Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions

We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a topological space and the concept of a countable network weight. In particular, we are concerned with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness.hereditarily Lindeloef space; weakly continuous binary relation; countable network weight; hemicompactness; submetrizability

Extensions defined using bornologies

[EN] Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [ Y , provided there exists a map, satisfying some conditions, from a basis of Y into the family of the subsets of X which are “unbounded” with respect to a given bornology in X. We give a first example of a (nonregular) extension with closed remainder which cannot be obtained as B-extension. Extensions with closed discrete remainders and extensions whose remainders are retract are mostly considered. We answer some open questions about separation properties and metrizability of B-extensionsCaterino, A.; Vipera, MC. (2011). Extensions defined using bornologies. Applied General Topology. 12(2):81-94. doi:10.4995/agt.2011.1644.SWORD819412

Digital Twin for Monitoring Ergonomics during Manufacturing Production

Within the era of smart factories, concerning the ergonomics related to production processes, the Digital Twin (DT) is the key to set up novel models for monitoring the performance of manual work activities, which are able to provide results in near real time and to support the decision-making process for improving the working conditions. This paper aims to propose a methodological framework that, by implementing a human DT, and supports the monitoring and the decision making regarding the ergonomics performances of manual production lines. A case study, carried out in a laboratory, is presented for demonstrating the applicability and the effectiveness of the proposed framework. The results show how it is possible to identify the operational issues of a manual workstation and how it is possible to propose and test improving solutions

Human–Robot Interaction for Improving Fuselage Assembly Tasks: A Case Study

In current industrial systems, automation is a very important aspect for assessing manufacturing production performance related to working times, accuracy of operations and quality. In particular, the introduction of a robotic system in the working area should guarantee some improvements, such as risks reduction for human operators, better quality results and a speed increase for production processes. In this context, human action remains still necessary to carry out part of the subtasks, as in the case of composites assembly processes. This study aims at presenting a case study regarding the reorganization of the working activity carried out in workstation in which a composite fuselage panel is assembled in order to demonstrate, by means of simulation tool, that some of the advantages previously listed can be achieved also in aerospace industry. In particular, an entire working process for composite fuselage panel assembling will be simulated and analyzed in order to demonstrate and verify the applicability and effectiveness of human-robot interaction (HRI), focusing on working times and ergonomics and respecting the constraints imposed by standards ISO 10218 and ISO TS 15066. Results show the effectiveness of HRI both in terms of assembly performance, by reducing working times and ergonomics-for which the simulation provides a very low risk index

Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions

We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a topological space and the concept of a countable network weight. In particular, we are concerned with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness

Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions

We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a topological space and the concept of a countable network weight. In particular, we are concerned with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness

Normally preordered spaces and continuous multi-utilities

[EN] We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence a Richter-Peleg multi-utility representation, by assuming the existence of a countable net weight.This research was carried out within the Gruppo Nazionale per l’Analisi Matematica, la Probabilit`a e le loro Applicazioni, Istituto Nazionale di Alta Matematica (Italy).Bosi, G.; Caterino, A.; Ceppitelli, R. (2016). Normally preordered spaces and continuous multi-utilities. Applied General Topology. 17(1):71-81. doi:10.4995/agt.2016.4561.SWORD7181171Alcantud, J. C. R., Bosi, G., & Zuanon, M. (2015). Richter–Peleg multi-utility representations of preorders. Theory and Decision, 80(3), 443-450. doi:10.1007/s11238-015-9506-zAlcantud, J. C. R., Bosi, G., Campión, M. J., Candeal, J. C., Induráin, E., & Rodríguez-Palmero, C. (2007). Continuous Utility Functions Through Scales. Theory and Decision, 64(4), 479-494. doi:10.1007/s11238-007-9025-7Bosi, G., & Herden, G. (2012). Continuous multi-utility representations of preorders. Journal of Mathematical Economics, 48(4), 212-218. doi:10.1016/j.jmateco.2012.05.001Bosi, G., & Herden, G. (2016). On continuous multi-utility representations of semi-closed and closed preorders. Mathematical Social Sciences, 79, 20-29. doi:10.1016/j.mathsocsci.2015.10.006Bosi, G., & Isler, R. (2000). Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions. Applied General Topology, 1(1), 93. doi:10.4995/agt.2000.3026Bosi, G., & Mehta, G. B. (2002). Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof. Journal of Mathematical Economics, 38(3), 311-328. doi:10.1016/s0304-4068(02)00058-7Caterino, A., & Ceppitelli, R. (2015). Jointly continuous utility functions on submetrizable kω-spaces. Topology and its Applications, 190, 109-118. doi:10.1016/j.topol.2015.04.012Caterino, A., Ceppitelli, R., & Holá, Ľ. (2013). Some generalizations of Backʼs Theorem. Topology and its Applications, 160(18), 2386-2395. doi:10.1016/j.topol.2013.07.033Caterino, A., Ceppitelli, R., & Maccarino, F. (2009). Continuous utility functions on submetrizable hemicompact k-spaces. Applied General Topology, 10(2), 187-195. doi:10.4995/agt.2009.1732Evren, Ö., & Ok, E. A. (2011). On the multi-utility representation of preference relations. Journal of Mathematical Economics, 47(4-5), 554-563. doi:10.1016/j.jmateco.2011.07.003K�nzi, H.-P. A. (1990). Completely regular ordered spaces. Order, 7(3), 283-293. doi:10.1007/bf00418656Minguzzi, E. (2011). Normally Preordered Spaces and Utilities. Order, 30(1), 137-150. doi:10.1007/s11083-011-9230-

Towards Digital Twin Implementation for Assessing Production Line Performance and Balancing

The optimization of production processes has always been one of the cornerstones for manufacturing companies, aimed to increase their productivity, minimizing the related costs. In the Industry 4.0 era, some innovative technologies, perceived as far away until a few years ago, have become reachable by everyone. The massive introduction of these technologies directly in the factories allows interconnecting the resources (machines and humans) and the entire production chain to be kept under control, thanks to the collection and the analyses of real production data, supporting the decision making process. This article aims to propose a methodological framework that, thanks to the use of Industrial Internet of Things—IoT devices, in particular the wearable sensors, and simulation tools, supports the analyses of production line performance parameters, by considering both experimental and numerical data, allowing a continuous monitoring of the line balancing and performance at varying of the production demand. A case study, regarding a manual task of a real manufacturing production line, is presented to demonstrate the applicability and the effectiveness of the proposed procedure

ODINet - Online Data Integration Network

Along with the expansion of Open Data and according to the latest EU directives for open access, the attention of public administration, research bodies and business is on web publishing of data in open format. However, a specialized search engine on the datasets, with similar role to that of Google for web pages, is not yet widespread. This article presents the Online Data Integration Network (ODINet) project, which aims to define a new technological framework for access to and online dissemination of structured and heterogeneous data through innovative methods of cataloging, searching and display of data on the web. In this article, we focus on the semantic component of our platform, emphasizing how we built and used ontologies. We further describe the Social Network Analysis (SNA) techniques we exploited to analyze it and to retrieve the required information. The testing phase of the project, that is still in progress, has already demonstrated the validity of the ODINet approach