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This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.
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Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems

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Paraconvex multimaps are revisited in normed vector space setting. A parallel is provided with the studies conducted for real valued paraconvex functions on generalized convexities and monotonicities. Several characterizations are then obtained. The links with some generalized convexities for multimaps are examined and a first classification is achieved. In addition, two representation results for 2-paraconvex multimaps are given.
</abstract>

Characterizations and Classification of Paraconvex Multimaps

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We give a simple and direct proof of necessary and sufficient conditions to have constant equilibrium prices in a simple Sraffa’s production model. We make some remarks on the linearity of the relation between profit rate and wage rate.
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Necessary and Sufficient Conditions for Constant Prices in a Sraffa’s Model

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In this paper, experimental data, given in the form of pairwise comparisons, such as distances or similarities, are considered. Clustering algorithms for processing such data are developed based on the well-known k-means procedure. Relations to factor analysis are shown. The problems of improving clustering quality and of finding the proper number of clusters in the case of pairwise comparisons are considered. Illustrative examples are provided.
</abstract>

Clustering of Data Represented by Pairwise Comparisons

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The continuous auditing technology assures integrity of accounting systems and consequently improves the decision-making process of the small and medium-sized enterprises (SMEs) that implement it. Considering that SMEs located in developing countries function within a more risk prone environment and do not have resources to implement all layers of customized corporate functions in information systems, one argues for their reliance on the features of low complexity of enterprise resource planning (ERP) software to benefit from continuous auditing (CA). The purpose of this study is to relate the understanding of the CA demands and low complexity ERP systems’ technical functionalities in SMEs. Thus, to fulfill this objective, a conceptual model has been drawn to integrate the key concepts related to CA. Four pillars are the core of this model, namely: segregation of duties (SoD) with role-based access control centered on process-based approach (PBA); internal checkpoints; audit trails; and the level of integration of the continuous auditing software. This model was validated through the benchmarking of the implementation of the pillars in three cases of low complexity ERP systems adopted by SMEs in a developing country. The benchmarking/results of the study show significant differences between operational mechanisms of the three ERP software. Namely, the role-based access control exists in the two of the ERP_LC but not in the Brazilian one. Also, there is no check-point in the Brazilian ERP_LC and it does not integrate with continuous audit features. This study distinguishes between the low complexity ERP’s functionalities and the features of a more complex environment, thus bringing an important contribution to the study of low complexity ERP’s readiness for continuous monitoring in SME’s internal auditing processes.
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Readiness of Low Complexity ERP for Continuous Auditing in SMEs: The Brazilian Case Study

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. 