<abstract xmlns="http://www.w3.org/1999/xhtml">

The set criterion is an appropriate defining approach regarding the solutions for the set-valued optimization problems. By using approximations as generalized derivatives of set-valued mappings, we establish necessary optimality conditions for a constrained set-valued optimization problem in the sense of set optimization in terms of asymptotical pointwise compact approximations. Sufficient optimality conditions are then obtained through first-order strong approximations of data set-valued mappings.
</abstract>

Optimality conditions in set-valued optimization using approximations as generalized derivatives

<abstract xmlns="http://www.w3.org/1999/xhtml">

The paper describes the methods for constructing a quasi-efficient frontier of minimum risk portfolio under conditions of hybrid uncertainty with allowed short sales. Investor’s acceptable level of expected return is defined in crisp and fuzzy forms. Obtained results are illustrated on a model example. The dependence of the quasi-efficient frontier on the value of <italic>α</italic> -level is investigated.
</abstract>

On the quasi-efficient frontier of the set of optimal portfolios under hybrid uncertainty with short sales allowed

<abstract xmlns="http://www.w3.org/1999/xhtml">

Decision support and trading systems for the forex market mostly derive a single signal for the decision-maker. This is so, because instruments are evaluated based on a single criterion, which creates a ranking of instruments, from which the best one is selected. At the same time, one can observe a lack of tools allowing one to derive the set of non-dominated trading opportunities considered in the multicriteria space.
This article focuses on multicriteria analysis, in which several different market indicators describe a single instrument on the forex market (currency pair), leading to definite criteria. Thus, for a given time horizon, we consider a set of currency pairs described by a group of technical market indicators in every trading session. However, instead of deriving crisp information, based on the buy-no buy binary logic, we use concepts from the fuzzy sets theory, in which each criterion for a single variant takes a value from the 〈0, 1〉 interval. We select only the non-dominated variants from such a set, which will be used as elements of the portfolio of currency pairs on the forex market.
We test our idea on the real-world data covering more than ten years, several technical market indicators, and over twenty different currency pairs. The preliminary results show that the proposed idea can be treated as a promising concept for deriving a portfolio of currency pairs instead of focusing on only a single currency pair.
</abstract>

Fuzzy trading system on the forex market for deriving the portfolio of instruments

<abstract xmlns="http://www.w3.org/1999/xhtml">

This paper examines the properties of the anti-manipulation method in voting. Such a method can be used by committees and similar bodies to ensure that votes reflect genuine preferences. The anti-manipulation method is based on the Borda Count and discourages strategic voting by excluding scores that deviate excessively from the mean. The method does not eliminate strategic voting but diminishes the motivation to apply it. We compare the properties of the Borda Count and the anti-manipulation method. The properties, which are most often found in the literature, were chosen for comparison. Thus, the following properties are examined: consistency, vulnerability to the no-show paradox, vulnerability to the subset choice condition, homogeneity, monotonicity, and vulnerability to the reversal bias paradox as well as the Condorcet winner and loser paradoxes. The anti-manipulation method fails to satisfy most of these properties. A real data example, the voting of a certain jury, is used as a counterexample in most cases.
</abstract>

Transformation into anti-manipulation method in voting. Changes in properties

<abstract xmlns="http://www.w3.org/1999/xhtml">

The paper presents an ample account on author’s results, concerning the methods of estimating and testing of relations (equivalence, tolerance, preference) and trees on the basis of multiple pairwise comparisons with random errors, which are presented in a new book, Klukowski (2021c). The book contains also main results presented earlier in Klukowski (2011). The new content pertains mainly to: the preference relation with incomparable elements, trees and tests for verification of estimates of the relations. The estimators and tests have good statistical properties; estimators - consistency with good convergence, tests - known distributions of test statistics (exact, limiting or approximate). Some properties of estimates (precision and convergence) have been determined using the simulation approach. The results here reported gain in significance in view of the renewed interest in practical application of pairwise comparisons in various application domains, which give rise to various concrete data analysis problems.
</abstract>

