Imperfect production and rework in contemporary manufacturing systems, are inevitable realities hampering overall performance and cost efficiency. To address this challenge, this study developed an Economic Production Quantity (EPQ) model which integrated defective items, rework, disposal, and penalties for lost sales within a fuzzy decision-making framework. The convexity of the model implied the possible existence of an optimal solution. Compared to conventional crisp models, the proposed approach provided a more robust and realistic evaluation of inventory and cost structures by representing indeterminate parameters such as production cost, backordering cost, and penalty cost through Hexagonal Fuzzy Numbers (HFNs) and Graded Mean Deviation Method (GMDM) for defuzzification. The numerical illustration demonstrated superiority of the fuzzy model in minimizing the total cost, balancing inventory levels, and enhancing service quality. Sensitivity analysis further highlighted the adaptability of the model to combat unpredictable changes in the parameters. The study concluded with valuable insights for decision-makers to optimize imperfect production processes, strengthen resource allocation, and tackle uncertainty in real-world manufacturing environment.
Managing the public sector increasingly requires the application of modern analytical methods that enable decision-making based on multiple criteria. This paper presents a real-world case study in which multicriteria decision-making (MCDM) method sare applied to evaluate the marketing activities and performance of a public institution. The research includes an analysis of the services offered, user satisfaction, and a comparison with alternative institutions in the same field. The obtained results highlight the relevance of MCDM methods for the objective assessment of public services and for strategic planning within the public sector. The paper contributes to a better understanding of the potential for applying MCDM tools in the context of public administration, with particular emphasis on marketing as a mechanism for improving transparency and effectiveness.
Fuzzy data envelopment analysis (FDEA) plays an essential role in the current socio-economic scenario to analyze the performance of decision-making units (DMUs) within a fuzzy environment. This paper introduced a novel Bipolar Fuzzy Data Envelopment Analysis (BFDEA) model using bipolar triangular fuzzy numbers to accommodate both uncertainty and ambiguity in evaluating the performance of a finite number of DMUs. The BFDEA model utilizes a value function for bipolar fuzzy numbers and translates BFDEA models into equivalent crisp models, thus providing thorough and precise evaluations of efficiency. The BFDEA model embraces a super-efficiency framework to offer a full ranking of efficient DMUs, while establishing a benchmarking framework for a meaningful discussion of improvements in performance. A numerical example showed that the BFDEA method could provide a reliable nuanced evaluation even in the presence of conflicting information. This work contributes to the DEA literature, where uncertainty has been inadequately addressed up till the present, by providing breakthroughs in a convincing way for decision makers to analyze performance amidst complicated and indeterminate situations.