Multi-Criteria Decision Analysis for Wastewater Management using Neutrosophic Hypersoft Sets

Abstract

The Neutrosophic Hypersoft Set (NHSS) introduces a parameterized family structure capable of handling intricate sub-attributes of parameters, thereby extending the expressive power of the Neutrosophic Soft Set. This study applies the NHSS framework to a multi-criteria decision-making problem in the context of wastewater management. By incorporating uncertainty, indeterminacy, and sub-parameter dependencies, the proposed approach provides a more robust and flexible decision-making tool compared to existing models. The TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method is integrated with NHSS to provide a structured ranking of alternatives. A case study involving three management strategies Recycling System, Advanced Treatment Plant, and Waste Reduction Program is used to demonstrate the applicability of the approach.