Estimating and testing relations and trees on the basis of pairwise comparisons

<abstract xmlns="http://www.w3.org/1999/xhtml">

The paper presents selected research results concerning the identification and simulation of the TGE S.A. Day-Ahead Market (DAM) system of the day for electricity delivered and sold, listed for the following hours: 5:01-6:00, 11:01-12:00, 17:01-18:00 and 23:01-24:00 in 2019, which were obtained in the MATLAB and Simulink environment using the System Identification Toolbox. As a result of identification, four respective discrete parametric arx models were obtained, which were then subject to quality assessment. Then, a simulation model was built in the Simulink environment, which was used for simulation tests and for assessing the sensitivity of the model created using the data from 2019 as the basis and the data from 2020 for verification. The obtained results confirm the correctness of both the performed discrete parametric identification and the possibility of testing the quality of the model and its sensitivity with the use of the DAM system model in the MATLAB and Simulink environment.
</abstract>

Siedlce University of Natural Sciences and Humanities

UPH – Siedlce University of Natural Sciences and Humanities

Hourly identification and simulation of the TGE S.A. Day-Ahead Market system

<abstract xmlns="http://www.w3.org/1999/xhtml">

The purpose of the work, presented in this article, was to obtain a price model for the Day-Ahead Market of the Polish Power Exchange (PPE). The resulting proposed models are based on Artificial Neural Networks (ANN), and the involved suggested improvement concerns the proper selection of both the type of network and the factors used in model construction. The article also proposes a new approach to the ANN with the implemented quantum learning model. The purpose of the research was to analyze factors, which exert influence on the quality of the model, like weather or economic factors, or the type of neural network used. The model determines the relationship between the price and the volume of electricity for a given hour of the day.
The mean square error and the coefficient of determination were used to measure the quality of the obtained models. The results from the experiments performed indicate the possibility of developing improved models of the Day-Ahead Market.
</abstract>

Neural modeling of prices on the Day-Ahead Market at the Polish Power Exchange supported by an evolutionary algorithm and inspired by quantum computing

AHEAD OF PRINT

Volume 52 (2023): Issue 2 (June 2023)

Volume 52 (2023): Issue 1 (March 2023)

Volume 51 (2022): Issue 4 (December 2022)

Volume 51 (2022): Issue 3 (September 2022)

Volume 51 (2022): Issue 2 (June 2022)

Volume 51 (2022): Issue 1 (March 2022)

Volume 50 (2021): Issue 4 (December 2021)

Volume 50 (2021): Issue 3 (September 2021)

Volume 50 (2021): Issue 2 (June 2021)

Volume 50 (2021): Issue 1 (March 2021) Special Issue Dedicated to the memory of Gregory E. Kersten Guest Edited by Tomasz Wachowicz, Ewa Roszkowska and Bogumił Kamiński

Control and Cybernetics

 This journal is edited and published by the Systems Research Institute of the Polish Academy of Sciences.  eISSN: 2720-4278 ISSN: 0324-8569   Its main objective is to stimulate the development of broadly conceived systems theory and analysis.  The field of interest covers general concepts, theories, methods, and techniques associated with analysis, modelling, control and management in various systems (e.g., technological, economic, ecological, social).  The journal is particularly interested in results in the following areas of research:  Systems and control theory   General systems theory  Optimal control  Optimization theory  Optimization algorithms  Decomposition and coordination methods  Structural optimization  Data analysis and learning  Artificial intelligence  Machine learning  Modeling and identification  Game theory and polioptimization  Decision and negotiation systems  Stochastic and fuzzy systems  Systems control and management   Systems analysis of national and regional development  Modelling and control of complex systems (in energy, water, industry, agriculture)  Applications of operations research methods  Computer aided management, control and optimal design  Methodological aspects of applications of control and systems methods  The Quarterly journal CONTROL AND CYBERNETICS is being indexed and abstracted in a number of worldwide services (Scopus and Index Copernicus, etc.). Its current issues can be obtained from the Publisher, or via EBSCO and GALE, while issues older than one year are freely available on the web.  Reviews of individual papers from the journal appear in International Abstracts in Operations Research, Mathematical Reviews, and Zentralblatt für Mathematik.  Abstracted in Applied Mechanical Reviews. Indexed also by Polish services BazTech and BazEkon.  See the website control.ibspan.waw.pl.  We hope that Control and Cybernetics will contribute to the development of systems and control sciences and will stimulate and encourage application of systems approach in different areas.  Archiving  Sciendo archives the contents of this journal in Portico - digital long-term preservation service of scholarly books, journals and collections.  Plagiarism Policy  The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process. 