Ewa Rak

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Verified

Ewa verified their affiliation via an institutional email.

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• PhD
• Professor (Assistant) at Rzeszów University

Martial arts teaching skills involve the systematic instruction of physical techniques, mental discipline, and tactical strategies to develop a student’s proficiency in self-defense and personal growth. It is relevant when there is a specific analysis of the diverse features involving the technique, versatility, and interaction features. In Multi-A...

Over the past three decades, describing the reality surrounding us using the language of complex networks has become very useful and therefore popular. One of the most important features, especially of real networks, is their complexity, which often manifests itself in a fractal or even multifractal structure. As a generalisation of fractal analysi...

With the growing complexity and frequency of cyber threats, there is a pressing need for more effective defense mechanisms. Machine learning offers the potential to analyze vast amounts of data and identify patterns indicative of malicious activity, enabling faster and more accurate threat detection. Ensemble methods, by incorporating diverse model...

The aim of the study was to apply and evaluate the usefulness of the hybrid classifier to detect network intrusion threats on a comprehensive dataset. Our approach is established on ensemble classifiers involving the distributivity law which aggregates classifiers accordingly. The paper includes results of experiments performed on the UNSW-NB 15 da...

The aim of this study is to apply and evaluate the usefulness of the hybrid classifier to predict the presence of serious coronary artery disease based on clinical data and 24-hour Holter ECG monitoring. Our approach relies on an ensemble classifier applying the distributivity equation aggregating base classifiers accordingly. Such a method may be...

Over the past three decades, describing the reality surrounding us using the language of complex networks has become very useful and therefore popular. One of the most important features, especially of real networks, is their complexity, which often manifests itself in a fractal or even multifractal structure. As a generalization of fractal analysi...

Oil is a highly demanded worldwide product as oil prices can have a major economic and social impact. There are many factors affecting oil prices, but little is known about which factor mostly influenced oil prices. To understand what caused the fluctuation of oil prices, the investigation leading up to the identification of the factors must be con...

In this paper, we propose some developments in fuzzy graph theory. An original notion of a T-spherical fuzzy graph is presented as a commonality of fuzzy graph, an intuitionistic fuzzy graph and a picture fuzzy graph. The originality, the imperativeness and the importance of this notion is discussed by showing some results, giving examples and grap...

Recently, Yager has established that the notion of q-rung orthopair fuzzy set (q-ROFS) is more accomplished than pythagorean fuzzy set (PyFS) and intuitionistic fuzzy set (IFS) to cope with awkward and complicated information in real decision theory. This notion works with yes-, no- and refusal-type fuzzy information. The constraint of q-ROFS is th...

Many networks generated by nature have two generic properties: they are formed in the process of {preferential attachment} and they are scale-free. Considering these features, by interfering with mechanism of the {preferential attachment}, we propose a generalisation of the Barab\'asi--Albert model---the 'Fractional Preferential Attachment' (FPA) s...

Many networks generated by nature have two generic properties: they are formed in the process of preferential attachment and they are scale-free. Considering these features, by interfering with mechanism of the preferential attachment, we propose a generalisation of the Barabási–Albert model—the ’Fractional Preferential Attachment’ (FPA) scale-free...

In this paper two results of the functional equation of distributivity for 2-uninorms published by Drygaś and Rak in [4] are revisited. In particular, we present some counterexamples to considerations covered by Theorem 4.3, Theorem 4.4 in the mentioned paper, and then we correct them accordingly.

In this study, we consider the functional equation of modularity in a special class of aggregation operators with an absorbing element. First, we focus on the modularity between commutative binary operators and their duals, and then we examine the modularity for operators from the class of 2-uninorms, which generalize nullnorms by extending their c...

This contribution deals with a dominance property of binary algebraic operations on a partially ordered set. Such dominance is strictly connected with a generalized distributivity of the operations. Consequences of bisymmetry assumption and the existence of neutral element for the operations are presented. Some results known for operations on [0, 1...

In a recent paper, Thomas and Nair have introduced the notions of intuitionistic fuzzy ideal and intuitionistic fuzzy filter on a lattice and some basic properties were proved. In this paper, we characterize these notions in terms of the lattice operations and in terms of their associated crisp sets. We introduce the notions of prime intuitionistic...

