Waste produced from medical facilities systems incorporates a blend of dangerous waste which can posture dangers to humans and ecological receptors. Lacking administration of healthcare waste can prompt hazard to medicinal service specialists, patients, public health, communities and the wider environment. Hence, proper management of healthcare waste is imperative to reduce the associated health and environment risk. In this paper, we extend the MULTIMOORA decision making method with intuitionistic hesitant fuzzy set to evaluate the healthcare waste treatment methods. Intuitionistic hesitant fuzzy set is a generalized form of a hesitant fuzzy set. Intuitionistic hesitant fuzzy set considers the uncertainty of data in a single framework and take more information into account. The MULTIMOORA method consists of three parts namely the ratio system, reference point approach and the full multiplicative form. In the optimal ranking methods, the IHF-MULTIMOORA method is uncomplicated it is able to be used practically with high dimension intuitionistic hesitant fuzzy sets. For pathological, pharmaceutical, sharp, solid and chemical wastes, the preferred waste disposal methods are deep burial, incineration, autoclave, deep burial, and chemical disinfection, respectively.

The Fermatean probabilistic hesitant fuzzy set (FPHFS) concept is a method that combines Fermatean fuzzy sets and PHFS to provide detailed MCDM problem solutions. The management of solid waste is facing challenges in disposing of environmentally harmful plastic products. The study primarily focuses on plastic waste from the packaging industry, as it is the primary contributor to overall waste generation. The packaging sector has proposed a concept for the recycling of waste at various levels. This study aims to assess the effectiveness of the hybrid analytic hierarchy process and the combinative distance-based assessment (AHP-CODAS) method FPHFS in determining the most suitable plastic waste collection system. The AHP analysis identified the most effective methods for collecting plastic waste for recycling, emphasizing successful segregation for efficient recycling. A deposit and refund system promotes waste collection and a circular economy by facilitating efficient waste management. The research offers valuable insights into selecting packaging waste collection (PWC) technology in uncertain environments and enhances decision-making methods in the field.