Uncertain Multi-Criteria Optimization Problems

Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems

An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion

The recent boom of various integrated decision-making methods has attracted many researchers to the field. The recent integrated Analytic Network Process and Decision Making Trial and Evaluation Laboratory (ANP–DEMATEL) methods were developed based on crisp numbers and fuzzy numbers. However, these numbers are incapable of dealing with the indeterminant and inconsistent information that exists in real-life problems

Investment decision analysis of international megaprojects based on cognitive linguistic cloud models

The investment decision analysis of international megaprojects is a major area of interest. The choice of interna tional megaprojects usually depends on the multi-discipline knowledge from experts. Besides, experts may not be able to provide accurate or crisp evaluations such as deterministic numbers on each criterion because of the complexity of the decision problem. In this case, natural evaluation language, either single linguistic variable or multiple linguistic variables, is a good expression tool for experts to sharing their opinions freely and flexibly. To this end, this paper introduces a cognitive linguistic cloud model for the investment decision analysis of international megaprojects as a decision support system and provides a survey of the cloud model. Afterwards, the technique to tackle multi-granularity of cognitive linguistic information is proposed to capture personalized semantics. In addition, operators of the cognitive linguistic model are proposed to aggregate natural language. The proposed approach has the advantages of more accurate utilization of experts’ knowledge, reducing uncertainties, and more effective operations of cognitive clouds for decision analysis in comparing with the state of the art. Finally, a case study about the investment of international megaprojects is given to show the flexibility and understandability of the cognitive linguistic model

Hybrid fuzzy analytical hierarchy process with fuzzy inference system on ranking stem approach towards blended learning in mathematics

In the era of Education 4.0, blended learning has been selected as one of the transformational pedagogies for the teaching and learning process that integrate Science, Technology, Engineering, and Mathematics (STEM), a new norm that needs to be adopted by Malaysia. Since the COVID-19 pandemic, the issue has been highlighted at most levels of study in the education field. However, limited knowledge of the implementation of 21st Century learning skills with Web 2.0 among teachers has made the students demotivated for their mathematics classroom. Moreover, dynamic changes in the standard curriculum have made the situation more challenging for teachers in selecting the appropriate STEM approach to ensure students are fully engaged. Inspired by the problem, this research used fuzzy multi-criteria decision-making (MCDM) concepts. A hybrid fuzzy MCDM model proposes a four stages process to rank and find the best implementation STEM approach in the mathematics classroom. The model is constructed by integrating the Fuzzy Analytical Hierarchy Process (FAHP) to determine the weights of STEM criteria and sub-criteria and the Fuzzy Inference System (FIS) to compute the best STEM approach in the mathematics classroom. The procedure involves exploring the issue associated with the selection problems, deriving decision criteria important weights, and ranking various alternatives with applied intuitive multiple centroids as a defuzzification method. The results showed hands-on activities as the best STEM approach while requisite knowledge is the important criterion with the greatest value of weights. Thus, the proposed model helps provide a clear picture for teachers in the implementation of STEM approach in Mathematics based on a comprehensive view and also lay a new foundation knowledge in fuzzy MCDM view, particularly in STEM education. Also, it helps the Ministry of Education (MoE) to achieve one of the initiatives in Wave 3 of the Malaysia Education Blueprint (2021-2025), which is to share the best practice in the classroom to cultivate a peer-led culture of professional excellence among teachers as the basis for improving the implementation and achievement of STEM at the national level

Optimization for Sustainable Design through Building Information Modeling

More than thirty years after the definition of the concept of sustainable development, the European Union's Agenda 2030 renews its commitment to protect the Planet and to support the needs of present and future generations. All sectors of human activity have to make their contribution to this significant challenge of our time. Therefore, the construction sector can also make an essential contribution in terms of its impact. In this context, designers are called upon to modify their actions in order to take into account the environmental, social, and economic impacts during the entire life cycle of construction. Therefore, a substantial transformation in the designer's "mentality" is necessary. The digital revolution could be a suitable opportunity for a profound renewal oriented towards sustainability. The new digital technologies and the increased computing power are useful to manage the increasing complexity in current projects and to support collaboration between the many experts involved. The thesis aim is to analyse the current state and identify the signs of change and the cues to imagine possible virtuous complicity between sustainable development goals and the potential of the digital revolution, supported by the operational features of optimization methods. The further intent is to translate the synergy between the three key topics - sustainability, digitization, and optimization - through an operational strategy that can be a concrete demonstration of what is proposed and offered to designers

Conception et application d'une méthodologie multicritère floue de sélection de logiciels de planification et d'ordonnancement avancé (APS)

Avec la mondialisation, la croissance des entreprises et les besoins de plus en plus exigeants des clients, les défis en termes de planification et d’ordonnancement des opérations en environnement manufacturier ne cessent de croitre. Face à cette situation, les entreprises manufacturières sont dans l’obligation de mettre à jour leurs politiques de planification et d’ordonnancement en adoptant des systèmes et des approches de planifications nouvelles telles que la planification et l’ordonnancement avancés (POA). Dans cet exercice, les entreprises désirant implanter des approches de POA ont généralement deux possibilités. Elles peuvent choisir de développer une solution personnalisée ou alors d’implanter des logiciels commerciaux de POA. La deuxième piste est plus courue de nos jours. L’objectif de ce travail est d’accompagner les entreprises désirant améliorer la planification et l’ordonnancement de leurs opérations par la sélection et l’implantation d’un logiciel commercial de POA. Plus précisément, le but de ce travail est d’évaluer et de sélectionner parmi les logiciels commerciaux de POA disponibles sur le marché celui qui satisfait au mieux les besoins de l’entreprise. Trois sous objectifs ont été identifiés : la cartographie des processus de planification et d’ordonnancement de l’entreprise, la capture des besoins de l’entreprise et la conception d’une nouvelle méthodologie de sélection intégrant sous incertitude à la fois les besoins de l’entreprise et les critères et sous critères de sélection. La méthodologie adoptée pour cette étude est celle dictée par la science de la conception, qui permet l’itération du processus de conception afin de perfectionner et de valider les résultats ou les livrables obtenus. Des données sont recueillies auprès d’experts et des preneurs de décisions internes à l’entreprise à l’aide d’entrevues individuelles et de groupes. Par ailleurs, en guise de contributions de cette recherche, trois méthodes ont été conçues. La première méthode permet de cartographier les processus de l’entreprise. La deuxième méthode est destinée à la capture des besoins de l’entreprise tandis que la troisième méthode intègre le déploiement de la fonction qualité (DFQ), l’analyse hiérarchique des processus (AHP) et la méthode VIKOR pour la sélection du logiciel qui satisfait au mieux les besoins de l’entreprise. Cette intégration est rendue possible en mettant en place une version modifiée du DFQ. L’incertitude sur les données provenant des enquêtes adressées aux experts et aux preneurs de décision est considérée par l’utilisation de la logique floue et des variables linguistiques. L’approche globale de l’étude est appliquée à un cas réel d’entreprise manufacturière. Les résultats montrent la pertinence des méthodes développées face au problème de selection d’un logiciel de POA