability theory, to MV-algebras. To achieve such results, so-called product MV-algebras were introduced and, using the product, the joint probability distribution was defined. In this paper we present an approach how to define the joint distributions on MV-algebras which are not necessarily closed under product. First we construct conditional measures on a given MV-algebra. And using these conditional measures we define the joint probability distributions.

International Journal of Theoretical Physics, Jul 11, 2014

In this paper we introduce a sum (summability operator) of non-compatible observables on an ortho... more In this paper we introduce a sum (summability operator) of non-compatible observables on an orthomodular lattice. This sum is based on conditional distributions and conditional expectation.

Soft Computing, Aug 11, 2009

Demonstratio Mathematica, 1991

In this paper we will study convergence of special sequences of Sn-maps on a quantum logic. An or... more In this paper we will study convergence of special sequences of Sn-maps on a quantum logic. An orthomodular lattice is one of the possible approaches to modelling non compatible random events.

International Journal of Theoretical Physics, 2019

The problem of extension of joint distribution functions (s-maps) on quantum logics is studied. N... more The problem of extension of joint distribution functions (s-maps) on quantum logics is studied. Necessary and sufficient conditions for the extension of bivariate s-maps to trivariate s-maps are given. However, it is shown that these conditions are not sufficient for extending trivariate s-maps to 4-variate s-maps.

Demonstratio Mathematica, 1993

Olga Nanasiovà THE HOMOMORPHISM ON THE PTAK'S SUM P. Ptak [2] has defined a sum of a Boolean alge... more Olga Nanasiovà THE HOMOMORPHISM ON THE PTAK'S SUM P. Ptak [2] has defined a sum of a Boolean algebra and a quantum logic (i.e. an orthomodular lattice). In this paper we study a homomorphism on this structure. The main result is the relationship between homomorphism on the Ptak's sum that can be defined by finite homomorphisms on the quantum logic and the cardinality of the Boolean algebra.

arXiv (Cornell University), Oct 3, 2018

The intention of this paper is to discuss the mathematical model of causality introduced by C.W.J... more The intention of this paper is to discuss the mathematical model of causality introduced by C.W.J. Granger in 1969. The Granger's model of causality has become well-known and often used in various econometric models describing causal systems, e.g., between commodity prices and exchange rates. Our paper presents a new mathematical model of causality between two measured objects. We have slightly modified the well-known Kolmogorovian probability model. In particular, we use the horizontal sum of set σ-algebras instead of their direct product.

summary:New approach to characterization of orthomodular lattices by means of special types of bi... more summary:New approach to characterization of orthomodular lattices by means of special types of bivariable functions GGG is suggested. Under special marginal conditions a bivariable function GGG can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice

Journal of Electrical Engineering, 2016

The paper gives an overview and compares various bi-varilable maps from orthomodular lattices int... more The paper gives an overview and compares various bi-varilable maps from orthomodular lattices into unit interval. It focuses mainly on such bi-variable maps that may be used for constructing joint probability distributions for random variables which are not defined on the same Boolean algebra.

AIP Conference Proceedings, 2009

This is the first attempt to smooth time series using estimators with applying quantum probabilit... more This is the first attempt to smooth time series using estimators with applying quantum probability with causality (non-commutative s-maps on an othomodular lattice). In this context it means that we use non-symmetric covariance matrix to construction of our estimator.

Soft Computing, 2000

ABSTRACT In this paper we describe conditional probabilities as difference set. The main idea is... more ABSTRACT In this paper we describe conditional probabilities as difference set. The main idea is that a system is in same state and from this state is can get to another state if there are fulfield some properties. In other words we have a partial binary operation ⊖ such that the operation ⊖ can be interpreted as a change of a state. If we put some logical questions about change of states on this we get the structure which is called a difference set.

The sum of a Boolean algebra B and an orthomodular lattice L was described by P. Pták [Demonstr. ... more The sum of a Boolean algebra B and an orthomodular lattice L was described by P. Pták [Demonstr. Math. 19, 349-357 (1986; Zbl 0647.03055)]. Such a structure is now called a Pták sum. Here, some states on Pták sums are shown to be a type of a conditional probability on L. Next, an example of observables on Pták sums is presented.

Soft Methodology and Random Information Systems, 2004

ABSTRACT We construct conditional measures on semi-simple MV-algebras. We show that these conditi... more ABSTRACT We construct conditional measures on semi-simple MV-algebras. We show that these conditional measures are not given uniquely. By using them we construct the joint probability distributions.

Immunogenetics: Advances and Education, 1997

Slovak Foundation: Education in Immunogenetics (SF EDI) has been founded one August 14,1995 in Br... more Slovak Foundation: Education in Immunogenetics (SF EDI) has been founded one August 14,1995 in Bratislava, Slovak Republic, as non-profit privat non-govermental foundation. It is ruled by the articles No. 19-1, No. 20b and by the Loyal Civil Law No.47/1992 of the Slovak Republic.