In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fu...

The main purpose of this paper is to study certain lattice-valued maps through associated functional equations and inequalities. We deal with morphisms between an algebraic structure and an ordered structure. Next, we solve a separation problem for the inequalities studied. Moreover, we discuss the Hyers-Ulam stability of our main equation. Our res...

Recently, the distributivity equation for different kind of operators has become a focus of research as the crucial tool in the numerous applications as utility and optimization theory, or integration theory. The main purpose of this paper is to study the distributivity equations between two special classes of aggregation operators namely, semi-t-o...

In this paper, the concept of intuitionistic complete lattices is introduced. Some characterizations of such intuitionistic complete lattices are given. The Tarski-Davis fixed point theorem for intuitionistic fuzzy complete lattices is proved, which establish an other criterion for completeness of intuitionistic fuzzy complete lattices in terms of...

In this paper, inspired by the concept of intuitionistic fuzzy lattices previously introduced by Thomas and Nair, we introduce the notion of intuitionistic fuzzy complete lattice and investigate some of its basic properties. In particular, some interesting characterizations closely related to the intuitionistic fuzzy complete lattices are given.

Recently, the distributivity equations have been discussed in families of certain operations (e.g., triangular norms, conorms, uninorms and nullnorms). In this paper we present the solutions of distributivity equations between semi-t-operators and uninorms. Since we omit the assumption about the commutativity it seems appropriate to consider left a...

The problem of distributivity is of a great interest both for particular as well as fundamental reasons. It relates for instance to the theory of binary operators like triangular norms, conorms and their generalizations, i.e. uninorms and nullnorms. One of the recent generalizations covering both uninorms and nullnorms are 2-uninorms, which form a...

This paper is mainly devoted to solving the functional equation of distributivity between aggregation operators with 2-neutral element. Our investigations are motivated by the couple of distributive logical connectives and their generalizations used in fuzzy set theory e.g., triangular norms, conorms, uninorms, nullnorms and implications. One of th...

Motivated by a possibility to optimize modelling of the population evolution we postulate a generalization of the well-know logistic map. Generalized difference equation reads: \begin{equation} x_{n+1}=rx^p_n(1-x^q_n), \end{equation} $x\in[0,1],\;(p,q)>0,\;n=0,1,2,...$, where the two new parameters $p$ and $q$ may assume any positive values. The st...

Recently, the distributivity equations have been discussed in families of certain operations (e.g., triangular norms, conorms, uninorms, and nullnorms). In this study, we present the solutions to distributivity between semi-t-operators. Previous results related to the distributivity between nullnorms and between semi-t-operators and semi-nullnorms...

This paper is mainly devoted to solving the functional equations of modularity of special class of aggregation operators with 2- neutral elements. Our investigations are motivated by modular logical connectives and their generalizations used in fuzzy set theory e.g. triangular norms, conorms, uninorms and nullnorms. In this work the modularity of t...

This paper is mainly devoted to solving the functional equations of distributivity and conditional distributivity of increasing binary operations with the unit. Our investigations are motivated by distributive logical connectives and their generalizations used in fuzzy set theory. In particular, some assumptions (namely associativity and commutativ...

The aim of this work is to complement recent results about distributive binary operations. Our investigation was motivated by non-distributive logical connectives and their generalizations in fuzzy set theory. In spite of the title we neither solve the concerned functional inequalities nor look for characterization of the solutions of such inequali...

Recently the distributivity equation was investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of associativity is not necessary in consideration of distributivity equation. Moreover, if we omit commutativity assumption, consideration of the left and right distributivity c...

The problem of distributivity is of great interest both for particular as well as fundamental reasons. This relates for instance to the theory of binary operations like triangular norms and conorms and recently their generalizations, i.e., nullnorms and uninorms. In this contribution we simplify some assumptions and results about distributivity bet...

Recently the distributivity equation F(x,G(y,z))=G(F(x,y),F(x,z)), x,y,z∈[0,1] was discussed in families of triangular norms, conorms, uninorms and nullnorms. Using a distributivity lemma and a characterization of nullnorms we can simplify some assumptions and results. In particular, the assumption of associativity is not necessary in the considera...